Answer:
$12.99
Step-by-step explanation:
$38.97/3
The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 
Answer:
48 miles
Step-by-step explanation:
i think thats it.
Answer: 4.
Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.
Hope this helps!
Which is the correct value of Z for the solution to true system?
2x+3y-z=4
x-3y+2z=-3
3x+y-z=5
The correct value of Z for the solution to true system is -2
How to determine the correct value of Z for the solution to true system?From the question, we have the following parameters that can be used in our computation:
2x + 3y - z = 4
x - 3y + 2z = -3
3x + y - z = 5
Transform the third equation
So we have
2x + 3y - z = 4
x - 3y + 2z = -3
9x + 3y - 3z = 15
Eliminate y in the equations by subtraction
So we have
x - 3z = 7
10x - z = 12
Multiply x - 3z = 7 by 10
10x - 30z = 70
10x - z = 12
Subtract the equations
-29z = 58
So, we have
z = -2
Hence, the correct value of Z is -2
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choose the correct problem for the fraction 25 20
Find the 6terms of the series 247
The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.
To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.
Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.
The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.
Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.
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Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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What is the height of the pennant? Recall the formula
A = bh.
12 inches
15 inches
30 inches
36 inches
Answer:
I think it is 30 inches
Step-by-step explanation:
Answer: C
Step-by-step explanation: on edge 2023
Which of the following statements is not true?
Choose the incorrect statement below.
The three-part inequality - 1 <-3x ≤ 1 is equivalent to -5x<
15x2
<3 is equivalent to -6≤5-x<6.
The three-part inequality - 3s-
OD. The three-part inequality -7≤11-x<7 is equivalent to 4 < x≤ 18.
OA.
OB.
C.
The three-part inequality -5s-10x<5 is equivalent to
5-x
...
The incorrect statement is:
B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.
In the given statement, there is an error in the inequality. The correct statement should be:
The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.
When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:
- 5x < 15x^2 and 15x^2 < 3
Simplifying the first inequality:
- 5x < 15x^2
Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:
- 5 < 15x
Simplifying the second inequality:
15x^2 < 3
Dividing by 15, we get:
x^2 < 1/5
Taking the square root (assuming x ≥ 0), we have two cases:
x < 1/√5 and -x < 1/√5
Combining these inequalities, we get:
- 5 < 15x and x < 1/√5 and -x < 1/√5
Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.
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What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answer:
96Step-by-step explanation:
Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)
= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96
the median is defined as: multiple choice question. the value of the observation that occurs most frequently the arithmetic mean of the values of a set of data the midpoint of the values after they have been arranged in rank order the average of the largest and the smallest value in a data set
The median is defined as the midpoint of the values after they have been arranged in rank. Option B
What is median?Median is simply defined as the middle value of a given sorted list of numbers or data set.
It is seen as the value that separates the higher half from the lower half of a given data sample, a probability distribution or a population.
For a data set, it is also called "the middle" value.
It also involves ordering the data set or a group of numbers in an ascending order, that is, from least to greater number.
The media is selected from picking the number in the midpoint for an even set of data which does not always occur.
In an odd group of data, after ordering the number from the least to the greatest, the two mid-numbers are taken, added and divided by half to determine the median.
Hence, the median is the midpoint of a set of ordered data.
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Transcribe the directions lantanoprost 0.005% ophthalmic solution sig. Ii drops o.u. daily h.s.
Answer:
The transcription of the directions for Lantanoprost 0.005% ophthalmic solution is as follows:
"Sig: ii drops o.u. daily h.s."
This means to use the medication as follows:
"ii drops" = two drops
"o.u." = both eyes
"daily" = once a day
"h.s." = at bedtime (from the Latin "hora somni")
So the complete directions would be:
"Instill two drops in both eyes once a day at bedtime."
What is the meaning of "the cancellation laws"?
Each step of this theorem is proved below.
Given that,
S is finite,
Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).
According to the cancellation rule,
This product is independent of the order of the factors.
As a result, we can define the identity element e as this product.
It is simple to demonstrate that e meets the criteria of an identity element.
Now, let's show that every element of S has an inverse.
Let a be any element of S. Consider the set {a, a, a, ...}.
Since S is finite,
There exist positive integers m and n such that
am = an for some m > n.
By the cancellation law,
We can cancel a power of a from both sides to get a\({(m-n)}\) = e.
This means that a has an inverse, and we can conclude that S is a group.
Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.
This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.
As a result, this is not a group.
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Can anyone help me with this thank you :))
Answer:17
Step-by-step explanation:
5w + 2
5(3) + 2
15 + 2
17
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use a=0.05 . Factor A is method of loading and unloading; Factor B is the type of ride.
Type of Ride
Roller Coaster Screaming Demon Long Flume
Method 1 47 51 54
49 43 50
Method 2 51 47 50
53 43 46
Set up the ANOVA table (to whole number, but -value to 2 decimals and value to 1 decimal, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square F -value
Factor A
Factor B
Interaction
Error
Total
The -value for Factor A is
What is your conclusion with respect to Factor A?
The -value for Factor B is ________
What is your conclusion with respect to Factor B?
The p-value for the interaction of factors A and B is
What is your conclusion with respect to the interaction of Factors A and B?
What is your recommendation to the amusement park?
Part 5
Use either loading or unloading methods.
Since the two factors are not significant. So, use either loading or unloading methods.
How to solveThe null and alternative hypotheses can be defined as follows:
The null hypothesis,
H_0: There is no significance difference between two levels of method at 5% level of significance.
Against alternative hypothesis,
H_a: There is significant difference between two levels of method at 5% level of significance.
From the ANOVA table, the P-value for factor A is 0.315.
Since, 0.315 is greater than the level of the significance. So, the null hypothesis fails to be rejected.
Therefore, there is no significant difference between two levels of method of main effect at 5% level of significance.
Part 2
The P-value is 0.315.
There is no significant difference between two levels of method of main effect at 5% level of significance.
Explanation
Since, 0.315 is greater than the level of the significance. So, the null hypothesis fails to be rejected.
Therefore, there is no significant difference between two levels of the method of main effect at 5% level of significance.
Step 3/5
(3)
The null and alternative hypotheses can be defined as follows:
The null hypothesis,
H_0: There is no significance difference between three types of rides at 5% level of significance.
Against alternative hypothesis,
H_a: There is significant difference between three types of rides at 5% level of significance.
From the ANOVA table, the P-value for factor B is 0.687.
Since, 0.687 is greater than the level of the significance. So, the null hypothesis fails to be rejected.
Therefore, there is no significance difference between three types of ride at 5% level of significance.
Part 3
The P-value is 0.687.
There is no significance difference between three types of ride at 5% level of significance.
Since, 0.687 is greater than the level of the significance. So, the null hypothesis fails to be rejected.
Therefore, there is no significant difference between three types of ride at 5% level of significance.
Step 4/5
(4)
The null and alternative hypotheses can be defined as follows:
The null hypothesis,
H_0: There is no significance difference of interaction between method and ride at 5% level of significance.
Against alternative hypothesis,
H_a: There is significance difference of interaction between method and ride at 5% level of significance.
From the ANOVA table, the P-value for integration of factor A and factor B is 0.138.
Since, 0.138 is greater than the level of the significance. So, the null hypothesis fails to be rejected.
Therefore, there is no significant difference that the interaction between loading and unloading method and types of ride at 5% level of significance.
Part 4
The P-value is 0.138.
There is no significant difference that the interaction between loading and unloading method and types of ride at 5% level of significance.
Explanation
Hint for Next Steps
Since, 0.138 is greater than the level of the significance. So, the null hypothesis fails to be rejected.
Therefore, there is no significant difference that the interaction between loading and unloading method and types of ride at 5% level of significance.
Step 5/5
(5)
Since, the two factors are not significant. So, use either loading or unloading methods.
Part 5
Use either loading or unloading methods.
Since the two factors are not significant. So, use either loading or unloading methods.
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Divide: 7 5/6 ÷ 2/3 need help
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
Scott is selling coupon books to raise money for his football team. If he raised $60 so far and the coupon books cost $15 each, how many more must he sell in order to raise at least $300?
Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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For what values of a are the following expressions true?
1. |a-5|=5-a
2.|a|=-a
Answer:
1. a = 0 and 5
2. no solutions
Step-by-step explanation:
For absolute value, it's the distance from that number on the number line to 0, so it has to be positive. We define absolute value as when |a| = b, a = b and a = -b.
1. |a - 5| = 5 - a
a - 5 = 5 - a
2a = 10
a = 5
AND
a - 5 = -(5 - a)
a - 5 = -5 + a
-5 = -5
a = 0 (a could work as 0 in this scenario)
Thus our solutions are a = 0 and 5.
2. |a| = -1
Now we have to catch ourselves here. Since absolute value is always positive, nothing works. There is no negative distance to 0 (at least in real numbers). Hence, we can say that there are no solutions.
how much money did she have at first
Step-by-step explanation:
x = the total money she had first.
x - x×1/4 - (x - x×1/4)×1/2 = 15
you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.
now, we can simplify :
(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4
x×3/4 - x×3/4 × 1/2 = 15
x×3/4 - x×3/8 = 15
we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :
x×3×2 - x×3 = 120
6x - 3x = 120
3x = 120
x = $40
she had $40 at the beginning.
Imagine a clock with the hour hand at 12 and the minute hand at 2. Does the angle formed by the two hands have a measure greater than, less than, or equal to 1/4 turn?
The angle formed by the two hands have a measure less than 1/4 turn
How to relate the measure of the angle to 1/4 turn?From the question, we have the following parameters that can be used in our computation:
A clock with the hour hand at 12 and the minute hand at 2
The turn represented by the above is represened as
Turn = (2 * 30)/360
When simplified, we have
Turn = 1/6
Next, we have
Angle at the turn = 1/4
1/6 is less than 1/4
This means that the angle formed by the two hands have a measure less than 1/4 turn
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find the exact value of sin a = 4/5, a lies in quadrant 2, and cos B = 2/5, B lies in quadrant 1 find cos(a-b)
Answer:
Cos(a - b) = 0.959
Step-by-step explanation:
We know that:
Sin(a) = 4/5
Such that a is on the first quadrant (between 0° and 90°)
then:
Sin(a) = 4/5
Asin(sin(a)) = Asin(4/5)
a = Asin(4/5) = 53.13°
And:
Cos(b) = 2/5
Then:
Acos(Cos(b)) = Acos(2/5)
b = Acos(2/5) = 36.67°
Then:
Cos(a - b)
where:
a = 53.13° and b = 36.67°
Then:
Cos(a - b) = Cos(53.13° - 36.67°) = 0.959
\( {x }^{2} + 13 + 40 = 0\)solve the equation show your reasoning
To solve the quadratic equation, we must factorize the left side into two factors
\(x^2+13x+40=0\)We have to look for two numbers their product = 40, and their sum = 13
Since 8 x 5 = 40 and 8 + 5 = 13, then the factors will be
(x + 5) and (x + 8)
\(\begin{gathered} x^2+13x+40=(x+5)(x+8) \\ (x+5)(x+8)=0 \end{gathered}\)Now we will equate each factor by 0
\(\begin{gathered} x+5=0 \\ x+8=0 \end{gathered}\)Let us solve them to find the values of x
x + 5 = 0
Subtract 5 from both sides
\(\begin{gathered} x+5-5=0-5 \\ x=-5 \end{gathered}\)x + 8 = 0
Subtract 8 from both sides
\(\begin{gathered} x+8-8=0-8 \\ x=-8 \end{gathered}\)The solution of the equation is
x = -5 and x = -8
The answer is
x = -5 and x = -8
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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4. Higher Order Thinking A national TV
news show conducted an online poll to find
the nation's favorite
comedian. The
website showed
the pictures of
5 comedians and
asked visitors of the
site to vote. The news
show inferred that
the comedian with
the most votes was
the funniest comedian
in the nation.
a. Is the inference valid? Explain.
b. How could you improve the poll? Explain.
No, the inference is not valid because it excluded those who were not online and so did not see the poll.
To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds
How to improve the poll ?The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.
To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.
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En una ciudad de 5000 habitantes, la tasa diaria
de infección con un virus de la gripe varia directamente con el producto de
personas infectadas y el número de personas no infectadas. Cuando se han
infectado 1000 personas, la gripe se esparce a razón de 40 nuevos casos por día.
¿Para qué número de personas infectadas, la tasa diaria de infección es la
máxima?
According to the information, the maximum infection rate is: k * 2500 * (5000 - 2500) = 6250k = 40
How to calculate for what number of infected people, the daily infection rate is the maximum?To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:
infection rate = k * (infected people) * (uninfected people)where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:
infection rate = k * x * (5000 - x)To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:
d(infection rate)/dx = k * (5000 - 2x) = 0This implies that 5000 - 2x = 0, and therefore:
x = 2500Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.
However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:
infection rate = k * 2500 * (5000 - 2500) = 6250kIf the infection rate is 40 new cases per day, we have:
40 = 6250kwhich implies that:
k = 0.0064Therefore, the maximum infection rate is:
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What is the volume of the composite figure
Answer:
291
Step-by-step explanation:
2*2*2=8*2=16
16+(11*5*5)=291
Answer:
291cm^3
Step-by-step explanation:
11×5×5=275cm^3
2×2×2=8cm^3
8cm^3 + 8cm^3= 16cm^3
275+16=291cm^3
In Jasón home room 8/30 of the students like soccer best , 6/15 like volleyball best , and 5/15 like baseball best . Select true or false . A. In simplest form 2/15 of the students like soccer best , B. 3/5 of the students like volleyball best , C. 1/3 of the students like baseball best .
Answer:
False and B
Step-by-step explanation:
cos xº [Hint: Change degree into radian] find the derivative from definition
The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)
Finding the derivative of the functionFrom the question, we have the following function definition that can be used in our computation:
cos(xº)
Changing the degree into radian, we have
cos(xπ/180)
Express as a function
So, we have
y = cos(xπ/180)
When the cosine function is differentiated, we have
y' = -sin(xπ/180)
Hence, the differentiated function is y' = -sin(xπ/180)
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The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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What is the endpoint of a line segment if the midpoint M( – 3, 4) and the other endpoint is E(7, – 2)?
Answers
(– 13, 10)
(10, – 13)
(– 1, 2)
(2, – 1)
9514 1404 393
Answer:
(-13, 10)
Step-by-step explanation:
If M is the midpoint of segment DE, then ...
D = 2M -E
D = 2(-3, 4) -(7, -2) = (2(-3)-7, 2(4)+2) = (-13, 10)
The other end point is (-13, 10).
BRANLIEST and point for best answer
Kenny wakes up at 8:00. He visits a friend at half past 10:00. He goes to the playground at 1:00
Kenny
Answer:
so how many minutes? 750
Step-by-step explanation: