So, the first blank is for what kind of angle it is: acute, obtuse, reflex, straight, or right. The second blank is for what the measure of the angle is. You can find that out by looking at the protractor. It should tell you what the measure of the angle is. You can read the protractor by looking at the numbers. The numbers are the degrees of incline the angle measures, which is what you're looking for.
Write two equivalent ratios as fractions, where one of the fractions is in simplest form. In complete sentences, describe the following: What is the relationship between the numerators of the two fractions
Answer:
1/3 and 6/18 their relationship is 6
Step-by-step explanation:
I think this might be the answer but I was confused as to what it meant as well. Sry if it’s wrong :(
Please answer. I will give brainliest.
Answer:
1/2b - 5 (the third one)
Step-by-step explanation:
"Denni is five years less..."
this tells us we will need to be subtracting five, which knocks out the other answers.
"..one-half his brothers age."
since b represents the age of his brother, one half his brothers age is 1/2b
That leaves us with 1/2b - 5
is the line through (-4, 26, 1) and (-2, 0, -3) parallel to the line through (10, 18, 4) and (5, 3, 14)?
No, the line passing through (-4, 26) and (-2, 0) is not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.
Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.
We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.
Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)
So, for first line we have (x₁, y₁)=(-4,26)
and (x₂, y₂)=(-2,0)
So, slope(m₁) of first line is =(0-26)/(-2 - (-4))
=>m₁ = -26/2
=>m₁ = -13 ----(eq1)
Similarly, for second line, we have (x₁, y₁)=(10,18)
and (x₂, y₂)=(5,3)
So, slope(m₂) of second line is =(3-18) / (5-10)
=>m₂ = -15/-5
=>m₂= 3 -------(eq2)
On comparing eq1 and eq2,we get
=>m₁≠m₂.
Hence, the given lines are not parallel.
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(Complete question) is:
Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?
18. Computer Value You buy a computer for $3000. It depreciates at the rate o
20% per year. Find the value of the computer for the given year.
Answer:
value=3000(1-.20)^t=3000(0.8)^t
Step-by-step explanation:
a. 1year
v=3000(0.8)^1
v=$2400
find the value of k, so that the difference of roots of x^2_5x + 3{k_1} =0 is 11
u can find the answer in the attached file
Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11
Step-by-step explanation:
v=kg
36=k×4
k=36/4
k=9
v=9×11
v=99
9 + x + 1 + 2x
Can someone help me out with this :)
\(\huge\text{Hey there!}\)
\(\huge\text{9 + x + 1 + 2x}\)
\(\huge\text{= 9 + 1x + 1 + 2x}\)
\(\huge\textsf{COMBINE the LIKE TERMS}\)
\(\huge\text{= (9 + 1) + (1x + 2x)}\)
\(\huge\text{= 10 + 3x or 3x + 10}\)
\(\huge\text{Answer: \textsf{3x + 10}}\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
What is equidistant from the angles of a triangle?
The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.
In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.
Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.
A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm.
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Please help I need to finish this in 2 days
The angle subtended at the center of the arc is 102⁰
What is the length of the arc?Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc. If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.
Lenght of arc = A/360 *2пr
A = angle at center = ?
п = 22/7 r = radius = 840 feet
⇒1500 = A/360 2 *22/7 * 840
1500 = 36960A/2520
3780000= 36960A
making A the subject we have
3780000/36960 = A
A = 102.27
A= 102⁰
The angle is 102⁰
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A diagram showing a neighborhood park is plotted on the coordinate plane. Each unit on the coordinate plane represents 1 yard. Find the PERIMETER and the AREA.
Answer:
Step-by-step explanation
The length of the left sloping line
= √ (5^2 + 7^2) = √74.
The right sloping line
= √(5^2 + 5^2) = √50.
So the perimeter:
= √74 + √50 + 2 + 2 * 4 + 14
= 39.67 to nearest hundreth.
Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14
= 96.
Determine if each root is a rational or irrational number. explain your reasoning. √ 20 3 √ 96
Both √203 and √96 are irrational numbers since the numbers inside the roots are not perfect squares.
To determine whether a root is rational or irrational, we need to know if the number inside the square root is a perfect square or not. If it is not, then the root is irrational.
For √203, we can determine that 203 is not a perfect square, since the last digit is 3, which is not a perfect square. Therefore, √203 is an irrational number.
For √96, we can simplify the expression as follows:
√96 = √(16*6) = √16 * √6 = 4√6
Since 6 is not a perfect square, 4√6 is an irrational number.
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Explain the meaning of the scale 1 :100 in words
Answer:
-> The scale 1:100 means that every measurements in the plan will probably represent a size of 100 times larger in real life.
-> For example:
Adam is drawing a plan of an office room with a scale of 1:100. In the plan, it is shown that the width of the room is 0.8 feet. We then proceed to calculate the width in real life as follow:
0.8 × 100 = 80 ft
=> So the width of the office room is 80 ft.
A system of equations and its solution are given below system
System A
Solution: (-2,1)
To get system B below, the second equation in a system A was replaced by sum of that equation and the first equation in system A mutiplied by -2.
System B
5x - y = -11
A) The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
B) The second equation in system B is 7x = 30. the solution to system B will not be the same as the solution to system A.
C) The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
D) The second equation in the system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
The amount of undeveloped land in a suburban community has been decreasing by one-eighth each year since 2002. In 2002, there were 30 acres of undeveloped land
find the solution showing the number of years, t, it took for the amount of undeveloped land to be approximately 15.39 acres.
It took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.
Let L(t) be the amount of undeveloped land in acres at time t, where t is measured in years since 2002. Then, we can write:
L(t) = 30 * (7/8)^t
We know that the amount of undeveloped land we are interested in is approximately 15.39 acres. Therefore, we can set up the following equation:
15.39 = 30 * (7/8)^t
To solve for t, we can first divide both sides by 30:
0.513 = (7/8)^t
Next, we can take the natural logarithm of both sides:
ln(0.513) = ln[(7/8)^t]
ln(0.513) = t * ln(7/8)
t = ln(0.513) / ln(7/8)
t ≈ 5.3
Therefore, it took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.
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How to solve this? I have no clue and also teach me on how to solve this! Thank you!!!
Answer:
90 counterclockwise or 270 clockwise
Step-by-step explanation:
just trust me bro lolskies
====================================================
Explanation:
Through some strange formatting error, the tickmarks are not in the proper locations. They should be to the right and slightly above the letter. They should be close by, and not far away like that.
It looks like the purple figure is the image while the blue figure is the preimage. If that's the case, then we've applied a 90 degree counterclockwise rotation to go from blue to purple.
Notice how angle AQA' is 90 degrees as shown by the green segments in the diagram below. So are BQB' and CQC' and DQD' as well.
We could also rotate the blue figure 270 degrees clockwise to arrive at the same purple image. Note how 90+270 = 360 which is a full circle.
Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Answer: 0ft < X ≤ 5.73ft
Step-by-step explanation:
In this case, we have a rectangle.
For a rectangle of length L and width W, the area is:
A = L*W.
And we have:
L = X
W = X + 3ft.
Then the area will be:
A = X*(X + 3ft) = X^2 + 3ft*X.
And we want to have a maximum area of 50ft^2.
Then we can write:
A = X^2 + 3ft*X ≤ 50ft^2
Now let's solve this for X.
Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.
Then makes sense start for the upper limit of X, this is when:
X^2 + 3ft*X = 50ft^2.
Now we can solve the quadratic equation:
X^2 + 3ft*X - 50ft^2 = 0
Applying the Bhaskara formula, the solutions are:
\(X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}\)
Then we have two solutions:
X = (-3ft - 14.46ft)/2 = -8.73 ft.
X = (-3ft + 14.46ft)/2 = 5.73 ft
Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.
This is the maximum value of X, and we will have:
0ft < X ≤ 5.73ft
Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.
The number of milliliters of toner in a printer, y, depends on the number of pages of
paper printed (in hundreds), x. The equation that can be used to model the situation is:
y = 2x + 60.What is the slope and what does it represent in the context of the problem?
(A) The slope is 60 and it means the printer starts with 60 milliliters of toner
(B) The slope is 60 and it means the printer loses 60 milliliters of toner every hundred
pages
(C) The slope is -2 and it means that each page that is printed uses two milliliters of
toner
(D) The slope is -2 and it means that each hundred pages printed uses two milliliters of
toner
The slope is -2 and which means that each page that is printed uses two millilitres of toner. Therefore, option C is the correct answer.
Given that, the number of millilitres of toner in a printer, y, depends on the number of pages of paper printed (in hundreds), x. The equation that can be used to model the situation is y = -2x + 60.
We need to find what is the slope and what it represents in the context of the problem.
What is the slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
When we compare the equation y = -2x + 60 with the slope intercept form y=mx+b, we get slope(m) as -2.
The slope is -2 and which means that each page that is printed uses two millilitres of toner.
Therefore, option C is the correct answer.
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help me help me help me
Answer:
Step-by-step explanation:
The angles are vertically opposite
Vertically opposite angles are always equal
? = 53 degrees.
Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car. Their responses are shown in the table below.
Car Color
Favorite Color
Number of Students
Blue
5
Red
18
Gray
27
Silver
14
White
16
Using proportional reasoning, how many students out of the 1,000 would you expect to prefer a silver car?
There are 175 students out of the 1,000 would you expect to prefer a silver car.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car.
Now, We have there are 14 students out of 80 prefer silver car for their first car.
Hence, By using proportion, we get;
⇒ 14/80 = x / 1000
⇒ 14 × 1000 / 80 = x
⇒ x = 175
Thus, There are 175 students out of the 1,000 would you expect to prefer a silver car.
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Answer:
175
( ̄︶ ̄)↗
Step-by-step explanation:
Claire and Richard are both artists. Claire uses the polynomial 50x^2+250 to decide how much to charge.Richard uses the polynomial 49x^2+350 to charge how much to charge for his painting.In each polynomial x is the height of the paintings feet. To the nearest tenth what height will both Claire and Richard charge for the same amount for a painting?
Answer:
The height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.
Step-by-step explanation:
The polynomial expression representing the charge for Claire's paintings is:
C = 50x² + 250
The polynomial expression representing the charge for Richard's paintings is:
R = 49x² + 350
Here x represents the height of the paintings feet.
Now compute the value of x such that both Claire and Richard charge the same amount as follows:
C = R
50x² + 250 = 49x² + 350
50x² - 49x² = 350 - 250
x² = 100
x = 100
Thus, the height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.
Suppose p(A|B) = 0.7, P(A|BC) = 0.3, and p(A) = 0.5- What is p(B) (write it up to first decimal place)?_____
p(B) = 0.5 up to the first decimal place.
We can use Bayes' theorem to find p(B) given the conditional probabilities provided:
\(p(A|B) = 0.7, p(A|BC) = 0.3, and p(A) = 0.5\)
First, we can use the law of total probability to find p(A|B) and p(A|BC):
\(p(A) = p(A|B)p(B) + p(A|BC)p(B^c)\)
where \(B^c\) denotes the complement of B, i.e., not B. Substituting the given values, we get:
\(0.5 = 0.7p(B) + 0.3p(B^c)\)
We can rearrange this equation to solve for p(B):
\(0.2 = 0.4p(B) - 0.3p(B^c)\\0.5 = p(B) + p(B^c)\)
Substituting \(p(B^c) = 1 - p(B)\), we get:
\(0.5 = p(B) + (1 - p(B))\)
Solving for p(B), we get:
\(p(B) = 0.5 - p(B^c) = 0.5 - (1 - p(B)) = 2p(B) - 0.5\\0.5 = p(B)\)
Therefore, p(B) = 0.5 up to the first decimal place.
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Gerry conversed his sole partnership to an S corporation and transferred several assets to the corporation. The assets cost $19,570 and had an adjusted basis of $9,600. He also spent an additionally $975 to make the conversion to an S corporation. What is his beginning basis in the S corporation?
Gerry's beginning basis in the S corporation is $20,545.
To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.
The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.
The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.
To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.
In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.
Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.
This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.
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a brother and sister sold magazine subscriptions for a school fundraiser. the sister sold 5 fewer than twice the number of subscriptions her brother sold. they sold a total of 52 subscriptions.
how many subscriptions did the brother and sister each sell?
What critical value of t* should be used for a 95% confidence interval for the population mean based on a random sample of 21 observations? Find the t-table here. t* = 1.721 t* = 1.725 t* = 2.080 t* = 2.086
For a random sample of \(21\) observations, the critical value of \(\(t^*\)\) for a \(95\%\) confidence interval is \(\(t^* = 2.080\)\).
To find the critical value of \(\(t^*\)\) for a \(95\%\) confidence interval with a sample size of 21, we need to consult the t-distribution table. The t-distribution is used when the population standard deviation is unknown, and the degrees of freedom for this scenario is \(\(n-1\), where \(n\)\) is the sample size.For a 95% confidence level, we want to find the value of \(\(t^*\)\) such that the area under the t-distribution curve from \(-\(t^*\) to \(t^*\)\) is \(0.95\). Since we have 21 observations, the degrees of freedom is \(\(21-1 = 20\)\).Using the t-distribution table, the critical value of \(\(t^*\)\) for a \(95\%\) confidence interval and 20 degrees of freedom is approximately \(2.080\). This means that if we calculate the confidence interval using the sample mean and the margin of error, \(95\%\) of the time the true population mean will fall within that interval.Therefore, for a random sample of 21 observations, the critical value of \((t^*\ )\) for a \(95\%\) confidence interval is \(\(t^* = 2.080\)\).
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Jack is 14 years old. In 2032 to Jack will be twice his age. What year is it
Answer:
2018 I believe.
Step-by-step explanation:
He'll be two times his age in 2032 which is 28 years old. Subtract 28 from 2032 and you get 2018.
Answer:
2018
Step-by-step explanation:
in 2032 he will be 28 years old because he is 2 times older than 14, 2032-14=2018, because 14 years have passed since he was 14
a common everyday counting unit that is used to mean 12 of an object is a____
A common everyday counting unit that is used to mean 12 of an object is a Dozen
Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.
Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."
Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.
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Given that XY is a line segment with the angle a = 48° and c = 59°, work out the value of the angle marked b.
The diagram is not drawn to scale.
Answer:
a+b+c = 180
48+59+b=180
107+b=180
b=180-107
b=73
Answer: b equals to 73 Degrees
Step-by-step explanation:
The figure shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x-axis values are from negative 30 to positive 30 in increments of 6 for each grid line. The y-axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 24, negative 4, and 0, 0, and 24, 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to 12, 2 labeled as A, one leg is from 0, 0 to 12,0 and the second leg is from 12,0 to 12, 2. Another shaded right triangle is formed with the hypotenuse from 12, 2 and 18, 3 labeled as B, one leg is from 12, 2 to 18, 2 and the second leg is from 18, 2 to 18, 3.
Which statement about the slope of the line is true? (1 point)
Group of answer choices
It is 6 throughout the line.
The slope from point O to point A is fraction 1 over 6 times the slope of the line from point A to point B.
It is fraction 1 over 6 throughout the line.
The slope from point O to point A is six times the slope of the line from point A to point B.
hope this helps
The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 20 to positive 20 in increments of 4 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 16, 4, and 0, 0, and 16, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 8, 2 labeled as A, one leg is from 0, 0 to negative 8, 0, and the second leg is from negative 8, 0 to negative 8, 2. Another shaded right triangle is formed with the hypotenuse from negative 8, 2 to negative 12, 3 labeled as B, one leg is from negative 8, 2 to negative 12, 2, and the second leg is from negative 12, 2 to negative 12, 3.
Which statement about the slope of the line is true?
The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.
The slope from point O to point A is 4 times the slope of the line from point A to point B.
It is fraction negative 1 over 4 throughout the line.
It is −4 throughout the line
Assume we have two events, A and B, that are mutually exclusive. Assume further we know P(A) = .30 and P(B) = .40.
What is P(A ⋂ B)?
What is P(A | B)?
Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.
P(A ∩ B) = 0, since the events are mutually exclusive.
P(A | B) = 0, since the probability of A given B is 0 when A and B are mutually exclusive.
Since A and B are mutually exclusive, they cannot both occur at the same time. This means that the probability of them both happening at the same time is 0. As a result, P(A ∩ B) = 0.
Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.
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A fair die is rolled 12 times. Consider the following three possible outcomes:
(i) 2 2 2 2 2 2 2 2 2 2 2 2
(ii) 1 1 2 2 3 3 4 4 5 5 6 6
(iii) 4 6 2 1 3 5 2 6 4 3 1 5
Which of the following is true?
A It is absolutely impossible to get sequence (i).
B (ii) is more likely than (i).
C (iii) is more likely than (i) or (ii).
D The three outcomes are equally likely.
E Both (B) and (C) are true.
To determine which outcome is more likely, we need to consider the probability of each outcome occurring.
(i) The sequence (2 2 2 2 2 2 2 2 2 2 2 2) consists only of the number 2. Since each roll of the fair die has 6 possible outcomes (numbers 1 to 6), the probability of getting a sequence consisting only of 2s is (1/6)^12, which is extremely low but not absolutely impossible.
(ii) The sequence (1 1 2 2 3 3 4 4 5 5 6 6) consists of two of each number from 1 to 6. There are 12!/(2!2!2!2!2!2!) possible arrangements of these numbers, which is much larger than the probability of getting sequence (i).
(iii) The sequence (4 6 2 1 3 5 2 6 4 3 1 5) is a random arrangement of the numbers 1 to 6. Similarly to (ii), there are 12!/(2!2!2!2!2!2!) possible arrangements.
Based on these considerations, we can conclude that (ii) and (iii) are both more likely to occur than (i). Therefore, the correct answer is option E: Both (B) and (C) are true.