Answers
1/3
Step-by-step explanation:
I used the points (0,2) and (-6,0). I hope this helps!
Related Questions
Porter drove due east 20 miles on Interstate 23, then due south 23 miles on Interstate 77. To the nearest hundredth of a mile, how far was he from his starting point?
A. 30.48 mi
B. 26 mi
C. 11.36 mi
D. 43 mi
Answers
Answer: D. 30.48 miles
Step-by-step explanation:
You basically use Pythagorean Theorem!
a2 + b2 = c2
Square root 20^2 +23^2
=√20^2 + 23^2
=20 x 2 + 23 x 2
= 929
And round it=
30.48 miles.
Could y’all PLEASE HELP
Answers
Answer:
should be complementary angles
Write an equation of the line, with a slope of -3 and y- intercept of 9, in slope-intercept form
Answers
Answer:
JLKACQSCVWMNDV
Step-by-step explanation:
QSQW VMBW DVNWD VMW V
Answer:y = -3x +9
Step-by-step explanation:
What is 15/15+3(6+35)
Answers
Let's simplify the fraction given above:
\(\begin{gathered} \frac{15}{15}+3(6+35)=1+3(41) \\ =1+123 \\ =124 \end{gathered}\)Therefore the result is 124
If the area of a square inscribed in a circle is
25, what is the area of the circle?
Answers
The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.
To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.
When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.
We are given that the area of the square is 25, so we can find the side length of the square:
Area of square = \(s^2 = 25\)
Taking the square root of both sides, we get:
s = √25 = 5
Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:
Diagonal = Diameter = s√2 = 5√2
The radius of the circle is half the diameter, so:
Radius = 5√2 / 2 = (5√2)/2
Now, we can calculate the area of the circle using the formula:
Area of circle = \(\pi r^2\)
Substituting the value of the radius, we get:
Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2
Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.
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360 runners are in a race. 20% are men. how many men are in the race?
Answers
Number of men = percentage of men x total number of runners
We are given that 20% of the runners are men, so the percentage of men is 0.2. The total number of runners is 360.
Number of men = 0.2 x 360
Number of men = 72
Therefore, there are 72 men in the race.
A small college has 1200 students and 80 professors. The college is planning to increase enrollment to 1450 students next year. How many new professors should be hired to keep the ratio of students to professors the same
Answers
The number of new professors needed to hire to keep the ratio of students and professors the same is 16.66 professors.
Given,
A small college has 1200 students and 80 professors.
The college is planning to increase enrollment to 1450 students next year.
We need to find how many new professors should be hired to keep the
ratio of students to professors the same.
What is meant by proportion?If the two ratios are the same then we called it that they are in proportion.
Example:
4/6 = 10/15
2/3 = 2/3
Find the ratio between the students and professors before the increase in enrollment.
= Number of students / Number of professors
= 1200 / 80
Dividing by 8
= 150 / 10
= 15 / 1
This means one professor for 15 students.
Find the number of students after the increase in enrollment.
= 1450
Find the number of new students enrolled.
= 1450 - 1200
= 250
Since the ratio between the students and professor is 15 students for one professor.
For 250 new students, the number of new professors we need is:
= 250 ÷ 15
= 16.66
This means we need around 16.66 new professors.
Thus the number of new professors needed to hire to keep the ratio of students and professors the same is 16.66 professors.
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Use the image to answer the question. A vertical number line starting at negative 10 on the bottom of the line with tick marks every one unit up to positive 10 at the top. The point negative 4.5 is labeled. What does the absolute value of the point labeled in the image mean if the number line represents temperature change? There was no change in temperature. The temperature equals 4.5 degrees. The temperature decreased 4.5 degrees. The temperature increased 4.5 degrees. HURRY UP
Answers
Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.
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What is the approximate area of the shaded region in the given square containing 2 semicircles? (Use * 3.14.) 10 cm 0 21.5 square centimeters O 50 square centimeters O 78.5 square centimeters O 100 square centimeters
Answers
Answer:
yes
Step-by-step explanation:
bcuz
Answer:
Subtract the circle from the square
Step-by-step explanation:
(10× 10) - 25pi
Evaluate 2^x+5 when x=4
Answers
Answer:
=21
Step-by-step explanation:
2^4 equals 16, add 5 and its 21
2x2x2x2
\/
4x2x2
\/
8x2=16
Step-by-step explanation:
f(x) = 2^x + 5 OR f(x) = 2^(x + 5)?
f(x) = 2^x + 5 , x = 4
f(4) = 2⁴ + 5
= 16 + 5
= 21
f(x) = 2^(x + 5) , x = 4
f(4) = 2^(4 + 5)
= 2⁹
= 512
A ruptured pipe of an offshore oil platform spills oil in a circular pattern whose radius increases at a constant rate of 4 ft/sec. How fast is the area of the spill increasing when the radius of the spillis 100 ft?
A) 4007 ft?
B) 8007
C) 1007
D) 2007 l
Answers
please help with this
Answers
Answer:
x^2 +8x+12
Step-by-step explanation:
The area of the blue is
x*x = x^2
The area of the pink is
x*6 = 6x
The area of the green is
x*2 = 2x
The area of the orange is 2*6 =12
Add them together
x^2 + 6x+2x +12
Combine like terms
x^2 +8x+12
What is the slope of the line that contains these points?
x 39 40 41 42
y 36 29 22 15
Answers
Answer: -7
Step-by-step explanation:
Use this formula for finding the slope:
Δy/Δx=y1-y2/x1-x2
Now get 2 points, (39, 36); (40, 29)
36-29/39-40= 7/-1= -7
So the slop is -7
Hope this helps!
Find the square root of 1681
Answers
Answer: The square root of 1681 is 41.
Answer:
41
Step-by-step explanation:
It is 41
41 * 41 = 1681
41 ^ 2 = 1681
Annmarie spends1of her paycheck on rent,2on food, andon utilities. What fractional part of her paycheck does she have left for other expenses?Annmarie has of her paycheck left for other expenses.(Simplify your answer. Type an integer or a fraction.)
Answers
Annmarie spends= 1/2 rent
Annmarie spends= 1/5 food
Annmarie spends= 1/8 utilities
\(\frac{1}{2}+\frac{1}{5}+\frac{1}{8}=\frac{33}{40}\)she spends 33/40 in those 3 expenses
\(\frac{40}{40}-\frac{33}{40}=\frac{7}{40}\)she have have left for other expenses 7/40
93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
Answers
why mathematics is the very important in a small business? is mathematics is helpful to you? explain
Answers
Answer:
Mathematics is very important in a small business is because when you make money transactions with other people you need to know how to count money correctly and your calculations can’t be wrong. When we sign up for jobs like police, or firefighter, we need to use math. Math helps us solve real-world problems.
Step-by-step explanation:
Is there enough information to prove the triangles congruent? If yes, write which pistulate can be used and write a congruence statement for the triangle. If no, write not enough information.
Answers
The Congruency Postulates for each of the given triangle are:
1) SAS Congruency
2) AAS Congruency
3) HL Congruency
4) Not enough Information
5) AAS Congruency
How to Identify Congruent Triangles?
There are different congruency postulates such as;
SSS: Side Side Side Congruency
SAS: Side Angle Side Congruency
ASA: Angle Side Angle Congruency
AAS: Angle Angle Side Congruency
HL: Hypotenuse Leg Congruency
1) We are given two triangles with two congruent sides and the included angle and as such it is congruent by SAS Congruency Postulate.
2) We are given two congruent angles and the included side and as such they are congruent by AAS Congruency Postulate.
3) We are given the hypotenuse and leg as congruent and as such we can say that they are congruent by HL Congruency Postulate.
4) We are given two congruent sides and the non-included angle and as such they are not congruent by any congruency postulate.
5) We are given two congruent angles and the non-included side and as such they are congruent by AAS Congruency Postulate.
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Find the value of x. Round your answer to the nearest tenth.
Answers
Geometry question. Please help fast.
Answers
The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.
We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.
So, both the 1st and 4th points translate and reflect down the triangle A'B'C' which will be mapped according to the triangle ABC.
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Solve the following for θ, in radians, where 0≤θ<2π.
−7cos2(θ)+4cos(θ)+6=0
Select all that apply:
1.07
3.96
0.31
2.32
1.68
2.43
Answers
Answer:correct answers are 3.96
2.32
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
-7u^2 + 4u + 6 = 0
Now we can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = -7, b = 4, and c = 6. Substituting these values, we get:
u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)
u = (-4 ± sqrt(136)) / (-14)
u = (2 ± sqrt(34)) / 7
Therefore, either:
cos(θ) = (2 + sqrt(34)) / 7
or:
cos(θ) = (2 - sqrt(34)) / 7
Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:
θ = arccos((2 + sqrt(34)) / 7)
θ = arccos((2 - sqrt(34)) / 7)
Using a calculator, we find:
Back when he was 23, Curly had the option of putting money each month into two different retirement accounts-if he chose Moe's Mo' Money account he would deposit $300 per month and receive 6% APR. If he chose Larry's Lazydays account, he would only deposit $280 per month and get 6.1% APR.
Whichever he chooses, Curly will continue to do this until you retires (some 45 years later). Write a quantitative sentence comparing the two amounts Curly would have when he retires. Round to the nearest dollar..
Answers
Formula: FV = P * ((1 + r/n)^(n*t))
Just to let you know:
FV is the future value of the account
P is the monthly payment
r is the annual interest rate
n is the number of times interest is compounded per year
t is the number of years
For Moe’s Mo’ Money account:
FV = 300 * ((1 + 0.06/12)^(12*45)) = $1,081,383.16
For Larry’s Lazydays account:
FV = 280 * ((1 + 0.061/12)^(12*45)) = $1,071,383.16
So yeah, the difference is 10,000.
I know this is complicated to read, I’m sorry, I just wanted to include the calculations!!
The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer 28 62 90
Mobile device 46 64 110
Column totals 74 126 200
PLEASE What is the joint relative frequency of students who use a mobile device in an online class?
64%
55%
32%
23%
Answers
The joint relative frequency of students who use a mobile device in an online class is approximately 32%.
The joint relative frequency of students who use a mobile device in an online class, we need to divide the frequency of the intersection of the "Mobile device" and "Online" categories by the total number of students (200 in this case) and express it as a percentage.
From the given two-way frequency table, we can see that the frequency for the intersection of "Mobile device" and "Online" is 64.
The joint relative frequency can be calculated as:
Joint Relative Frequency = (Frequency of intersection / Total number of students) × 100
Joint Relative Frequency = (64 / 200) × 100
Joint Relative Frequency ≈ 32%
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what is the value of 2/3 rs if r= -6/7 and s= --3/10
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(r = - \frac{6}{7} \\ \)
\(s = - \frac{3}{10} \\ \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\( \frac{2}{3} rs = \frac{2}{3} \times ( - \frac{6}{7} ) \times ( - \frac{3}{10} ) = \\ \)
\( \frac{3 \times 2 \times 3 \times 2}{3 \times 7 \times 5 \times 2} = \frac{2 \times 3}{7 \times 5} = \frac{6}{35} \\ \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
If hari buys 20biscuits for Rs 200 and sells it for Rs 100 find the loss
Answers
Answer:
hdvbn
Step-by-step explanation:
nfshvjjnmmnjjmbm
And sells 20 biscuits for 100 (1 biscuit for 5)
The loss is 100
It is a rule of thumb that each person occupies 4.5 square feet - that is the unit rate of people per square foot is.4 people/sq ft. Busby
Berkley is putting on an extravaganza in which he will have 250 dancing, singing chorus girls.
Mr Berkley looks outside the theater and sees that the street is filled with people waiting to see his show. The size of the area is approximately 100 feet
by 50 feet. How many people are waiting to see the show?
A. 1,111
B. 5,111
C. 1,120
D. 111
Answers
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete the table to show the distance traveled in 1 minute at this speed
Answers
Answer:
4 miles in 1 min
Step-by-step explanation:
Which expression is equivalent to "9 more than the quotient of x and 5
Answers
The required expression is (x / 5) + 9
Given that we have to build an equation for the statement "9 more than the quotient of x and 5,
So,
This expression represents the quotient of x divided by 5, and then adding 9 to the result.
Therefore,
"9 more than the quotient of x and 5" can be written mathematically as:
(x / 5) + 9
Hence the required expression is (x / 5) + 9
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Housing prices in a small town are normally distributed with a mean of
131,000 and a standard deviation of 8,000
. Use the empirical rule to complete the following statement.
Answers
About 95% of the housing Prices are between (µ - 2σ) and (µ + 2σ).About 99.7% of the housing prices are between (µ - 3σ) and (µ + 3σ)
Given that housing prices in a small town are normally distributed with a mean of µ. We are to use the empirical rule to complete the following statement.
The empirical rule states that in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% of the data falls within two standard deviations of the mean,
and approximately 99.7% of the data falls within three standard deviations of the mean.Since we do not have information about the standard deviation of the housing prices,
we cannot provide exact values for the empirical rule. However, we can make some general statements:
About 68% of the housing prices are between (µ - σ) and (µ + σ).
About 95% of the housing prices are between (µ - 2σ) and (µ + 2σ).About 99.7% of the housing prices are between (µ - 3σ) and (µ + 3σ)
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15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answers
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
13.3cm
Step-by-step explanation:
The Pythagorean theorem is a^2+ b^2 = c^2
Plug the values into the equation.
7^2+ b^2 = 15^2
Simplify.
49 ÷ b^2 = 225
Subtract 49 from both sides.
b^2 = 176
Take the square root of both sides.
vb^2 = v176
b=13.266
b=13.3cm