100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
\(x = \dfrac{9}{2}=4.5\)
Perimeter = 52
Step-by-step explanation:
A tangent is a straight line that touches a circle at only one point.
The given diagram shows a circle with three points of tangency: S, T and U.
According to the Two-Tangent Theorem, if two tangents to a circle meet at one exterior point, the tangent segments are congruent.
The exterior points are P, Q and R. Therefore, the congruent segments are:
\(\overline{PS} = \overline{PT} = 9\)
\(\overline{QT} = \overline{QU} = 4\)
\(\overline{RS} = \overline{RU} = 13\)
To find the value of x, use the equation PS = PT:
\(\overline{PS} = \overline{PT}\)
\(2x = 9\)
\(x = \dfrac{9}{2}=4.5\)
To calculate the perimeter of triangle PQR, sum the tangent segments.
\(\begin{aligned}\textsf{Perimeter}&=\overline{PS}+\overline{PT}+\overline{QT}+\overline{QU}+\overline{RS}+\overline{RU}\\&=9+9+4+4+13+13\\&=52\end{aligned}\)
Therefore, the perimeter of triangle PQR is 52 units.
Related Questions
After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
Answers
Given the graph of a proportional relationship, if the (2,7) lies on the graph, what is the value of k? What is the equation of the line?
Answers
Answer:
k=3.5, and y=3.5x is the equation of the line
Step-by-step explanation:
y and x are proportional means that y = kx for some constant k.
Thus, when y=7 and x=2, we have that 7 = k * 2, so that k = 7/2 = 3.5,
and the equation of the line is y = 3.5x
WILL MARK BRAINLIEST PLEASE HELP!!!!!!!!! Find the value of the expression: 2c2+3 for c=–11; 0; 15
Answers
Answer:
c = -11
expression value = 245
c = 0
expression value = 3
c = 15
expression value = 453
Step-by-step explanation:
Given expression = \(2c^2 + 3\)
for c = -11 , we put c in place of c in given expression
\(2(-11)^2 + 3 = 2(121) + 3 = 242 + 3 = 245\)
for c= 0
\(2(0)^2 + 3 = 2(0) + 3 = 0 + 3 = 3\)
for c = 15
\(2(15)^2 + 3 = 2(225) + 3 = 450 + 3 = 453\)
How many values does the expression 6+ (7 + 3)² have? Write down the values.
Answers
Answer:
3
Step-by-step explanation:
6
7
3
The values are the number that compose the expression
what is paleontology
Answers
Answer:
Paleontology is the study of the history of life on Earth as based on fossils.
Answer:
Paleontology, also spelled palaeontology or palæontology, is the scientific study of life that existed prior to, and sometimes including, the start of the Holocene epoch. It includes the study of fossils to classify organisms and study their interactions with each other and their environments.
Or it is the scientific study of life of the geologic past that involves the analysis of plant and animal fossils, including those of microscopic size, preserved in rocks.
Find the quotient: 5/8 divided by 3.
Answers
Answer:
5/24
Step-by-step explanation:
Instead of dividing 5/8 by 3/1, you could multiply by the reciprocal to get the same answer.
5/8 · 1/3
Hope that helps!
A. f(x) = 2|2| is differentiable overf
X
B. g(x) = 2 + || is differentiable over
-f
Answers
Recall the definition of absolute value:
• If x ≥ 0, then |x| = x
• If x < 0, then |x| = -x
(a) Splitting up f(x) = x |x| into similar cases, you have
• f(x) = x ² if x ≥ 0
• f(x) = -x ² if x < 0
Differentiating f, you get
• f '(x) = 2x if x > 0 (note the strict inequality now)
• f '(x) = -2x if x < 0
To get the derivative at x = 0, notice that f '(x) approaches 0 from either side, so f '(x) = 0 if x = 0.
The derivative exists on its entire domain, so f(x) is differentiable everywhere, i.e. over the interval (-∞, ∞).
(b) Similarly splitting up g(x) = x + |x| gives
• g(x) = 2x if x ≥ 0
• g(x) = 0 if x < 0
Differentiating gives
• g'(x) = 2 if x > 0
• g'(x) = 0 if x < 0
but this time the limits of g'(x) as x approaches 0 from either side do not match (the limit from the left is 0 while the limit from the right is 2), so g(x) is differentiable everywhere except x = 0, i.e. over the interval (-∞, 0) ∪ (0, ∞).
64° 42 °
xº
48°
Find the value of x
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Discuss measures that can be taken to develop the spirit of hard work
Write a coordinate rule for the composition
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The coordinate rule for the composition is (x,y) → (y/4, -x/4).
What is coordinate plane rule?
Rules for the coordinate plane are as follows: (x, y) → (x ± h, y ± k) , where h and k are the horizontal and vertical shifts. Recall that h is negative if movement is to the left. K is negative if movement is down.
The coordinate of the vertices of △LMN are L(4,8), M(8, 8), and N(16, 4).
The coordinate of the vertices of △QRS are Q(2,-1), R(2, -2), and S(1, -4).
Assume that the vertices of △LMN is represented by (x, y).
Then the vertices of △QRS can get by (y/4, -x/4).
The coordinate rule for the composition is (x, y) → (y/4, -x/4).
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Three train cars can carry 66 cargo boxes. What is the greatest number of cargo boxes that can be carried by 44 train cars?
Answers
Answer:
968 cargo boxes
Step-by-step explanation:
66/3 = 22
22 cargo boxes for each train car
22 * 44 = 968 cargo boxes total
Poppy gets semi-monthly paycheck of $2,375. What is her annual income?
Answers
Answer:
57,000
Step-by-step explanation:
(2375*2)*12
not sure what semi monthly is but i assume it’s 2 times every month, times 12 months in a year, boom
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each graph with the correct cosine function based on its period.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (1.5, 0), (3, minus 1), (5, 0), (6.5, 1), (7.5, 0), It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (3, 0), (6, minus 1), (9.5, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (0.5, 0), (1, minus 1), (1.5, 1), (2, 0), (2.5, minus 1), (3, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 at (minus 1, 0) and goes through (0, 1), (1, 0), (3, 1), (4, 0), and (4.5, minus 1) and curve follows the same pattern on X-axis.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (6, 0), and (12, minus 1). It follows the same pattern.
y=cos x/2 arrowRight
y=cos x arrowRight
y=cos x/4 arrowRight
y=cos x/4arrowRight
Answers
The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)
Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:
Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.
Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.
Graph 4: (Not used)
Graph 5: (Not used)
Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.
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Need help with 5 and 6 first one to answer gets brainliest
Answers
Answer:
5) 1
6) 131
Step-by-step explanation:
5)
f(1) = -1 - 8 = -9
-9 + 10 = 1
6)
g(-9) = \(9^{2}\) + 8(9) - 15 = 138
138 - 7 = 131
Answer:
Step-by-step explanation:
5.
f(x) = -x -8
substitute x with 1 in the equation of f(x)
f(1) +10 = -1 -8 +10 = -9 +10 = 1
6.
g(x)= x²+8x -15
g(-9) -7 = (-9)²+8(-9) -15 -7 = 81 -72 -22 = 81 - 94 = -13
This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Answers
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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Help asap 6th grade math
Answers
Answer:
I believe the answer is D.
\(\huge\boxed{Answer\hookleftarrow}\)
D
\(\huge\boxed{Explanation\hookleftarrow}\)
Mark as Brainliest
How many grams are equal to 3,418 milligrams? Use the placement of the decimal point when dividing by a power of 10 to help you.
34.18 grams
34,180 grams
3.418 grams
314.8 grams
Answers
Answer:
3.418
Step-by-step explanation:
A gram is 1/1000 of a gram so if we move the decimal point over 3 places you get 3.418.
please answer asap please
A piano mover uses a ramp to move a piano into a house. The doorway to the house is 2 feet above the ground and the ramp starts 7 feet from the doorway. Assuming the ground is level and is perpendicular to the side of the house, what is the approximate length of ramp? You must round your answer to two decimal places.
Answers
3/4 x 5 In decimal form
Answers
Answer:
3/4x5=?
Step-by-step explanation:
Three quarters times five in decimal form is a really simple problem we will first start with the 3/4x5, as we know 3/4 is equivalent to 0.75 so we already have it in decimal form and we would then multiply, 0.75x5=3.75.
In conclusion 3/4x5 in decimal form is 3.75
Answer:
give brainiest and ill answer all ur questions correctly
Step-by-step explanation:
4. G.CO.10 In the figure below, p ll q. What is the value of x? *
O A. 7
B. 68
C. 59
OD. 44
136
121
Answers
The measure of the angle x is 77 degrees if two lines are parallel to each other or p ll q option (A) is correct.
What is a perpendicular line?Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two lines that are parallel to each other or p ll q
The angle made by transversal t is 136 degrees
The measure of the other angle = 180 - 136 = 44 degrees
Draw a line parallel to p and q and passes through the intersection point of line t and v
The angle made by the transversal and the line drawn is the same as 44 degrees.
The measure of the other angle = 121 - 44 = 77 degrees
Thus, the measure of the angle x is 77 degrees if two lines are parallel to each other or p ll q option (A) is correct.
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15 points help with math pls
Answers
Answer:
b or c i think
Step-by-step explanation:
not for sure just a guess
What is the answer to
288/12x3+7
Answers
Answer: answer is 79.
Step-by-step explanation:
Whirly Corporation’s contribution format income statement for the most recent month is shown below:
Total Per Unit
Sales (8,700 units) $ 287,100 $ 33.00
Variable expenses 165,300 19.00
Contribution margin 121,800 $ 14.00
Fixed expenses 55,600
Net operating income $ 66,200
Required:
(Consider each case independently):
1. What would be the revised net operating income per month if the sales volume increases by 40 units?
2. What would be the revised net operating income per month if the sales volume decreases by 40 units?
3. What would be the revised net operating income per month if the sales volume is 7,700 units?
Last month when Holiday Creations, Incorporated, sold 37,000 units, total sales were $148,000, total variable expenses were $115,440, and fixed expenses were $35,800.
Required:
1. What is the company’s contribution margin (CM) ratio?
2. What is the estimated change in the company’s net operating income if it can increase sales volume by 500 units and total sales by $2,000? (Do not round intermediate calculations.)
Answers
1. Revised Net Operating Income = $66,760
2. Revised Net Operating Income =$64,640
3. Revised Net Operating Income =$52,
1. If the sales volume increases by 40 units:
So, New Sales = 8,700 units + 40 units = 8,740 units
and, New Contribution Margin =
= $14.00 x 8,740 units
= 122, 360
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 122360 - 55600
= 66,760.
2. If the sales volume decreases by 40 units:
New Sales = 8,700 units - 40 units = 8,660 units
New Contribution Margin
= 14 x 8660
= 121,240
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 65,640
3. If the sales volume is 7,700 units:
New Sales = 7,700 units
New Contribution Margin
= 14 x 7700
= 107,800
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 52, 200
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A regional highway uses 8 tollbooths that are open to all vehicles. A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to determine whether the tollbooths are all used in equal proportions. A chi-square value of χ2=19.1 was calculated with a corresponding p-value of 0.008. Which of the following is correct?
A. There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.
B. There is insufficient evidence to suggest that the tollbooths are used in equal proportions.
C. There is sufficient evidence to suggest that the tollbooths are not used in equal proportions.
D. There is sufficient evidence to suggest that the tollbooths are used in equal proportions.
E. The tollbooths are used in equal proportions.
Answers
Answer:
C) There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
Step-by-step explanation:
First of all, we have to understand that this is a question asking to draw a conclusion from the chi-square GOF (goodness of fit) test information that was given in the problem text.
From there, we use the usual sentence format, and in this case, we use the sentence format for when the p-value is less than α:
Since the p-value (0.008) is less than the alpha value (0.05), we reject the null hypothesis (\(H_0\)). There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
To elaborate, we get this answer by knowing that since the p-value is so low, the chance of getting a test statistic that extreme (too low or too high depending on the context) is significantly unlikely.
The correct option regarding the significance level is C. There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
How to explain the significance level?In this question, we simply have to deduce a conclusion from the chi-square test information that was given.
In this case, the p-value (0.008) is simply less than the alpha value (0.05), therefore, we will reject the null hypothesis.
This implies that there is sufficient evidence to suggest that the toll booths are not used in equal proportions.
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If f(x)= 3x – 3 and g(x) = -x +4, then f(2)-9(-2)=
Answers
I might not be correct. I tried my best
In two or more complete sentences, explain how to use ordered pairs of points in and to determine if and are inverses of each other.
Answers
For any point (x, y), that DOESN'T appear in one function, the point (y, x) must NOT appear in the other function.
So if you find any point that DOESN'T meet the above rules, you can prove that the functions are NOT inverses of each other.
But if you want to prove that they ARE inverses of each other, you have to check ALL points in the functions, and there are infinity of them, so that's not practical. Instead, you can write f(x) like this:
y = 3x - 5
Now solve for x:
y + 5 = 3x
x = (y + 5) / 3
Now swap x and y:
y = (x + 5) / 3
This is the same as g(x). Therefore the functions are inverses of each other. oh
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 600.
Answers
The mean for the number of people with the genetic mutation in such groups of 600 is 18.
Given that,
About 3% of the population has a particular genetic mutation.
This means that for any group of people, 3% of the people has a particular genetic mutation.
This is a binomial distribution.
Probability that people having genetic mutation = 3% = 0.03
Random sample size = 600
Mean for a binomial distribution can be calculated as,
Mean = n × p
= 600 × 0.03
= 18
Hence the mean number of people having genetic mutation is 18.
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Sara hiked down a mountain for 3 hours. Each hour, her elevation decreased by 60 meters. Compute
her change in elevation in meters relative to her starting point.
Answers
Answer:
180m
Step-by-step explanation:
If her elevation decreases by 60 m every hour, then after 3 hours her elevation will decrease by...
3*60m=180m
At that velocity voyager 1 would have traveled 547,500,000 kilometers in a year. Whats that in scientific notation ?
Answers
Answer: 5.475 x 10^8
Step-by-step explanation: The number has to be in between 1 and 10 so you move your decimal as many times as you need to. In this situation it is 8, so that is your power
find the solution to the system of equations y=1/2x +1 y=-x+1
Answers
Answer:
x=0, y=1
Step-by-step explanation:
Given that (9,-1) is on the graph of f(x) , find the corresponding point of the function f(x)+5
Answers
Answer:
(9, 4).
Step-by-step explanation:
To find the corresponding point of the function f(x)+5 when (9,-1) is on the graph of f(x), we simply add 5 to the y-coordinate of the point.
If (9,-1) is on the graph of f(x), then the corresponding point on the graph of f(x)+5 would be (9, -1+5), which simplifies to (9, 4).
Therefore, the corresponding point of the function f(x)+5 is (9, 4).