find the area of each shaded sector. round to the nearest tenth.

Find The Area Of Each Shaded Sector. Round To The Nearest Tenth.

Answers

Answer 1

Answer:

a.

Step-by-step explanation:

the area of a whole circle (360°) is

pi×r²

in our case

pi×10² = 100pi

but here we don't need the full circle. we only need a fraction of the whole circle : 128/360

so, the area of the sector is

100pi × 128/360 = 100pi × 16/45 = 20pi × 16/9 =

= 111.7010721... cm² ≈ 111.7 cm²


Related Questions

You decide that you will only sell two different types of frozen treats in your
ice-cream cart. You use the following criteria to help you make your decision:
• You will purchase 550 frozen treats for your cart.
• You have a budget of $450.
• Your goal is to make a profit of at least $700.
Which two frozen treats will you sell in your ice-cream cart, and how many of
each treat will you purchase? Show that your combination of frozen treats
meets the criteria.

Answers

Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.

What is Purchase decision?

This is know to be the thought method or act that helps a consumer to identify a need, gather options, and choosing a given product and brand.

Note that Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.

If I am to purchase 550 frozen treats, I will buy:

Ice cream bar fruit  = 300

Frozen bar fruit = 250

Therefore,  for  Ice cream bar fruit , it will be = amount x cost price

300 x  0.85 = 255

For Frozen bar fruit = 250 x  0.50

= 125

Add up the total cost= 255 + 125

Total amount spent will be= 380

Therefore we can see that the total price spent falls within the budget allocated and so I will choose both  Ice cream bar fruit and frozen bar fruit.

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Write a probability model for this experiment , and use the probability model to predict how many times Stacey would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places

Answers

The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.

[tex]\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}[/tex]

From the binomial random variable of n trials with a probability of success of p.

We will have, n = 50, p = 1/6

Number of times Stacey would spin a 6 = 8.33

Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

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This is for AP CALCULUS. I really need help on this. I’m trying to find the first and second derivative of these three functions.

Answers

Review Material:

[tex]\sqrt[n]{x^m} = x^{\frac{m}{n}}[/tex]

[tex]\frac{d}{dx}[x^n]=nx^{n-1}\\[/tex]

[tex]\frac{d}{dx}[\sin(x)]=\cos(x)\\[/tex]

 [tex]\frac{d}{dx}[\cos(x)]=-\sin(x)\\[/tex]

[tex]\frac{d}{dx}[constant]=0\\[/tex]

Step-by-step explanation:

(a)

[tex]F(x) = -2\cos(x) +x^{\frac{4}{3}} -3e\\ \text{Note: 3e is a constant}\\F'(x) = 2\sin(x) + \frac{4}{3}x^{\frac{1}{3}}\\F''(x) = 2\cos(x) + \frac{4}{9}x^{-\frac{2}{3}}[/tex]

(b)

[tex]F(x) = x^{-3} + \frac{1}{2}x^2-\sin(x)\\F'(x)=-3x^{-4} + x - \cos(x)\\F''(x) = 12x^{-5} + 1 + \sin(x)[/tex]

(c)

[tex]F(x) = 2x^{-3}+x^{\frac{3}{4}}-4x\\F'(x) = -6x^{-4} + \frac{3}{4}x^{-\frac{1}{4}}-4\\F''(x)= 24x^{-5} - \frac{3}{16}x^{-\frac{5}{4}}[/tex]

Which graph represents f of x equals square root of the quantity x plus 3 end quantity minus 2?

The graph shows a curve with an end point at 2 comma 3 that increasing to the right
The graph shows a curve with an end point at 3 comma 2 that increasing to the right
The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right
The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right

Answers

The obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis. None of the option is correct.

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The given equation of the function is;

[tex]y = -(x+2)^{1/3}+5[/tex]

Hence,the obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis.

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Answer:

The function f(x) = sqrt(x - 2) + 3 represents a square root function that is shifted 2 units to the right and 3 units up from the parent function f(x) = sqrt(x).

The endpoint of the function occurs when the radicand (x - 2) is equal to zero, which means x = 2. So, the function has an endpoint at (2, 3).

Since the function involves a square root, the value of y cannot be negative. Therefore, the function is increasing to the right.

The correct graph that represents the function f(x) = sqrt(x - 2) + 3 is the one that shows a curve with an endpoint at (2, 3) that increases to the right.

Therefore, the answer is: The graph shows a curve with an endpoint at 2 comma 3 that increases to the right. A.

Question 4 (Essay Worth 10 points)
(04.05 MC)
The graph represents the journey of a bus from the bus stop to different locations:
Bus Journey
Distance
(miles)
Time (hours)
Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
5

Answers

1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing. And the graph is non-linear.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph represents the journey of a bus from the bus stop to different locations:

Complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey.

1 and 3 show that the bus is going to the last station, 2 and 4 show the holding time of the bus at a station, and 5 shows that the bus is returning.

1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing.

The graph is non-linear.

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Please Help its a math problem amber has done 3 projects this year in Social Studies and wants a mean project grade of 92. Her first three project grades are 92, 93 and 89. What does she need to make on the fourth project to meet her goal?

Question 5 options:

94


90


95


92

Answers

Answer:

a) 94

Step-by-step explanation:

92 + 93 + 89 + 94 = 368/4= 92

Answer:

94

explanation:

because common sense

hlp!
options:
A. [tex]x\leq -5[/tex]
B. [tex]x\geq -5[/tex]
C.[tex]x\geq 2[/tex]
D.[tex]x=4[/tex]

Answers

Answer:

Option B

x ≥ (-5)

Step-by-step explanation:

Given;-3(x + 4) ≥ x + 8

So,

-3(x + 4) ≥ x + 8

-3x – 12 ≥ x + 8

Add both sides 12 we get,

-3x – 12 + 12 ≥ x + 8 + 12

-3x ≥ x + 20

Similarly, subtract x from both sides we get,

-3x – x ≥ x – x + 20

-4x ≥ 20

Then, divide both sides by (-4) we get,

-4x/(-4) ≥ 20/(-4)

x -5

Thus, The answer is x (-5).

If the hypotenuse of the triangle below is 8√2, what is the leg?

Answers

Answer:

8

Step-by-step explanation:

The side lengths of this special right triangle is as follows:

The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]

and

the side length that sees angle measures 45 (the legs) is represented with x

hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case

x = 8

Find the volume of this triangular prism. Be sure to include the correct unit in your answer. 7m 5m 9m? Thank u!!​

Answers

since the formula is BH, and the base is a triangle, the area of the triangle is 17.5 then, we multiply this by the lateral height, which is 9. the volume is 157.7 m^3

what is 4x^2 -40-120 is equivalent to

Answers

Answer:

Step-by-step explanation:

4x^2-40-120

4x^2-160

4x^2=160

x^2=40

sqrt40=6.32

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)? x 2 x – 2 x – 8 x 8

Answers

The quotient of the given expression is x-2. The correct option is the second option-  x – 2

Simplification of fractions

From the question, we are to determine the quotient

The given expression is

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex]

The numerator can be expressed as

[tex](x-2)(x^{2} +5x+6)[/tex]

Then, the fraction becomes

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex] = [tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6}[/tex]

Simplifying

[tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6} = x-2[/tex]

Hence, the quotient of the given expression is x-2. The correct option is the second option-  x – 2

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Here is the complete and correct question:

What is the quotient of (x cubed + 3 x squared minus 4 x minus 12') divided by (x squared + 5 x + 6)? x + 2 x – 2 x – 8 x + 8

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Write the word sentence as an equation. Then solve.

The product of 15 and a number x is −75

Answers

The answer for your questions is -5

please help w this question!!!

Answers

Answer:

  72

Step-by-step explanation:

The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.

  QR = QT

  3p = p +48 . . . . . . substitute the given measure expressions

  2p = 48 . . . . . . . subtract p

  p = 24 . . . . . . . divide by 2

  QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT

  QT = 72

José tiene una tabla de: (x² -4x + 4) cm de largo y (x+4) cm de ancho ¿Cuál es el área de la tabla?

Answers

Answer:

x³ - 12x + 16

Step-by-step explanation:

(x² -4x + 4) × (x+4) =

= x³ + 4x² - 4x² - 16x + 4x + 16

= x³ - 12x + 16

If ' x - 1/x = 4, then x² + 1/x² =​

Answers

Answer:

82/9

Step-by-step explanation:

x - 1/x = 4

x - 1 = 4x

-1 = 3x

- 1/3 = x

from there just substitute in x for x² + 1/x² to get:

82/9 or 9.1 recurring

The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion correctly shows how to solve for the volume of the smaller solid, x? = = = =

Answers

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

How to get the volume of the smaller solid?

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

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Answer: Its C

Step-by-step explanation: Just did it

What does each line on the protractor stand for?

Answers

Answer:

There are two sets of degrees going in opposite directions along an arc. The top of the arc shows degrees from 0º to 180º from left to right. The bottom of the arc shows degrees from 180º to 0º from left to right. The smallest "tick marks" along the edge of the protractor represent 1º intervals.

Step-by-step explanation:

hi how are you doing ????

Determine the next two terms in the arithmetic sequence.
5, 11, 17, 23,
The sequence is add 6 so the answer is 29 and 35

Answers

Answer:

Next two will be 41, 47

Step-by-step explanation:

5+6= 11

11+6= 17

17+6= 23

23+6= 29

29+6= 35

35+6= 41

41+6= 47

Answer:

29 and 39

Step-by-step explanation:

Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.

Answers

Answer:

New coordinates:

A'(-3, 3)

B'(4, -1)

C'(-2, 0)

Step-by-step explanation:

It tells you (x-3, y-4), which means you have to subtract 3 from every x coordinate, and 4 from every y coordinate.

Hope this helps <3

Answer:

See below ~

Step-by-step explanation:

New coordinates

A' = (0 - 3, 7 - 4) = (-3, 3)B' = (7 - 3, 3 - 4) = (4, -1)C' = (1 - 3, 4 - 4) = (-2, 0)

Simone travels 90 miles at an average speed of 40 mph.
She then travels a further 30 miles.
The average speed for the entire journey is 43 mph.
Assuming Simone didn't stop, what was her average speed for the final 30 miles to 2 dp?

Answers

Using the relation between velocity, distance and time, it is found that her average speed for the final 30 miles is of 55.56 mph.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Simone travels 90 miles at an average speed of 40 mph, hence the time is given by:

[tex]t_1 = \frac{90}{40} = 2.25[/tex]

She then travels a further 30 miles, with an average speed for the journey of 43 mph. Hence, she traveled 90 + 30 = 120 miles, and the total time is given by:

[tex]t = \frac{120}{43} = 2.79[/tex]

Hence, in the second part, she traveled 30 miles in 2.79 - 2.25 = 0.54 hours, so the velocity is given by:

[tex]v = \frac{d}{t} = \frac{30}{0.54} = 55.56[/tex]

Her average speed for the final 30 miles is of 55.56 mph.

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2. Every morning, Desiree walks around her pool to get some morning exercise. She doesn't remember
the width of the pool, but she knows that the length of the pool is three less than twice the width.
Her father tells her that when he built the border of the pool, it had a perimeter of 48 feet. What is
the width of the pool?

Answers

Let the width of the pool be x
Total length of the pool—2(x+3)
Total width of the pool—2(x)
Perimeter—2(x+3)+2x=48
2x+6+2x=48
6x=42
x=7
Width of the pool is 7 feet.
x=

Solve 12x + 6>9x+ 12.
Ο Α. x>6
Ο Β. x<2
Ο C. X>2
O D. X<6

Answers

Answer:

x>2

Step-by-step explanation:

-Subtract 6 from both sides

-Simplify

-Subtract 9x from both sides

-Simplify

-Divide both sides by 3

-Simplify

If an interval estimate is said to be constructed at the 90% confidence level, the confidence coefficient would be _____.

Answers

Using the z-distribution, the confidence coefficient for the 90% confidence interval is of 1.645.

What is the critical value for a 90% confidence interval?

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.95[/tex], and the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

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which expression is equivalent to 2^2 x 2/24
a. 2^-2
b.2^-1
c.2^6
d.2^7

Answers

Answer:

none

Step-by-step explanation:

which expression is equivalent to 2^2 x 2/24

a. 2^-2

b.2^-1

c.2^6

d.2^7

2^2 * 2/24 =

4 * 2/24 =

4 * 1/12 =

1/3

then

1/3 = 0.33

find equivalent

a) 2^-2 = 0.25

b) 2^-1 = 0.5

c) 2^6 = 64

d) 2^7 = 128

Which of the following expressions is true?

2^4•2^4>2^7

3^2•3^6=3^7

4^3•4^5<4^8

5^2•5^3=5^6​

Answers

Answer:

2^4•2^4>2^7

Step-by-step explanation:

Hope it helps you in your learning process.

How do I answer this?

Answers

Answer:

I dontknow what ur question is but I think u just have to measure the length of 50 ° on ur protector use a compass

POINTS!!! Answer both 3 and 4 PLEASE

Answers

Answer:

yes not function because 1 is repeated

Number 3 is a function because for every INPUT there is has only one output.
Number 4 isn’t a function because the input 1 has two values as the output therefore it isn’t a function.

A cylindrical well has a radius of 6 feet and a height of 12 feet. How many cubic feet of water will it take to fill the well?
Assume that π = 3.14 and round to the nearest tenth when necessary.

Answers

maybe 1375 cubic feet of water will take to fill the well

Write the equation of the line that passes through the points (7,-6) and (-6,2).

Answers

Answer:

Here is the ans...hope it helps

Please answer quickly ​

Answers

[tex]\dfrac{4+3\sqrt 5}{4-3\sqrt 5}\\\\\\=\dfrac{\left(4+3\sqrt 5 \right)\left(4+3\sqrt 5 \right)}{\left(4-3\sqrt 5 \right)\left(4+3\sqrt 5 \right)} \\\\\\=\dfrac{\left(4+3\sqrt 5 \right)^2}{4^2 - \left( 3 \sqrt 5 \right)^2}\\\\\\=\dfrac{4^2 + 2\cdot 4 \cdot 3\sqrt 5 + \left( 3\sqrt 5 \right)^2}{16-9\cdot 5}\\\\\\=\dfrac{16+24\sqrt 5 + 45}{16-45}\\\\\\=\dfrac{61+24\sqrt5}{-29}\\\\\\=-\dfrac{61}{29}-\dfrac{24}{29}\sqrt 5\\\\\\=-\left(\dfrac{61}{29}\right) + \left(- \dfrac{24}{29} \right) \sqrt 5[/tex]

[tex]\text{It is now in a form of}~ a+b\sqrt 5~, \text{where}\\ \\a=-\dfrac{61}{29}~~ \text{and}~~ b =- \dfrac{24}{29}[/tex]

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