Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
10
6
Can somebody please help me

Find The Area Of The Figure Below, Composed Of A Rectangle And A Semicircle. Round Tothe Nearest Tenths

Answers

Answer 1

Answer:

Area = 74.1 square units

Step-by-step explanation:

Area of the composite figure = Area of the rectangle + Area of the semicircle

Area o the rectangle = Length × Width

                                   = 10 × 6

                                   = 60 square units

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Here, r = radius of the semicircle

For the semicircle with radius = [tex]\frac{6}{2}[/tex] = 3 units

Area = [tex]\frac{1}{2}\pi (3)^{2}[/tex]

        = 4.5π

        = 14.14 units²

Total area of the composite figure = 60 + 14.14

                                                          = 74.14 square units                                                                                              ≈ 74.1 square units      


Related Questions

What kind of angels are 1 and 2 ?

Answers

Angles 1 and 2 are supplementary angles
Supplementary angles

The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in

Answers

Answer:

height be 4 in

length be 9 in

ANd, the width be 7 in

Step-by-step explanation:

Let us assume the height of the box be x

So the length would be 2x + 1

And, the width be x + 3

As we know that

The volume of the rectangular box = length × width × height

252 = (2x + 1) × (x + 3) × (x)

252 = (2x^2 + x) × (x + 3)

252 = 2x^3 + 6x^2 + x^2 + 3x

2x^3 + 7x^2 + 3x = 252

2x^3 + 7x^2 + 3x - 252 = 0

after solving this

x = 4

So height be 4 in

length be 9 in

ANd, the width be 7 in

ques 1 : x + 1 3/8 = 2 1/4

ques 2 : 13.27 = t - 24.45

ques 3 : 9 = 3/8 × y

please answer them due date today thx

Answers

Answer:   1. 29/8

                2. 37.72

                3. 24

Step-by-step explanation:

1. x + 1 3/8 = 2 1/4

              x = 21/4 - 13/8

              x = 42/8 - 13/8           [set the denominator equal]

              x = 29/8

2. 13.27 = t - 24.45

Rewrite the function as t - 24.45 = 13.27

                                                   t  = 13.27 + 24.45

                                                   t  = 37.72              

3.  9 = 3/8 × y

Rewrite as 3/8 x y = 9

                            y = 9/ (3/8)

                            y = 9 x (8/3)

                            y = 24

 

You have 50 cups. 10 cups are blue, 20 cups are red, and 20 cups are white. What percentage of cops are blue?

Answers

Answer:

10% or 5%

Step-by-step explanation:

Use a ratio box to solve this problem. The road was steep.
Every 100 yards the elevation increased 36 feet. How many
feet did the elevation increase in 1500 yards?
36

Answers

Answer:

540 feet

Step-by-step explanation:

[tex]\frac{36}{100} = \frac{x}{1500}[/tex]  Cross multipy

100x = 54000

54000/100 = 540

x = 540

Can someone please help

Answers

Answer:

6^7

Step-by-step explanation:

6^8 x 6^-1

6^{8-1}

6^7

PLZ HELP NO WRONG ANSWERS

Answers

Answer :

to find area of the square = 6 to the power 2

to find the area of the rectangle = (5x + 12) * 5x

therefore,

square's area = 36

rectangle's area = 5x*5x + 12 * 5x

= 25x * 60x

Now we have to find the sum of both the areas,

so, 36 + 1500 = 1536

Step-by-step explanation:

look I know my answer is wrong but I just wanted points! thnx for the free points! :)))))))))

NANRI! VANAKKAM!

Can a trangle have lengths of 1 , 1 and 6

Answers

Answer: No it can't

You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.

Hope this helped you!

No it cannot have a length of 1,1,6

Three ways to solve systems of equations ?

Answers

substitution, elimination, and graphing.
i know one is graphing:)

The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area to 4 decimal places.

Answers

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:

[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)

[tex]s = 2\pi\cdot r[/tex] (2)

Where [tex]r[/tex] is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]

[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:

[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]

[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)

Where:

[tex]s[/tex] - Measure circumference, in centimeters.

[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.

If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:

[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Help me

Rearrange this equation that "0" is the subject.

Answers

B would most likely be the answer

Need help 2w+43,if w=9

Answers

Answer:

61

Step-by-step explanation:

2w + 43 = ?, w = 9

Substitute w: 2(9) + 43 = ?Multiply: 18 + 43 = ?Add: 18 + 43 = 61

Stan swam 100 meters in 2 minutes. At this rate, how many meters would he swim in 20 minutes?​

Answers

Answer:

2,000 meters

Step-by-step explanation:

I multiplied 100 by 20.

Hope this helped

each minute, they swim 50 m.

20*50 = 1000

1000 meters

Please help me with this

Answers

The answer to your problem is z=11

Please help me ASAP I’ll mark Brainly

Answers

Answer:

0.85

Step-by-step explanation:

3.4 / 4 = 0.85

Hope that helps!

A, B and C are points on a circle with diameter AB.
ABC is a right-angled triangle.
Calculate the area of the circle.
Give your answer correct to 3 significant figures. *

Answers

Answer:

area is approximately 36.56

Step-by-step explanation:

solve the system of equations
y=-3/2x+9
2x+2y=16

Answers

Answer:

x=2 and y=6

Step-by-step explanation:

1.5 x 10 to the power of 11

Answers

it would be 150,000,000,000

Answer:

150000000000

Step-by-step explanation:

1.5x10¹¹

= 150000000000

You can think about scientific notations by moving the position of the 'dot' 11 times to the right

The measure of an angle is 89º. Find the measure of its supplement
A) 91 degrees
B) 81 degrees
C) 90 degrees
D) 80 degrees

Answers

I believe it’s 80 degrees

Answer:

The is A) 91

Step-by-step explanation:

Does anyone know how to do this?

Answers

Answer: 53

Step-by-step explanation:

Hope this helps!

please help me please i really need help please

Answers

Answer:

d metamorphosis

Step-by-step explanation:

Please help me click the picture to see

Answers

0.25x+97
Factoring:
Convert 0.25 to a fraction:
1/4x+97
Factor out 1/4:
Solution:
1/4(x+388) or 0.25(x+388)

The table shows the pricing for four different types of apples.

Which type costs the least per kilogram?


A $4 for 1.5 kg
B $5 for 2.0 kg
C $7 for 2.5 kg
D $8 for 3.5 kg

Answers

The answer is A :) I just took the test

What is the difference between 50 and -50?

Answers

Answer:

100

Hope this helps! Have a nice life! ✌

What day and time will it be 85 hr 33 min after Friday 12:11 am?

Answers

Answer:

Enter date and time information at "From:"

Select a month and a day. Enter a year.

The year entered must be a positive number. Not zero (0).

Enter hours and minutes. Select am or pm.

The hours entered must be a positive number between 1 and 12 or zero (0).

The minutes entered must be a positive number between 1 and 59 or zero (0).

Add or Subtract Line

Enter number of days, hours and minutes

Select "add" or "subtract"

If you type "ghblxz", in the year box the computer will print "0"

If you type "1.9e2", the computer will use "190" to calculate the answer.

If you select "February 31", the computer will print "Not a Day"

Click "Click to Calculate" button. The calculated date and time will appear.

NaN = not a number

To clear the entry boxes click "Reset

simplify the following expression
(x+y)²​

Answers

Answer:

[tex] {x}^{2} + 2xy + {y}^{2} [/tex]

Step-by-step explanation:

1) Use square sum: (a + b)² = a² + 2ab + b².

[tex] {x}^{2} + 2xy + y^{2} [/tex]

Therefor, the answer is x² + 2xy + y².

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution

Answers

The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?

"It is a triangle having one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."

For given question,

We need to write a function that models the relationships among x, y, and r.

Consider a right triangle ABC.

where AB = x, BC = y and hypotenuse AC = r

Using Pythagoras theorem,

[tex]x^{2} + y^{2} =r^{2}[/tex]

above function defines the relationships among x, y, and r.

Now we solve above equation for 'r',

[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]

Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

Look below!

Step-by-step explanation:

1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)

150 feet.

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)

Pythagorean theorem—>a^2+b^2=c^2

a and b are the legs, while c is the hypotenuse.

x^2+y^2=r^2

Take the root of both sides

r=√x^2+y^2

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.5 months. When this computer-relay microchip malfunctions, the entire satellite is useless. A large London insurance company is going to insure the satellite for 50 million dollars. Assume that the only part of the satellite in question is the microchip. All other components will work indefinitely.
A. For how many months should the satellite be insured to be 94% confident that it will last beyond the insurance date?
B. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends?
C. If the satellite is insured for 84 months, what is the expected loss to the insurance company?
D. If the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make?

Answers

Answer:

a) The insurance should be of 84.6 months, that is, approximately 85 months.

b) 0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.

c) The expected loss to the insurance company is of 2.18 million.

d) The company should expect to make a profit of $689,200.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.5 months.

This means that [tex]\mu = 90, \sigma = 3.5[/tex]

A. For how many months should the satellite be insured to be 94% confident that it will last beyond the insurance date?

The 100 - 94 = 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.555 = \frac{X - 90}{3.5}[/tex]

[tex]X - 90 = -1.555*3.5[/tex]

[tex]X = 84.6[/tex]

The insurance should be of 84.6 months, that is, approximately 85 months.

B. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends?

This is the pvalue of Z when X = 84. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z= \frac{84 - 90}{3.5}[/tex]

[tex]Z = -1.71[/tex]

[tex]Z = -1.71[/tex] has a pvalue of 0.0436

0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.

C. If the satellite is insured for 84 months, what is the expected loss to the insurance company?

0.0436 probability of losing 50 million. So

0.0436*50 = 2.18

The expected loss to the insurance company is of 2.18 million.

D. If the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make?

1 - 0.0436 = 0.9564 probability of making 3 million.

0.0436 probability of losing 50 million

So

[tex]E = 0.9564*3 - 0.0436*50 = 0.6892[/tex]

The company should expect to make a profit of 0.6892 million, that is, $689,200.

Howdy!

I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.

If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.

Anyways, please show all of your work and explain your thinking! Thanks!

Answers

Answer:

Right square pyramid

Volume:

V = 1/3a²h = 1/3*3²√(4² - (3/2)²) = 11.1 ft³

Surface area:

A = a² + 2al = 3² + 2*3*4 = 33 ft²

Honestly have no clue how to solve this help :/

Answers

Answer:

it will be D i seen this before

Step-by-step explanation:

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