Find the area of each figure and round to the nearest tenth if necessary

Find The Area Of Each Figure And Round To The Nearest Tenth If Necessary

Answers

Answer 1

Given:

The figure of two semicircles with diameters 6 cm and 5 cm.

To find:

The area of the combined figure.

Solution:

It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.

Area of a semicircle is:

[tex]A=\dfrac{1}{2}\pi r^2[/tex]

So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:

[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]

[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]

[tex]Area=14.137167+9.817477[/tex]

[tex]Area=23.954644[/tex]

Round the value to the nearest tenth (one decimal place.

[tex]Area\approx 24.0[/tex]

Therefore, the area of given figure is 24.0 sq. cm.


Related Questions

How many real solutions will the graph of g(x) = 2x2 - 4x + 7 have?
F
O real solutions
G
1 real solution
H
2 real solutions
J
more than 2 real solutions

Answers

Answer: zero real solutions

Step-by-step explanation: constants from equation are a= 2 , b= -4 and c= 7.

Discriminant D= b^2 -4ac = (-4)^2 -4x2x7= 16 - 56 = -40 <0 so there's no solution

For equation g(x)= 0

Which of the following inequalities defines the graph below

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric, Find the surface area that will be covered in each color of fabric, Enter your answers in the boxes.​

Answers

Answer:

I am sorry I would love to help but I can't fiqure it out without the side length.

Step-by-step explanation:

btw i know its not your fault i dont  see the width

how to solve this? Is the question correct? ty :)

Answers

Answer:

The proposition is true.

Step-by-step explanation:

Now we proceed to demostrate that expression given is true by algebraic means:

1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given

2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex]   [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]

3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division

6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex]         [tex](x^{-1})^{-1}[/tex]

7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex]  Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property

10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result

What is the value of x in 7x-18

Answers

Answer:

x = 21

Step-by-step explanation:

Although the picture is a bit blurry towards the bottom, I believe the opposite exterior angle is 129°

Opposite exterior angles are equivalent by the opposite exterior angles postulate. Of course, this only applies if the transversed lines are parallel, which they are in this case, because of the small orange arrows.

Anyhow, the equation should be set up as follows:

[tex]129 = 7x-18\\129 + 18 = 7x - 18 +18\\147 = 7x\\21=x[/tex]

Have a nice day, fam. Spread The Love.

Which pictures below show pure substances?

Answers

The answers are A,B, and C

What is the area of this tile? 10 in 8 in. 6 in.​

Answers

Answer:

i think 24

Step-by-step explanation:

1/2 H x B

6 x 8 =48 1/2 is 24

The area of the tile is 24 square in.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The tile is in the shape of right triangle.

The sides of triangle are 10 in, 8 in, 6 in.

Here, Base of the triangle,b = 6 in

Height of the triangle,h = 8 in

The formula of area of triangle is

[tex]Area = \frac{1}{2}(base) (height)[/tex]

⇒ [tex]A=\frac{1}{2}(6)(8)[/tex]

⇒ [tex]A=24[/tex]

Hence we can conclude that the area of the tile is 24 square in.

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Find the new amount.

1. Increase 25 by 24%

2. Increase 120 by 75%

3. Decrease 35 by 60%

4. Decrease 72 by 65%

Answers

1.) 32.89
2.) 480
3.) 14
4.) 25.2

Hope this helps! Can I please have brainliest?

Please solve no need for explanation

Answers

Answer:

I am not sure

Step-by-step explanation:

But I think I know

Answer:

Step-by-step explanation:

n=0

w=3120

i=[tex]\sqrt 2[/tex]

q=[tex]\frac{-6}{7}[/tex]

r=5.123456...

Guys help me on this which is the correct answer:((

Answers

Answer:

A

Step-by-step explanation:

find x.

1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))

answer is D

remember to flip inequality sign when dividing by a negative

i’m bad at decimals help plz

Answers

Answer:

<

Step-by-step explanation:

Because 3 < 4

Answer:

its <

Step-by-step explanation:

60.3 is greater than 60.44

If you break it down kinda it would be 60.30 and 60.44 and 44 is greater than 30.

What is the length of side PQ in this figure?
5
P
R
6
3
O A. 4
OB. 14
O C. 52
OD. 161
Reset
Next

Answers

Answer:

c. 52

Step-by-step explanation:

since that triangle QRE is a right angle triangle

therefore QE = root 5²_3² = 4 cm " pythagorean "

since triangle PQE is a right angle triangle

therefore PQ= root 4²+6²= 2 root 13 = root 52

The length of side PQ in the figure given in the task content is; 6.48.

What is the length of side PQ?

We are required to determine the length of side PQ;

It follows from Pythagoras theorem that;

5² - 3² = (PQ)² - 6²

(PQ)² = 16 + 36

PQ = √42.

PQ = 6.48

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Which is the most accurate way to estimate 26% of 91?

A: 3/4 x 92
B: 1/4 x 92
C: 1/3 x 90
D: 1/2 x 90

Answers

Answer:

B

Step-by-step explanation:

26% is close to 25%, which is equal to 1/4th.

You're adding to the number and removing from the percentage so it balances it out.

The estimation of 26% of 91 is  1/4 x 92.

The correct option is (B).

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

26% of 91

Now solving the above Quantity

= 26 /100 x 91

Now, We take 1 from 26 make it 25 and add that 1 to 91 make 92.

Then, 25 / 100 x 92

= 1/4 x 92

Hence, the estimation is 1/4 x 952.

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Amy works 15 hours a week at the movie theater. She earns $8 an hour. What statement is true about her weekly income? A) Her net income is more than $120. B) Her gross income is less than $120. C) Her net income is less than $120. D) Her gross income is more than $120.

Answers

Answer: Her net income is less than $120.

Step-by-step explanation:

Based on the information given, the gross income for Amy will be:

= 15 × $8

= $120

Net income is the income that an individual has left after tax and every other necessary deductions have been removed. Therefore when this is done, the net income for Amy will be less than $120

Use the geometric mean to find the value of e

Answers

Answer:

suppose,

a=6

b=24

then we know that,

geometric mean (e)=_/ab

=_/6×24

=_/144

=_/(12)^2

=12 Ans

Answer:

12

Step-by-step explanation:

to find the altitude which is e,using geometric mean, you need to :

multiply the two values that are given, which is the value in between JM and the value in between mL

so 6*24 =144

then the square root of the result, which is 144, is the altitude which is e.

so 144 = 12

therefore e=12

I need help with this question ( see image). Please show workings.​

Answers

Answer:

14) (C) 8√2 km

15) (C) 225°

Exercise 15.17  (D) 8.7 km

Step-by-step explanation:

14)

d² = 8² + 8² = 64 + 64 = 128

d = √128 = 8√2 km

15) 180° + 45° = 225°

Exercise 15.17

QR² = 10² - 5² = 100 - 25 = 75

QR = √75 = 5√3 = 8.7 km

Answer:

Kofi, the building and the tree form an isosceles right triangle KTB.

Refer to picture

15.15

The distance KB is the hypotenuse and its length is:

KB = √8² + 8² = √64 + 64 = √128 = 8√2

Correct choice is C

15.16

The angles at vertices K and B equal to 45° as opposite sides are equal.

TB is a vertical line which makes angle 180°.

Add 45° to get a required bearing:

180°+ 45° = 225°

Correct choice is C

15.17

P, Q and R form a right triangle with PR as hypotenuse.

RQ is the missing leg and its length is:

RQ = √PR² - PQ² = √10² - 5² = √100-25 = √75 = 8.7 (rounded)

Correct choice is D

To the nearest inch, what is the area of a circle with a radius of 6 centimeters? EZ FREE POINTS

Answers

Answer:

36 pi    or   113.04 cm squared

Step-by-step explanation:

Answer:

A≈113.1cm²

Step-by-step explanation:

What is 92 - (12 + 16) ÷ 4? I keep re-doing my math for it, but when I check it with a calculator I'm always wrong.

Answers

Answer:

85

Step-by-step explanation:

92 - (12 + 16) ÷ 4

PEMDAS states we do the equation in the paranthesis 1st

92 - (28) ÷ 4

PEMDAS states we do division next

92 - 7

85

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Answers

I don’t know what you mean by hurry? What do you mean by hurry?

Please I need help!! Please anyone that sees this could you please help me. I don't understand it.

Answers

9514 1404 393

Answer:

  M = (0, 0), which IS the origin

Step-by-step explanation:

The midpoint is given by the formula ...

  M = (A + B)/2

  M = ((4, -6) +(-4, 6))/2 = (4-4, -6+6)/2 = (0, 0)/2

  M = (0, 0) . . . . . IS the origin

A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Carla to completely fill the tank without it overflowing? Round your answer to the nearest minute.

Answers

Area = 10(pi)(16) = 160pi cubic feet
160pi = 502.56
502.56/8 = 63 minutes

The time it will take for Jane to completely fill the tank without overflowing would be 62.8 minutes.

Used the concept of the volume of the cylinder:

The volume of the cylinder can be determined using the formula,

[tex]V = \pi r^2h[/tex]

Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

Since, the volume of the cylinder:

[tex]V = \pi r^2h[/tex]

Substituting the values, we have;

[tex]V = 3.14 \times 4^2 \times 10[/tex]

[tex]V = 502.4 \tex{ feet^3 }[/tex]

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

[tex]\text{Time} = \dfrac{\text{Volume}}{\text{Rate of filling}}[/tex]

Substituting the values, we have;

[tex]\text{Time} = \dfrac{\text{502.4}}{\text{8}}[/tex]

[tex]\text{Time} = 62.8[/tex]

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.

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The diagram shows the dimensions of a diving pool 16 ft 25 ft 20 ft so what's the volume of the dividing pool?

A. 61 cubic feet
B. 320 cubic feet
C. 500 cubic feet
D. 1440 cubic feet
E. 8000 cubic feet


PLS HELP ​

Answers

Answer:

8000 cubic feet

Step-by-step explanation:

Volume of the pool = Length * Width * height

Given

Length =16ft

Width = 25ft

Height = 20ft

Substituting into the formula

Volume = 16 * 25 * 20

Volume of the pool = 8000 cubic feet

Find the area and thank

Answers

Answer:

6 meters

Step-by-step explanation:

This is a right triangle (indicated by the little square in the corner), so it's like half a square. Formula for a right triangle's area is [tex](base*height)[/tex] ÷ 2. So in this situation:

[tex](3*4)=12[/tex] ÷ [tex]2 = 6[/tex]

Step-by-step explanation:

0.5×base×height

Area =1/2×4×3=6

Use this picture to name one pair of VERTICAL angles

Answers

Answer:

YOU LAIR HOW COULD YOU

Step-by-step explanation:

Answer:

1 and 6

Step-by-step explanation:

At least pet snake is 42 inches long and Royals pet snake is 8 feet long.How many inches longer is Royals snake

Answers

Answer:

54 inches

Step-by-step explanation:

At least pet snake is 42 inches long and Royals pet snake is 8 feet long.How many inches longer is Royals snake

Step 1

We would be converting the length of the Royal's pet snake to inches

1 foot = 12 inches

8 feet = x

Cross Multiply

x = 8 × 12 inches

x = 96 inches

Step 2

How many inches longer is Royal's snake?

This is calculated by subtracting the length of the Royal's pet snake from the least length

= 96 inches - 42 inches

= 54 inches

Therefore, the Royal's snake is 54 inches longer

Solve the compound inequality and give your answer in interval notation

4x-4 < -36 OR -2x-1 ≤ -7

Answers

Answer:

(-∞, -8) U [3, ∞)

Step-by-step explanation:

4x - 4 < -36   OR -2x -1 ≤ -7

4x < -32         OR  -2x ≤ -6

 x < -8            OR     x ≥ 3    *divide by a negative, switch inequality

      (-∞, -8) U [3, ∞)  

   

Lisa is planning to paint her house over the weekend. She paints 1/3 of a room in an hour. How many rooms will she paint in 6 hours? Solve fraction

Answers

Answer:

2

Step-by-step explanation:

Lisa paints 1/3 of the room in an hour

Therefore the number of rooms she will paint in 6 hours can be calculated as follows

1 hour= 1/3

6 hours= x

Cross multiply

x= 1/3 ×6

= 2

Hence 2 rooms can be painted in 6 hours

prime factorization of 154​

Answers

Answer:

The prime factors of 154 are 2, 7, 11.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]154 = 2 \times 7 \times 11[/tex]

COME ON LASTTT ONESSSSSSSSSSSSSSS

Answers

Answer:

Answer

Correct option is

D

all of the above

For any two rational numbers a and b,  

(a+b),(a−b),(b−a) & (a×b) are all rational numbers.

Thus, rational numbers are closed under addition, subtraction and multiplication.(for the first one)

Answer:

The sum of x and y is a rational number

Step-by-step explanation:

X+Y or 5+7=12

A rational number is any number that can be divided without going on and on forever. ( for the 2nd one)

what is the slope of this line

Answers

Answer:

y=-4

Step-by-step explanation:

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