1. The outer circle has diameter 8 cm. The 2 smaller circles are identical. What is the total area of the shaded regions? Round your answer to two decimal places. ​

Answers

Answer 1

The total area of the shaded regions is approximately 25.12 square centimeters.

To find the total area of the shaded regions, we need to calculate the area of the outer circle and subtract the combined areas of the two smaller circles.

Area of the Outer Circle:

The outer circle has a diameter of 8 cm, which means the radius is half the diameter, i.e., 4 cm. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

Substituting the values, we get:

A_outer = π(4 cm)²

= π(16 cm²)

= 16π cm² (using π ≈ 3.14 for simplicity)

Area of the Smaller Circles:

Since the two smaller circles are identical, their combined area is twice the area of one smaller circle.

Let's denote the radius of the smaller circle as r_smaller. Since the outer circle has a diameter of 8 cm, the diameter of each smaller circle is half of that, i.e., 4 cm. Therefore, the radius of each smaller circle is 2 cm.

The area of one smaller circle can be calculated as:

A_smaller = π(2 cm)²

= π(4 cm²)

= 4π cm²

The combined area of the two smaller circles is:

A_combined = 2A_smaller

= 2(4π cm²)

= 8π cm²

Total Area of the Shaded Regions:

The total area of the shaded regions is obtained by subtracting the combined area of the two smaller circles from the area of the outer circle:

Total Area = A_outer - A_combined

= 16π cm² - 8π cm²

= 8π cm²

Rounding the answer to two decimal places, we have:

Total Area ≈ 25.12 cm²

Therefore, the total area of the shaded regions is approximately 25.12 square centimeters.

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Related Questions

A jewelry box has a volume of 14 cubic inches. The area is 7 square inches. What is the height of the jewelry box.

Answers

Answer:

2 inches

Step-by-step explanation:

a=Lw

v=lwh

lw= 7

14/7=2

what is the HCF ofusin prime factorization of 30 and 36​

Answers

Answer:

Step-by-step explanation:

Prime factorization

30 = 2 × 3 × 5

36 = 2² × 3²

HCF = 2 × 3 = 6

Determine whether the second polynomial is a factor of the first.
6x2 + 5x +54; x-4
Select the correct choice below and fill in the answer box to complete your choice.
O A. No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to
OB. Yes, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OC. No, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OD. Yes, because the polynomial 6x + 5x + 54 evaluated at 4 is equal to

Answers

Answer:

No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to 170.

Step-by-step explanation:

A polynomial should have a factor (let's say a) that would make the polynomial equal to zero when we substitute that factor (a) into the polynomial.

help pls ;;-;; ye thxs

Answers

Answer:

You still need help? :P

Step-by-step explanation:

An air conditioning repair company has a flat
service fee and charges an hourly rate. One
customer pays $180 for two hours of work.
Another pays $230 for three hours of work.
Write a linear function for this situation. Use h
For the number of hours.
C(h) =

Answers

Answer:

Step-by-step explanation:

30 POINT !!!! NEED IT ASAP

Answers

first, split the area up, start finding the area of the rectangle first.
area of the rectangle: 25-10=15 so 32 times 15 is the area. area=480
area of trapezoidal areas (2 of them): the area of a trapezoid is equal to base+base/2(h) so to find the lengths of the bases you subtract 32-14=18 then divide by 2 to get 9 for the length of one base. the length of the other is 5. plug into equation to get 5+9=14/2=7(h). the height is 10 so 7 times 10 is 70. multiply by 2 since there are 2 identical trapezoids. area of both=140
add both areas (480+140=620). multiply 620 by 4.90 to get $3038. no there is not enough, it is over by $38.

A cat leaps from the ground into the air with an initial vertical velocity of 11 ft/s. After how many seconds does the cat land on the ground?

Answers

Answer:

11/16 of a second

Step-by-step explanation:

helpppp meeee plz...

Answers

Answer:

3 coefficient po

Step-by-step explanation:

sana maka tulong

At the market you can buy six bags of apples for $25 at the archer you can get eight bags of Apple for $35 which is the better deal

Answers

Answer:

$25

Step-by-step explanation:

$ 25 the correct answer

The square of an add number is

Answers

The power of is what it’s called

Linda is making a mosaic stepping stone to place in
her garden. The stone is shown below. How much
mosaic glass tile will Linda need to cover the surface
of five stepping stones? Use 3.14 for pie.

Help please lol

Answers

Answer:

D 565.2 in

Step-by-step explanation:

First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.

Which number sentence is true? A. –38.44 6.2 = 6.2 B. –38.44 (6.2) = –6.2 C. –38.44 (–6.2) = –6.2 D. 38.44 6.2 = –6.2

Answers

Answer:

Option B:

[tex]-\frac{38.44}{6.2} = -6.2[/tex]

Step-by-step explanation:

Given

Options A to D

Required

Determine which is true

Option A:

[tex]-\frac{38.44}{6.2} = 6.2[/tex]

[tex]-6.2 = 6.2[/tex]

This is not true

Option B:

[tex]-\frac{38.44}{6.2} = -6.2[/tex]

[tex]-6.2 = -6.2[/tex]

This is true

There is no need to check further

The bill at the restaurant was $18.79 estimate the amount to leave as a $10 tip

A. $2.00
B. $3.00
C. $9.00
D. $21.00

Answers

It has to at least be 9.00 bc i got 8.79

iv) The number 211539 is divisible by​

Answers

Answer:

The answer would be the number 3

Answer:Answer:32+1+1+5+3+9=217×3=217×3=213×7=21

A salesperson at a jewelry store earns ​8% commission each week. Last​ week, Ali sold $450 worth of jewelry. How much did Ali make in​ commission? How much did the jewelry store make from her ​sales?

Answers

Answer:

she earned 36$ and the store earned 409.5

Step-by-step explana

8% of 450

91% of 450

7:5 is equivalent to...?​

Answers

Answer:

6:0

Step-by-step explanation:

Thank me later :)))))))))

Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?

Answers

Answer:

Yes

Step-by-step explanation:

The line has to be loner to connect the other two.

HELP I NEED HELP ASAP

Answers

Answer:

C) Linear

Step-by-step explanation:

To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.

Hope it helps!

Solve the system of equations 2x - 2y = - 14 and 2x + 6y = - 6 by combining the equations.

Answers

sorrryy I don't know how to delete this so...

Step-by-step explanation:

step 1. first combine by subtraction.

step 2. 0x -8x = -8

step 3. y = 1

step 4. x = -6.

step 5. the answer is (-6, 1).

workout the value of 2^0

Answers

Answer:

It just equals to 2

Step-by-step explanation:

Think of it as 2^1!

1.

The value of anything that has an exponent of 0 is always 1

Dn80 pipe 88millimeters is According to the plan All openings must be 40mm larger than the pipe. You know that

Answers

Answer:

128mm

Step-by-step explanation:

Given

[tex]Pipe = 88mm[/tex]

[tex]Ope\ nnings = 40mm\ larger[/tex]

Required

Determine the length of the openings of the pipe

To do this, we simply add 40mm to the length of the pipe.

This gives:

[tex]Ope\ nings = 88mm + 40mm[/tex]

[tex]Ope\ nings = 128mm[/tex]

Hence, the opening must be 128mm

y/-9=1/18 solve for y

Answers

Answer:

y=-1/2

Step-by-step explanation:

What is the value of x?​

Answers

x= 67°

hope that helps:)

g(n) = 4n h(n) = n2 + 3n Find g(h(n))

Answers

Answer:

g(h(n)) = 4n² + 12n

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFunction Notation

Algebra II

Composite Functions

Step-by-step explanation:

Step 1: Define

g(n) = 4n

h(n) = n² + 3n

g(h(n)) is n = h(n)

Step 2: Find

Substitute in function h(n) as n:                                                                       g(h(n)) = 4(n²+ 3n)[Distributive Property] Distribute 4:                                                               g(h(n)) = 4n² + 12n

Evaluate the expression when a=5 and b= -5.
-a +8b

Answers

We would just have to plug the numbers where the variables are.
- (5) + 8(-5)
-5 + -40
- 45 is your answer
-a + 8 b
-(5) + 8(-5)
-5 - 40
= -45

A carpenter has 6 feet of wood. How many inches of wood does the carpenter have?

Answers

Answer:

72 inches!

Step-by-step explanation:

since there are 12 inches in a foot, and there are 6 feet, you would multiply 6 x 12, so the answer would be 72 inches !!

i hope this helps ! ! :D

What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed

Answers

Answer:

9/2

Step-by-step explanation:

(3, -20) & (11, 16)

To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(16 - (-20)) / (11 - 3)

Simplify the parentheses.

= (36) / (8)

Simplify the fraction.

36/8

= 9/2

9/2 is the most simplified fraction. This is your slope.

Hope this helps!

Perimeter? =
Area? =

Answers

Answer:

Your answer is

Area  = 16.23

perimeter = 24

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

cupcakes and points for those who answer this question for me
(the screenshot)

Answers

Answer:

2.06

Step-by-step explanation:

The original decimal is 2.0625.

Since the thousandths place is 2, we can't round up. So we can keep the 6 which is in the hundredths place giving us 2.06

Chad has a rope that is 24 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?

Answers

Answer:

42

Step-by-step explanation:

Chad has a rope that is 24 meters long

He wants to divide the rope so each piece will be 4/7 yards

= 24÷ 4/7

= 24× 7/4

= 168/4

= 42

Hence he can divide the rope into 42 pieces

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