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inna [77]
1 year ago
15

Select the correct answer.What is the area of the shaded portion of the figure? Express your answer in terms of pi.О А.OB.O C.O

D.AF56k5657π72845722445112EAE = 4 cmBAB= 6 cm

Mathematics
1 answer:
Marizza181 [45]1 year ago
3 0

Given the figure of two circles with the same center A

We will find the area of the shaded portion

The area of the shaded portion = the difference between the area of the sectors opposite the central angle of 112

The area of the sector opposite the angle θ =

\frac{\theta}{360}*\pi r^2

The radius of the larger circle = AB = 6 cm

The radius of the smaller circle = AE = 4 cm

So, the area of the shaded portion =

\begin{gathered} \frac{\theta}{360}*\pi *(AB^2-AE^2) \\  \\ =\frac{112}{360}*\pi *(6^2-4^2) \\  \\ =\frac{112}{360}*\pi *(36-16)=\frac{112*20}{360}\pi=\frac{56}{9}\pi \end{gathered}

So, the answer will be option A. 56/9 π

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Tina__________ 4 by_____________ to get 16 and 9 by____________ to get 81. She should have multiplied each term by__________ num
andrew11 [14]

Answer:

multiplied 4

9 the same

Step-by-step explanation:

Tina multiplied 4 by 4 to get 16, and 9 by 9 to get 81. she should have multiplied each term by the same number.

7 0
2 years ago
The sum of Rhonda and her daughter Tenica’s age is 64. The difference in their ages is 28. How old is each person?
iragen [17]

Answer:

The mother (Rhoda) is 46 years old.

The daughter (Tenica) is 18 years old

Step-by-step explanation:

Let the age of the mother (Rhoda) be m

Let the age of the daughter (Tenica) be d.

The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:

m + d = 64 ... (1)

The difference in their ages is 28. This can be written as:

m – d = 28 ... (2)

From the above illustrations, the equation obtained are:

m + d = 64 ... (1)

m – d = 28 ... (2)

Solving by elimination method:

Add equation 1 and 2 together

. m + d = 64

+ m – d = 28

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2m = 92

Divide both side by 2

m = 92/2

m = 46

Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1

m + d = 64

m = 46

46 + d = 64

Collect like terms

d = 64 – 46

d = 18

Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.

3 0
2 years ago
Please help me with this question
Alenkasestr [34]

Answer:

\sqrt{8 + y}

3 0
2 years ago
What is the measure of AB in O below?
8_murik_8 [283]

Answer:

The measure of an arc is equal to the angle opposite it

Therefore the answer is C. 100°

Hope this helps!

8 0
3 years ago
Find the area of the isosceles triangle. please help thanks
fiasKO [112]

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2                      Substitute for b^2 = h^2

24^2 + h^2 = 51^2                   Expand 24^2 and 51^2

576 + h^2 = 2601                    Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025                              Take the square root of both sides

h = 45

Area

Area = 1/2 b * h

Area = 1/2 48 * 45

Area = 1080

Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

5 0
3 years ago
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