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lions [1.4K]
3 years ago
12

Find the area of the shaded region. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Ket [755]3 years ago
7 0
Find the area of the large circle, and subtract the areas of the three smaller circles.

Large circle: diameter = 22 cm; radius = 11 cm

A = pi r^2 = pi * (11 cm)^2 = 121pi cm^2

Circle with 7 cm radius:

A = pi r^2 = pi * (7 cm)^2 = 49pi cm^2

Two small circles:
The largest circle has diameter = 22 cm.
The next larger circle has radius = 7 cm, so diameter = 14 cm
22 cm - 14 cm = 8 cm
The two smallest circles have a sum of diameters = 8 cm
Each smallest diameter = 4 cm, so each smallest radius = 2 cm
A = pi r^2 = pi * (2 cm)^2 = 4pi cm^2 (for each of the smallest circles)

Shaded area = 121pi cm^2 - 49pi cm^2 - 4pi cm^2 - 4 pi cm^2

Shaded area = 64pi cm^2 = 64 * 3.14159... cm^2 = 201.0619... cm^2

Answer: The shaded area is 201.1 cm^2
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The variable Z is directly proportional to X. When X is 12, Z has the value 228. What is the value of Z when X = 18
Kisachek [45]
Here, z = kx

k = z/x
k = 228/12
k = 19

So, when x = 18, 
z = 19 * 18
z = 342

In short, Your Answer would be: 342

Hope this helps!
8 0
3 years ago
(4x+8)+(2x+20)=90 help me solve this and draw a diagram
Lemur [1.5K]

Answer:

x = 31/3

Step-by-step explanation:

4x+8+2x+20=90

4x+2x+8+20=90

4x+2x+8+20=90

6x+28=90

6x+28-28=90-28

6x=62

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5 0
3 years ago
PLS HURRY!!! I'LL GIVE BRAINLIEST!!!
KIM [24]

Answer:

2/3

Step-by-step explanation:

in order to find slope we do rise over run or y over x. if you look at the pictrue, when x increases by 3 then y increases by 2. Hope this helped!!!!!!

7 0
3 years ago
What is -4R-2r+5 as a simpler exspression
enyata [817]
\sf-4R-2r+5 is already in simplest form.

But if you meant to say \sf-4r-2r+5, we would combine the first two terms.

Adding/subtracting like terms is the same as adding/subtracting whole numbers.

\sf-4-2=-6

Therefore:

\sf-4r-2r=-6r

Which gives us:

\boxed{\sf-6r+5}
8 0
3 years ago
Read 2 more answers
6k+4k<-4k+6 solve for k
Genrish500 [490]

Answer:

k < 3/7

Step-by-step explanation:

Step 1:Sinplify both sides of the inequality

10k <-4k+6

Step 2: Add 4k to both sides

10k + 4k < -4k + 6 + 4k

14k < 6

Step 3:Divide both sides by 14

14k/14 < 6/14

k <3/7

Note:Provided by Mathpapa an Algebra caculator

6 0
2 years ago
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