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dybincka [34]
3 years ago
12

How to solve for x in these shapes?

Mathematics
1 answer:
DiKsa [7]3 years ago
6 0

Answer:

Step-by-step explanation:

a

sum of angles of a quadrilateral=360°

4x+5x+20+5x-10+3x+10=360

17x=360-20

17x=340

x=340/17

x=20

b.

sum of angles= (n-2)×180

where n is the number of sides.

5x+4x+2+5x+6+2x-2+3x+5+x-10=(6-2)×180

20x+1=720

20x=719

x=35.95

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PLEASE help me with this question!! I really need help!
alexdok [17]

Answer:

324π in²

Step-by-step explanation:

The surface area of a sphere = 4πr² ( r is the radius )

Calculate r using the volume (V) formula

V = \frac{4}{3}πr³

Here V = 972π , thus

\frac{4}{3}πr³ = 972π ( divide both sides by π )

\frac{4}{3}r³ = 972 ( multiply both sides by 3 to clear the fraction )

4r³ = 2916 ( divide both sides by 4 )

r³ = 729 ( take the cube root of both sides )

r = \sqrt[3]{729} = 9

Thus

surface area = 4π × 9² = 4π × 81 = 324π in²

5 0
3 years ago
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2 years ago
Sue Shopper received a $749.25 discount loan to purchase a refrigerator. The loan was offered at 12% for 120 days
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