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What is the exact perimeter of kite UVWX? Show your work.

≈ 28.98

Step-by-step explanation:

Use Pythagorean Theorem to find the sides:

9 + 81 =

9.49 ≈ Side XW and Side XU

9 + 16 =

5 = Side VW and Side VU

Formula for perimeter of kite:

P = 2(a + b)

P = 2(9.49 + 5)

P ≈ 28.98

10 + 6

Step-by-step explanation:

The diagonals of a kite are perpendicular to each other.

Thus the 4 triangles formed are right.

Use Pythagoras' identity to solve for the unknown sides.

UX² = 3² + 9² = 9 + 81 = 90 ( take the square root of both sides )

UX = = = 3

Thus UX = WX = 3

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UV² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

UV = = 5

Thus UV = VW = 5

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The perimeter is the sum of all 4 sides, so

perimeter = 5 + 5 + 3 + 3 = 10 + 6 ← exact perimeter

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

the 3rd option is right

step-by-step explanation: