Answer:
Height = 8 cm
Step-by-step explanation:
Volume of cylinder = π×r²×h
288π = π × 36 × h
(Divide both sides by π)
288 = 36 × h
(Divide 288 by 36)
8 = h
Answer: Angle A= 135 degrees and Angle B= 45 degrees
Step-by-step explanation:
Supplementary means two angles added together to make 180.
Angle A= 3x and Angle B= x
So 3x +x =180
4x=180 divide both sides by 4
x =45
So Angle A = 3 times 45 =135 degrees
Angle B= the value of x which is 45 degrees
The pic is blurry, but looks like 18x²-21x-15
(3x-5)(6x+3) is the factored form.
3 and 6 are the factors of 18
-5, 3 or -3, 5 are the factors of -15
I line them up like this
3 -5
6 3
then I multiple them diagonally: 3*3=9, -5*6=-30, the sum of 9 and -30 is exactly -21, the coefficient for x. (If the sum doesn't make -21, I'd switch -5 and 3, or change to -3 and 5 to try again.)
so the factored form is (3x-5)(6x+3)
Answer: The sum of the angles of a triangle on a sphere is 180°(1 + 4f), where f is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of f, this exceeds 180°.
Answer:
x=4
Step-by-step explanation: