Answer:
282.7 in³
Step-by-step explanation:
The solid is a cylinder
Volume of the cylinder = πr²h
Where,
radius (r) = 3 in.
height (h) = 10 in
Volume = π*3²*10
= π*9*10
= π*90
= 282.743339 ≈ 282.7 in³ (nearest tenth)
To solve an equation for one variable, we will utilize PEMDAS ( parentheses, exponents, multiplication/division, add/subtract) but backwards. So we will first add/subtract any numbers to the other side to get the variable by itself. We will then divide/multiply any numbers to get the variable by itself.
Answer:
x > 5
Step-by-step explanation:
Given that:
= -2(3x + 2) > -8x + 6
(negative sign before bracket will alter the internal signs when multiplied by each term)
= -6x - 4 > -8x +6
Taking x terms on left side and other constants on right side
= -6x + 8x > 6 +4
Signs will be changer for transferred terms
= 2x > 10
By Dividing both sides 2 we get
=x > 10/2
= x >5
Answer:
333 ft^2
Step-by-step explanation:
Surface area is the sum of all the areas of the shape.
First, the area of the square in the center is simply 9x9 = 81.
The area of a triangle is (bh)/2, where b = base, and h = height
In the triangle, 9 is the base, and 14 is the height:
(9x14)/2 = 63
There are four triangles of the same area:
63 x 4 = 252
252 + 81 = 333