Answer:
301.6 ft³
Step-by-step explanation:
The volume (V) of a cone is calculated using the formula
V =
× area of base × perpendicular height (h)
h can be calculated by using Pythagoras' identity in the right triangle
with hypotenuse = 10 and legs 6 and h, thus
h² + 6² = 10²
h² + 36 = 100 ( subtract 36 from both sides )
h² = 64 ( take the square root of both sides )
h =
= 8
Hence
V =
× π × 6² × 8
=
× 288π =
≈ 301.6
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Two planes have been given as plane A and plane B.
Two lines 'm' and 'n' are on the plane A.
These lines intersect each other at a point W.
Therefore, point W describes the point of intersection of the lines 'm' and 'n'.
Option (1) will be the correct option.
Let the width be w, then the length is 2w - 2.5.
Perimeter = 2(length + width)
40.6 = 2(2w - 2.5 + w) = 2(3w - 2.5)
3w - 2.5 = 40.6/2 = 20.3
3w = 20.3 + 2.5 = 22.8
w = 22.8/3 = 7.6
Therefore, width is 7.6 cm.
Answer:
x= -4 and y= 27/6
Step-by-step explanation:
-(8x + 6y = -5) which converts to -8x -6y = 5
10x + 6y = -13
simplify from there
-8x + 10x = 2x ; -6y + 6y = 0 ; 5 - 13 = -8
soo, now you have
2x = -8
x = -4
then, plug in to find y
8(-4) + 6y = -5
-32 + 6y = -5 add 32 on both sides
6y = 27 divide both sides by 6
y= 27/6 or 4.5
Answer:
2l + 2w. l+l+w+w. l+l+2w. 2(l+w)