Answer:
x = 2.
Step-by-step explanation:
5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55
5[3x + 12 - 2 + 2x] - x - 15 = 14x + 55
5[5x + 10] - x - 15 = 14x + 55
25x + 50 - x - 15 = 14x + 55 Now we subtract 14x from both sides:
25x + 50 - x - 15 - 14x = 14x - 14x + 55
10x + 50 - 15 = 55 Now we subtract 50, add 15 to both sides:
10x + 50 - 50 - 15 + 15 = 55 - 50 + 15
10x = 20
x = 2.
We know that
[scale factor] is equal to the ratio <span>between the lengths of their edges
so
scale factor=2/5
volume smaller cylinder/volume larger cylinder=[scale factor]</span>³
volume smaller cylinder/volume larger cylinder=[2/5]³---> 8/125
the answer is
8/125
Answer:
a. 16π cm²
b. 24π cm²
c. 33 1/3π cm²
d. 64π-128 cm²
e. 144π-288 cm²
Step-by-step explanation:
To find area of shaded region, find area of whole circle then divide the area where you're left with the area of the shaded region. For the problems with the triangles you find the area of the triangle then subtract that from a fourth of the area of the circle.
Area of a circle = πr²
a.
r=8cm
Area of circle=64π cm²
Shaded region=16π cm²
b.
r=12cm
Area of circle=144π cm²
Shaded region=24π cm²
c.
r=10cm
Area of circle=100π cm²
Shaded region=33 1/3π cm²
d.
r=16cm
Area of circle=256π cm²
Area of triangle=128 cm²
Shaded region=64π-128 cm²
e.
r=24
Area of circle=576π cm²
Area of triangle=288 cm²
Shaded region=144π-288 cm²
The answer to the question would be 6
