V = r² π h + 1/2 · 4/3 r³ π
V = 6² · 22/7 · 198 + 4/6 · 6³ · 22/7
V = 36 · 22 · 24 + 144 · 22/7 = 19,008 + 452.57 = 19,460.57 ≈ 19,461 ft³
Answer: B ) 19,461 ft³
Answer:
Yes.
Step-by-step explanation:
Yes they are because that is the definition of congruency.
D for the same reason percents
Answer:
Option C.
Step-by-step explanation:
It is given that the dilation rule is . It means the center of dilatation is point Q and scale factor is 2.5.
Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.
It is given that QU=4 and scale factor = 2.5.
Multiply both sides by 4.
We know that
The distance between U' and U is 6 units.
Therefore, the correct option is C.
Answer:
x = 3.51
Step-by-step explanation:
Since, formula to determine the area f a triangle is,
Area =
8 =
16 = x(3x - 7) + 1(3x - 7)
16 = 3x² - 7x + 3x - 7
16 = 3x² - 4x - 7
0 = 3x² - 4x - 23
3x²- 4x - 23 = 0
By quadratic formula,
x =
x =
x =
x =
x = 3.51, -2.18
But the length of sides can't be negative.
Therefore, x = 3.51 will be the answer.