Answer:
V≈100.53
Step-by-step explanation:
V=πr2h=π·22·8≈100.53096
Answer:
85, 68, 51
Step-by-step explanation:
Average: The sum of all the numbers divided by the number of numbers
If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x
Then using the definition of an average, we can write this equation.
(5x + 4x + 3x) / 3 = 68
Multiply both sides by 3.
5x + 4x + 3x = 68 * 3
Simplify.
12x = 204
x = 17
Now, substitute x = 17 into the original scores (5x, 4x, and 3x)
5x = 5 * 17 = 85
4x = 4 * 17 = 68
3x = 3 * 17 = 51
Just in case, let's check this answer. Find the average of the 3 test scores.
(85 + 68 + 51) / 3 =
204 / 3 = 68
Thus, the answers are correct
Answer:
b = 10, c = 9
Step-by-step explanation:
For the triangles to be congruent by the HL postulate, then
UW = DF ( hypotenuse are congruent ), that is
12b - 34 = 5b + 36 ( subtract 5b from both sides )
7b 0 34 = 36 ( add 34 to both sides )
7b = 70 ( divide both sides by 7 )
b = 10
and
UV = EF ( legs are congruent )
4c - 9 = 3c ( subtract 3c from both sides )
c - 9 = 0 ( add 9 to both sides )
c = 9
Answer:
perfect square trinomial
Step-by-step explanation:
