Answer:
The answer is
, or the first option.
The last option isn't correct for this answer, even though it is correct mathematically. This is because it wants the fully simplified version, so the 5o squared would turn into a 5 and a 2, with the 5 multiplying the -6, and the 2 remaining underneath the square root.
#teamtrees #WAP (Water And Plant)
Multiples of ten are: 10, 20, 30, 40, 50, 60, & 70.
So there are (7 options that ARE multiplies of ten) out of (75 total options)
Thus, there are (75 - 7 options that are NOT multiples of ten) out of (75 total options).
Answer: 
The correct answer is C "never."
The hypotenuse in a 30-60-90 triangle is the shorter leg doubled. So, it's 2x where x is the shorter leg.
In fact, the square root of two is not used to calculate any other sides in a 30-60-90 triangle. The shorter leg is x, the medium leg is x√3, and the hypotenuse is 2x.
d. x = 2, DF = 7, EG = 7
DF is equivalent to EG; Therefore, the equation would be like this:
5x - 3 = x + 5
Transfer 3 and x to their opposite side and change their signs.
5x - x = 5 + 3
4x = 8
Find x. Divide both sides by 4.
4x / 4 = 8 / 4
x = 2
Subsitute x in the equation to find the length of each diagonal.
DF = 5x - 3 = 5(2) - 3 = 10 - 3 = 7 ; DF = 7
EG = x + 5 = 2 + 5 = 7 ; EG = 7
Answer:
The volume of the cylinder is 2.1 times the volume of the pyramid
Step-by-step explanation:
step 1
Find the volume of the pyramid
we know that
The volume of a right pyramid is equal to

where
B is the area of the base of pyramid
H is the height of the pyramid
we have

substitute

step 2
Find the volume of the right cylinder
we know that
The volume of right cylinder is equal to

where
B is the area of the base of cylinder
H is the height of the cylinder
we have

substitute

step 3
Compare the volumes
we know that
The area of the base both figures are congruent
Find the ratio of their volumes

substitute

Simplify


therefore
The volume of the cylinder is 2.1 times the volume of the pyramid