Answer:
54
Step-by-step explanation:
4x + 6 movies
12 movies,
x =12
4x + 6 for x= 12
4(12) + 6 = 54
Answer:
The correct answer is C. 13
Step-by-step explanation:
It is 13 because all triangles equal 180
so 125+42+13=180
Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.
So if D is the diameter and h is the height of the conical pile then we can write:
D=3h
We know that diameter = 2r, where r is the radius
2r=3h

Volume of conical pile is given by formula

Given that volume is 1110 cubic feet.
Now plug the values of Volume and r into equation of volume





take cube root of both sides
7.78103342467=h
Hence height is approx 7.78 feet.
Answer:
g(5) = 5
Step-by-step explanation:
g(5) is really g when x=5 so we have to use the function g(x) when x≥2
g(5) = 2x-5 when x=5
g(5) = 2*5 -5 = 10-5 = 5