Answer:
x=22
Step-by-step explanation:
4x+2+x+3x+2=180
collect like terms
4x+x+3x=180-(2+2)
8x=180-4
8x=176
make x the subject of the formula
x=176/8
x=22
Answer:
452.448cm^3
Step-by-step explanation:
Given data
Height= 25cm
Diamter= 12cm
Radius= 6cm
The expression for the volume of a cone is given as
V= 1/3*πr^2h
Substitute
V= 1/3*3.142*6^2*25
V= 1/3*3.142*36*12
V= 1/3*1357.344
V=452.448cm^3
Hence the volume is 452.448cm^3
Answer:
So it makes sense that students would need more sleep, especially athletes. I think the conclusion should be that the data supported the hypothsis. Otherwise, students would have more injuries when they sleep, which is obviously not the case.
Step-by-step explanation:
Answer:
X= -1
Y= 2
Step-by-step explanation:
-1 + 3(2) = 5
-1 - 2 = -3
AD = AB
AD = 2r+8
AB = 5r-13
we need to find the value of r to find the total length
so 2r+8 = 5r-13
subtract 2r from each side:
8 = 3r -13
add 13 to each side:
21 = 3r
divide both sides by 3
r = 21 / 3 = 7
r=7
now we know r, so replace r with 7 in the equation for AD
AD = 2r+8 = 2(7) +8 = 14 +8 = 22
the answer is D. 22
