Answer/Step-by-step explanation:
[1] x+9+1+3x
Add the numbers
x + 10 +3x
Combine like terms
4x+10
Common factor
2(2x+5)
<u>Solution = </u><u>2(2x+5)</u>
<u>.............................................................................................................................................</u>
[2] 5a+6c+2a+3c
Combine like terms
7a+6c+3c
Combine like terms
7a+9c
<u>Solution</u><u> = 7a + 9c</u>
<u>...............................................................................................................................................</u>
[3] 5n+6m+3n
Combine like terms
8n + 6m
Rearrange terms
6m + 8n
<u>Solution </u><u>= 6m+8n</u>
<u>.............................................................................................................................................</u>
[RevyBreeze]
All cone-shaped cups have the same height in 8 inches. They just differ in their diameters. To solve for the volume of the regular and jumbo sizes, let's use the formula for the volume of cone
V = (1/3)*pi*(r^2)*h
r is just the half of the diameter, h is the height which is equal to 8
Regular size:
V = (1/3)*pi*((4/2)^2)*8
V = 33.5 cube inches
Jumbo size:
V = (1/3)*pi*((8/2)^2)*8
V = 134.0 cube inches
Answer:
Kim should'nt have put 2 because y would be bigger than 2
by-step explanation:
Answer:
0.442m
Step-by-step explanation:
see attachment for the figure.
We know the formula :
sinθ = Perpendicular/Hypotenuse
From figure 1: when angle is 60°
perpendicular = 'h' and Hypotenuse=6m
by putting in the formula
sin 60°= h/6 (rearranging for h)
h=6 sin60°
h= 5.196m
From figure 2: when angle is 70°
perpendicular = 'h' and Hypotenuse=6m
by putting in the formula
sin 70°= h/6 (rearranging for h)
h=6 sin70°
h= 5.638m
therefore, h= 5.638-5.196=> 0.442m
the ladder will reach 0.442m much higher at the 70° angle