Solution:
<u>Simplify the equation and solve for r.</u>
- r/16 + 6 = 7
- => r/16 = 7 - 6
- => r/16 = 1
- => r = 16
The value of r is 16.
<u>Check:</u>
- r/16 + 6 = 7
- => 16/16 + 6 = 7
- => 1 + 6 = 7
- => 7 = 7 (Proved correct)
Using the given information find the length and width of the base:
Perimeter = 2L + 2W
L = 3W
Replace L in the first equation:
Perimeter = 2(3W) + 2w
96 = 2(3W) +2W
Simplify:
96 = 6W +2W
96 = 8w
Divide both sides by 8:
w = 96 / 8
w = 12
The width is 12 inches.
The length = 3 x 12 = 36 inches.
Volume = L x W X H
Volume = 36 x 12 x 14
Volume = 6,048 cubic inches.
Answer:
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We need to find the value of the hypotenuse in order to solve this problem.
12^2+4^2=H^2
Therefore:
H=√(144+16)
H=4√10
Now:
sin(G)=O/H=4/(4√10)
=1/(√10)
=(√10)/10
Step-by-step explanation:
2 1/2 + 1 1/16
Adding whole number parts and fraction parts together,
(2+1) + (1/2 + 1/16)
= 3 + (1*8/2*8 + 1/16)
= 3 + (8/16 + 1/16)
= 3 + 9/16
= 3 and 9/16