Answer:
Adjacent = 9.75 inches.
Step-by-step explanation:
Given the following data;
Hypothenus = 12 inches
Opposite = 7 inches
To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;
Hypothenus² = opposite² + adjacent²
Substituting into the formula, we have;
12² = 7² + adjacent²
144 = 49 + adjacent²
Adjacent² = 144 - 49
Adjacent² = 95
Taking the square root of both sides, we have;
Adjacent = 9.75 inches.
Therefore, the other leg is 9.75 inches.
Answer:
20%
Step-by-step explanation:
An equation is 14=x/100*70 or 14=(x%)*70, either one works
solve for x:
- 14=x/100*70
- 14/70=x/100 (Divide each side by 70)
- 1/5=x/100 (Simplify 14/70)
- 100/5=x (Multiply each side by 100 to isolate x)
- x=20 (Simplify 100/5)
- 20% (Rewrite as a percent)
hope this helps!!
Answer:
<Q = 30
Step-by-step explanation:
2x + 70 + x - 10 = 180
3x + 60 = 180
3x = 120
x = 40
x - 10
40 - 10
30
<Q = 30 because of vertical angles
Answer:
The lateral area is 392.5 sq. inches.
Step-by-step explanation:
The pipe is in a shape of a cylinder. The lateral area formula for a cylinder is:
Lateral Area = 
Where
r is the radius (half of diameter)
h is the height
Given, diameter = 5
so,
radius = 5/2 = 2.5
Also,
height = 25 inches (same as length, here)
Now we use 3.14 for 
and substitute the values to get the lateral area:
Lateral Area = 
The lateral area is 392.5 sq. inches.
