Answer:
68.8 sq. inches.
Step-by-step explanation:
The triangular surfaces have sides 2 in by 3 in by 4 in.
So, half perimeter, s = 
So, the area of the triangular face is 
sq. inches.
Now, the total surface area of the right triangular prism will be (2.9 × 2) + 7(2 + 3 + 4) = 68.8 sq. inches. (Answer)
First, we must find the common denominator (12) ✵
10/12-6/12 ✵ ✵ ✵ ✵
Now, why 10? ✵ ✵ ✵
Because we CAN'T just take the denominator and change it; we must change both the denominator AND the numerator:
✵ • - ○
4/12 ✧ ✩ ✶ ✺ ✱
We can simplify, or reduce, this fraction: ✱ ✱
1/3 ✩ ✦ ✤
I hope it helps!
Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
Answer:
The sign would be positive.
The answer would be 144.
Step-by-step explanation:
Note that there are two negative numbers and two positive numbers:
positive x positive = positive answer.
negative x negative = positive answer.
Solve:
(-4) * (-3) = 12
2 * 6 = 12
12 * 12 = 144
144 would be your answer.
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Answer:
x = 8
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
x = 8
