Answer:
106
Step-by-step explanation:
See attached
Answer:this item, we are given with the radius equal to 22 cm.
In this measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60° and equal to the hypotenuse times (1/2)(√3)
Step-by-step explanation:
If we let s be the side of the triangle then,
s/2 = r(1/2)(√3)
Multiplying the equation by 2,
s = r√3
Substituting,
s = (22 cm)(√3) = 22√3
The area of the equilateral triangle is computed through the equation,
A = (√3 / 4)(s²)
Substituting,
A = (√3 / 4)(22√3)² = 628.7 cm²
Therefore, the answer to this item is the first choice.
Answer:
<u>There are 35 Men, 12 Children, and 18 Women</u>
Step-by-step explanation:
Men(M), Women(W) and Children(C)
We learn that:
M = 35
W = 1.5C , and
M+W+C = 65
----
M+W+C = 65
M+1.5C+C = 65
35+1.5C+C = 65
2.5C = 30
C = 12
If C=12 and W=1.5C, then W=18
----
<u>There are 35 Men, 12 Children, and 18 Women</u>
(35+12+18) = 65 participants
the answer is (f/g)(x) = 2(x^2 - 7) + 1
= 2x^2 - 14 + 1
= 2x^2 - 13
Answer: See explanation
Step-by-step explanation:
The number of comedy films will be:
= 6/(6+8+1) × 135
= 6/15 × 135
= 54 comedy films
The number of action films will be:
= 8/(6+8+1) × 135
= 8/15 × 135
= 72 action films
The number of horror films will be:
= 1/(6+8+1) × 135
= 1/15 × 135
= 9 horror films
