Answer:
<h2>36 in²</h2><h2 />
Step-by-step explanation:
area of a triangle = 12 in²
area of a trapezoid = 24 in²
just combine the two shape (see image)
then add the area.
total area = 12 + 24
= 36 in²
Answer:
The child has 6 dimes and 5 quarters.
Step-by-step explanation:
Let q and d represent the number of quarters and of dimes respectively.
Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).
Multiply the 2nd equation by 100 to remove the decimal fractions:
25q + 10d = 185 (Equation C)
Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:
-10q - 10d = -110
25q + 10d = 185
--------------------------
15q = 75, and so q = 75/15 = 5.
According to Equation A, q + d = 11. Replacing q with 5, we get:
5 + d = 11, and so d = 6.
The child has 6 dimes and 5 quarters.
Answer:
a). The company's percentage=60%
b). The total premium=$812.50
c). The company's payment=$487.50
Step-by-step explanation:
a).
The total premium can be expressed as;
T=H+R
where;
T=proportion of total premium
H=proportion paid by Harold Wagner
R=remaining proportion
In our case;
T=100%
H=40%
R=r
replacing;
100%=40%+r
r=100%-40%
r=60%
The company's percentage=60%
b).
The total premium, if 40%=$325.00
Let total premium be=t
40% of t=325
(40/100)×t=325
0.4 t=325
t=325/0.4
t=$812.50
The total premium=$812.50
c).
The company's payment=60% of total premium
The company's payment=(60/100)×812.5
The company's payment=$487.50
Answer:
The answers are 3 and 2pi
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given: The side of the square shaped traffic sign = 4x+3
We know that the area of square is given by:-

Therefore, the area of the side of the square shaped field is given by:-

We know that , 
Therefore,

Hence, 