Answer:
Step-by-step explanation:
Given
See attachment
Required
Find 
First, calculate 
--- angle on a straight line
So, we have:
Collect like terms
Next, calculate PQR
So, we have:
Collect like terms
So, PRO is calculated as:
--- angles in a triangle
So, we have:
Collect like terms
Answer:
The exact value of
sin
(
30
)
sin(30) is
1
2
12.
15
⋅
1
2
15⋅12
Combine
15
15 and
1
2
12.
15
2
152
The result can be shown in multiple forms.
Exact Form:
15
2
152
Decimal Form:
7.5
7.5
Mixed Number Form:
7
1
2
712
Step-by-step explanation:
1. To solve this exercise, you must apply the formula for calculate the area of a trapezoid, which is shown below:
<span>
A=(b1+b2/2)h
</span><span>
A is the area of the trapezoid.
</span><span> b1 is the larger base of the trapezoid (b1=16-4=12 ft).
</span><span> b2 is the smaller base of the trapezoid (b2=10-4=6 ft).
</span><span> h is the height of the trapezoid (h=12-4=8 ft)
</span><span>
2. When you substitute these values into the formula A=(b1+b2/2)h, you obtain:
</span><span>
A=(b1+b2/2)h
</span><span> A=(12 ft+6 ft/2)(8 ft)
</span><span> A=9 ftx8ft
</span><span> A=72 ft²
</span><span>
3. </span><span>The length of fencing is:</span> a²=b²+c² a=√b²+c² a=√(8 ft)²+(6 ft)² a=10 ft Perimeter (Length of fencing)=12 ft+8 ft+6 ft+10 ft=36 ft
The image is answer.................
