Answer:
a.
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:

Answer:
The answer to your question is: 53 in²
Step-by-step explanation:
Area = ?
Process: divide the shape in one rectangle and one triangle.
Area of rectangle
A = base x height
A = 8 x 6
A = 48 in²
Area of rectangle
base = 13 - 8
= 5 in
height = 6 - 4
= 2 in
Area = (b x h) / 2
= (5 x 2) / 2
= 10 / 2
= 5 in²
Total area = 48 + 5 = 53 in²
Answer:
237600
Step-by-step explanation:
do 165 x 1440
Answer:
x=20
Step-by-step explanation:
These angles are vertical angles so they are equal.
7x-99 = 2x+1
Subtract 2x from each side
7x-2x -99 = 2x-2x+1
5x -99 =1
Add 99 to each side
5x-99+99 = 1+99
5x = 100
Divide each side by 5
5x/5 =100/5
x = 20
Answer: Yes
Step-by-step explanation: by SAS