Since you're given the base for the perimeter of the rectangle, you can solve this question quickly.
First, you multiply 21 by 2, because there are two bases to a rectangle.
You'll get 42, and you will have to do 60-42 to find the perimeter for the remaining two sides.
60-42 will give you 18, so you can divide that by 2 because there are two other sides, giving you 9.
Now you have the side lengths 21 and 9. Area is base*height, so you can multiply 21*9 and get 189.
Therefore, the area of the rectangle is 189 meters
The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
<h3>How to solve the trigonometry ratios?</h3>
The equations are given as:
tan(x)=sin38°
cosec( x+10°)=1.345
In tan(x)=sin38°, we have:
tan(x)=0.6157
Take the arc tan of both sides
x = 31.6
Also, we have:
cosec(x+10°)=1.345
Take the inverse of both sides
sin(x+10°) = 0.7434
Take the arc sin of both sides
x+10 = 48.0
Subtract 10 from both sides
x = 38.0
Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
Read more about trigonometry ratios at:
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Answer:
12
Step-by-step explanation:
Set x=0
when you do that, you will find the point where y=12 since x^2+8x=0, but adding the 12 moves up the y-component by 12 units
