Answer:
height = 4 meters
h = 2A / ( a + b )
Step-by-step explanation:
Let A represent the area of the trapezoid, h, the height a, the length of one base and b, the length of the other base
Area of a trapezoid, A = ( a + b)* h / 2
Now let's slot in the given values
A= 18 sq meters
a = 3 meters
b = 6 meters
we have;
18 = ( 3 + 6 ) * h /2
18 = 9 * h /2
Cross multiply
18*2 = 9h
36 = 9h
divide both sides by the coefficient of h (9)
4 = h
therefore, h = 4 meters
To solve for h without substituting
From A = ( a + b )* h /2
cross multiply
2*A = ( a + b )* h
divide both sides by ( a + b )
2A / ( a + b ) = h
therefore,
h = 2A / ( a + b )
Step-by-step explanation:
a+(a+60)=760
a=adult tickets
a+60=student tickets
a+a+60=2a+60
2a+60=760
-60 -60
2a=700
÷2. ÷2
a=350
350 adult tickets
<h3>
Answer: D) 130.5 degrees</h3>
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Work Shown:

Note: I used the law of cosines. Make sure your calculator is in degree mode.
Answer:
length=16feet width=12feet
Step-by-step explanation:
This may not be the best way, i just stumbled upon the answer using this.
I knew 14*14=196, which is relatively close to 192.
Then, I took away 2 from one of the 14s and added it to the other 14.
14-2=12 14+2=16
Apparently, 16*12 is 192, so that's the answer.