Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: 
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.
Multiply both sides by 80
Calculate sin(46) using a calculator (make sure it's in degree mode)
Simplify
Round this to the nearest foot
Your answer is below (for y)
y=−23x+950
Your answer for x is
x=−y/23+950/23x
Hello,
I suppose as we don't see correctely the 2nd image, that it is the first one.
Angles DOY and DKY intersept then same arc are equals.
5x+15=3x+21
==>2x=6
==>x=3 and 5x+15=5*3+15=30°, 3x+21=3*3+21=30°
Angle OYK=15x=15*3=45°
Angle ODK=9x+18=9*3+18=45° =Angle OYK which intersept the same arc.
Answer:
113.115 cm
Step-by-step explanation:
<u>Formula:</u>
C = 2πr
<u>Given:</u>
Radius: 22 cm
Diameter: 44 cm
The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter.
Simply plug in your numbers to find the circumference first.
C = 2π(22)
C = 44π cm or 138.23 cm
Then, divide the circumference in half, and add your diameter.
Perimeter = (44π/2) + 44 = 113.115 cm
8v + 8b = 240
4v + b = 54....multiply by -2
-------------------
8v + 8b = 240
-8v - 2b = - 108 (result of multiplying by -2)
------------------add
6b = 132
b = 132/6
b = 22 <== buses hold 22 students
4v + b = 54
4v + 22 = 54
4v = 54 - 22
4v = 32
v = 32/4
v = 8 <== vans hold 8 students
