Surface Area of the cylinder is: <span>384.85
Volume of the cylinder is: </span><span>538.78</span>
Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.
The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)
The perimeter is 150yd, therefore
a + b + c = 150 (2)
Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)
From (2), obtain
c = 150 - a - b (4)
Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60
From (1), obtain
60b = 1500
b = 25
From (4), obtain
c = 150 - 60 - 25 = 65
Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.
we know that
The angle bisector, is the line or line segment that divides the angle into two equal parts.
So
in this problem
m∠ZXW=m∠WXY+m∠ZXY
m∠WXY=m∠ZXY
Part a) <u>Find the value of m∠WXY</u>
m∠ZXY=37°-----> given value
so
m∠WXY=m∠ZXY=37°
therefore
<u>the answer part a)</u>
The measure of angle WXY is equal to 37°
Part b) <u>Find the value of m∠ZXW</u>
m∠ZXW=m∠WXY+m∠ZXY
m∠ZXW=37°+37°=74°
therefore
<u>the answer part b) is</u>
the measure of angle ZXW is 74 degrees
