Answer:
Step-by-step explanation:
For two angles x and y to be supplementary, the sum of the angles must be 180°
x+y = 180
x = 180-y... 1
If the measure of the angle is five times greater than its supplement this is expressed as:
x = 5y…. 2
Substitute equation 2 into 1
5y = 180-y
5y+y = 180
6y = 180
y = 30°
Hence the measure of the supplement is x = 5y
x = 5(30)
x = 150°
We need to compute for the circumference of the circle and get 75% of the value because only 3/4 of the figure is a circle. 1/4 is substituted by the triangle.
I am assuming that the 35 yards is the radius of the circle.
Circumference = 3.14 * 2 * 35 yards = 219.80 yards
3/4 of the circumference = 219.80 * 3/4 = 164.85 yards
Perimeter = 164.85 yards + 45 yards = 209.85 yards
Ran round the field 3 times.
209.85 yards * 3 times = 629.55 yards
To find the volume multiply all 3 numbers together.
2 1/2 x 1 1/2 = 3 3/4
3 3/4 x 3 = 11 1/4
The volume is 11 and 1/4 cubic units
Y= 5x-45
On your graph go by 5's
On the y go down 9 which going by 5 makes it -45
Then go up 5 and one to the right and plot points keep going. 25/5=5
The best and most correct answer among the choices provided by your question is the second choice or letter B "20".
The current area is 120(80)=9600 and he want to expand it by 4400 so that the new area will be 9600+4400=14000
14000=(120+x)(80+x)
14000=9600+200x+x^2
x^2+200x-4400=0
x^2-20x+220x-4400=0
x(x-20)+220(x-20)=0
(x+220)(x-20)=0, since x is an increase it must be greater than zero so
x=20ft
(120+20)(80+20)=14000ft^2
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