Answer:
48.7%
Step-by-step explanation:
8 goes into 64 8 times. 8*8 equals 64. For example 8+8+8+8+8+8+8+8=64 that is 8 written out 8 times. I hope that helped :D
Answer:
( -2 , 3 )
Step-by-step explanation:
When reflecting across the y-axis, you change the coordinates by ( -x , y )
( 2 , 3 ) --- ( -x , y ) --- ( -2, 3 )
To find the radius of the circular storage shed, you will use the formula for finding the volume of a cone (V=1/3 x pi x r^2 x h, where r is the radius and h is the height.
You will substitute in the information you know and then solve for the radius(r).
Please see the attached picture for the steps necessary to get an approximate radius of 2.02 ft as the radius.
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
