Answer:
190.4
Step-by-step explanation:
Solve the following system:
{2 y - 3 x - 8 = 3 y + 4 x - 1 | (AB=DE)
4 y + 10 x + 3 = -2 y - 17 x + 9 | (BC=EF)
x = -16/5, y = 77/5
DF=AC=-27x+5y+27=190.4
There you go, have a great day
Answer:
r = 14.998 yd
Step-by-step explanation:
Volume of a cone
V = πr^2h/3
Given:
V = 3,532 yd cubed
π - 3.14
r = h
Since the radius and the height of the cone are equal
So, let r = h = x yd
V = 3.14 * x^2 * x/3
3532 = 3.14x^3/3
3532 = 1.047x^3
Divide both sides by 1.047
3532/1.047 = x^3
3373.45 = x^3
x = 14.998 yd
Since r = h = x
r = h = 14.998yd
r = 14.998yd
Hint: to check if the value of radius and the height are correct, insert the values into the formula
V = πr^2h/3
V = 3.14 * 14.998^2 * 14.998/3
= 3.14 * 224.940 * 4.999
= 3530.852
≈ 3531 yd cubed
Due to approximations
a) Rectangles are similar
b) 1 : 9
c) No volume
Step-by-step explanation:
Step 1 :
Given
The length and width of rectangle1 is x and y
The length and width of rectangle2 is kx and ky
Step 2 :
a)
2 rectangles are similar when the sides of the rectangles are proportional
Since here we have the sides of rectangle 2 obtained by multiplying each side of the first rectangle by a non zero constant term , the 2 given rectangles are proportional
Step 3 :
b)
Area of rectangle1 is x * y
Area of rectangle is 3x * 3y = 9xy (given k = 3)
Ratio of the areas is xy : 9 xy = 1 : 9
Step 3 :
Given k = 2
There is no volume for a 2 dimensional figure
300? Sorry if I’m wrong but that’s what i would’ve put
The answer to the problem is A