Answer:
A.
Step-by-step explanation:
Greatest Common Divisor [GCD]: 1½
I am joyous to assist you anytime.
Plug in the dimensions to the formula given using a handy dandy calculator for both problems.
1. The diameter of the bottom of the cone is 4 so the radius (half that) is 2. Volume = 1/3 * pi * (2)² * 6
= 1/3 * pi * 4 * 6
= 1/3 * pi * 24
= 8 * pi
≈ 25.1327 cm³
2. They give you all you need, the radius.
Volume = 4/3 * pi * (6)³
= 4/3 * pi * 216
= 288 * pi
≈ 904.7787 in³
Answer:
x = 1
Step-by-step explanation:
The line 1 passing through the points (-2,4), (0,2) and (1,1) is represented by the function f(x).
Again the line 2 is represented by y = g(x) and it passes through the points (-3,-3), (0,0) and (1,1).
So the only common point between line 1 and line 2 is (1,1) and it will be unique since two straight lines meet at only one point if they are not parallel.
Hence, for x = 1 input value produces the same output value y = 1 for the two functions f(x) and g(x) on the graph. (Answer)
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
Use the formula:
B refers to the base and H refers to the height of the triangle.
As such, multiply both the base and height of the triangle and divide the answer by 2, to find the area of the triangle.