Answer:
53°
Step-by-step explanation:
x + (2x + 21) = 180
(Corresponding angles &
Supplementary angles)
3x + 21 = 180
3x = 159
x = 53°
Its a rectangle so two sides are equal and both sides that are opposite of each other are equal. So two sides are 37. Then you add them together to get 74, then subtract it from 164 to get 90 the rest of the fence length. Then divide it by two to get 45 which is the other side lengths, so it would be a 37 by 45 rectangle one side would be 37 while the other two are 45.
Answer:
The radius of the cone is approximately 1.4 feet
Step-by-step explanation:
The given parameters of the cone are;
The height of the cone, h = 4 ft.
The volume of the cone, V = 7.77 ft.³
The volume, 'V', of a cone is given by the following formula;
V = 1/3 × π·r²·h
Where;
V = The volume of the cone = 7.77 ft.³
r = The radius of the cone
h = The height of the cone = 4 ft.
By substituting the vales of 'h' and 'V' in the above equation, we have;
7.77 ft.³ = 1/3 × π × r² × 4 ft.
∴ r = √(3 × 7.77 ft.³/(π × 4 ft.)) = 1.36196580784 ft.
∴ The radius of the cone, r ≈ 1.4 ft. (rounding the answer to the nearest 10th)
Answer: See below
Step-by-step explanation:
For the first one, we are already given our slope. All we need to do is find the y-intercept, b.
y=-2x+b
6=-2(-3)+b
6=6+b
b=0
The slope-intercept form is y=-2x.
For the second one, we need to first find the slope using
.

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.



The slope-intercept form is
.
For the third one, we are already given the slope, so all we have to do is find b.




The slope-intercept form is
.
For the last one, we need to first find the slope using
.

Now that we have our slope, we can plug it into our slope-intercept form and find b.




Our slope-intercept form is
.