Answer:
14m
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
153.86 = 3.14 r^2
Divide each side by 3.14
153.86 /3.14 = r^2
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 = r
We want the diameter which is twice the radius
d = 2r
d =2*7
d =14
Answer:
17
Step-by-step explanation:
Do the exponent first, then subratct it to 81
Answer:
You use the formulas for the shapes
Cylinder= 2×π×r×h+2×π×r² π×r²×h
Cone=
π×r²×![\frac{h}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B3%7D)
Square Prism= 2×a²+4×a×h a²×h
↑a=base edge
Step-by-step explanation:
Surface Area Volume
Cylinderical Head ≈282.74 ≈314.16
Conical Hat ≈170.13 ≈78.54
Right Cylinder Torso ≈471.24 ≈785.4
Right Cylinder Arm ≈56.55 ≈25.13
Square Prism Leg =224 =192
Answer:
![y=\frac{1}{2}x+6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B6)
Step-by-step explanation:
Given:
The equation of the known line is:
![y=\frac{1}{2}x-4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx-4)
A point on the unknown line is (-4, 4)
Now, since the two lines are parallel, their slopes must be equal.
Now, slope of the known line is the coefficient of 'x' which is
.
Therefore, the slope of the unknown line is also ![m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B2%7D)
Now, for a line with slope 'm' and a point on it
is given as:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Here,
. Therefore,
![y-4=\frac{1}{2}(x-(-4))\\\\y-4=\frac{1}{2}(x+4)\\\\y-4=\frac{1}{2}x+2\\\\y=\frac{1}{2}x+2+4\\\\y=\frac{1}{2}x+6](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B1%7D%7B2%7D%28x-%28-4%29%29%5C%5C%5C%5Cy-4%3D%5Cfrac%7B1%7D%7B2%7D%28x%2B4%29%5C%5C%5C%5Cy-4%3D%5Cfrac%7B1%7D%7B2%7Dx%2B2%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B2%7Dx%2B2%2B4%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B2%7Dx%2B6)
Hence, the equation of the unknown line is
.
Answer:
The amount of carpet needed in Room Z should be the same as the carpet needed in both Room X and Room Y.
Step-by-step explanatio