Answer:
The radius of the cylinder is 7 in
Step-by-step explanation:
To calculate the radius of a cylinder we have to use the following formula:
v = volume = 980π in³
h = height = 20in
π = pi
r = radius
v = (π * r²) * h
we replace with the known values
980π in³ = (π * (r)²) * 20in
980π in³ / 20in = π * (r)²
49 in² = (r)²
√(49 in²) = r
7 in = r
The radius of the cylinder is 7 in
Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
(7 × 10-21) / (<span> 7.6 × 10-22) = 9.21 times greater</span>
Answer:
26
Step-by-step explanation:
8 + 3n
n = 6
8+3(6)
= 8 + 16
= 26
Answer:
Step-by-step explanation:
volume=3×3×7=63 inch³
