Volume = 336,78 ft³
Surface Area = 367,04 ft²
Note :
l = long
w = wide
h = height
d = diameter
r = radius
V = Volume
SA = Surface Area
Known :
Rectangular prism :
l = 7 ft
w = 4 ft
h = 9 ft
Cylinder :
d = 6 ft
r = ½ d = ½ × 6 = 3 ft
h = 3 ft
Asked :
• V = ...?
• SA = ...?
Answer :
V = V rectangular prism + V cylinder
= (l × w × h) + (πr²t)
= (7 × 4 × 9) + (3,14 × 3² × 3)
= 252 + 84,78
= <u>3</u><u>3</u><u>6</u><u>,</u><u>7</u><u>8</u><u> </u><u>ft</u><u>³</u>
SA = SA rectangular prism + SA cylinder
= (2 (lw + lh + wh)) + (2πr (r + h))
= (2 (7×4 + 7×9 + 4×9)) + (2 × 3,14 × 3 (3 + 3))
= (2 (28 + 63 + 36)) + (18,84 × 6)
= (2 × 127) + 113,04
= 254 + 113,04
= <u>367,04 ft²</u>
The speed in feet per second is 247.5
The parachutist will fall 4950 feet during 20 seconds.
Step-by-step explanation:
Given,
Speed during free fall = 75 meters per second
It is given that,
1 meter = 3.3 feet
75 meter = 75*3.3 = 247.5 feet
Therefore;
Speed during free fall in feet = 247.5 feet per second
Now,
1 second = 247.5 feet
20 seconds = 247.5*20 = 4950 feet
Fall during 20 seconds = 4950 feet
The parachutist will fall 4950 feet during 20 seconds.
Keywords: multiplication
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#LearnwithBrainly
Answer:
The second one, question 4, would be C, y = -2x + 16
Step-by-step explanation:
You're trying to make an equation out of the information on the graph.
So, start with the format y = mx + b.
The variable m represents the slope. Use rise/run. I chose to use the points (0, 16) and (2, 12).
You would end up with a rise over run that looks like this: 4/2. Simplified, the slope would be 2. Because this line is moving downwards, your slope is negative.
So far, you have y = -2x + b.
The variable b represents the initial value, or where the line first touches the y-axis. You can see that the initial value is 16.
Plug that in. y = -2x + 16.
Hope this helps! Sorry I couldn't answer both, good luck on that test! <3
Answer:
point and line
Step-by-step explanation:
Answer:
Formula
A = 1/2 b * h
Substitute
Area = 60 in^2
b = x
h = 2x - 1
60= 1/2 * x * (2x - 1)
Solve
60 = 1/2 * x (2x - 1) Multiply by 2
60 * 2 = x(2x - 1)
120 = x (2x - 1) Remove the brackets.
120 = 2x^2 - x Subtract 120 from both sides.
2x^2 - x - 120 = 0 This factors.
(2x + 15)(x - 8) = 0
Solve for x
2x + 15 = 0
2x = - 15
x = -15/2
x = - 7.5 a negative measurement is useless. Discard this answer.
x - 8 = 0
x = 8
Area (Check)
base = 8
height = 16 - 1 = 15
Area = 1/2 * 8 * 15 = 60 as it should
Answer
Use Area = 1/2 * b * h to find the base and the height.Step-by-step explanation: