Volume of this prism
Answers
The volume is (area of cross-section) x (length) .
-- The cross-section is a triangle. The area of a triangle is
Area = (1/2) (base) (height) .
In this one, the base is 9/4 m and the height is 3-1/3 m .
Area = (1/2) (9/4 m) (3-1/3 m)
Area = (1/2) (9/4) (10/3)
Area = 90/24 m² .
-- Volume = (area of cross-section) x (length)
Volume = (90/24 m²) x (7-1/3 m)
Volume = (90/24) x (22/3) m³
Volume = (1,980 / 72) m³
Volume = 27.5 m³
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On a coordinate plane, a line goes through (0, 4) and (2, 0). The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the system of equations. y = −2x + 4, y = − 1 3 x − 1 What is the solution to the system?
Hi what is the anwer for this
Find the area of the following shape. Please explain how you broke it up and did
Answers
21 and 22
Answers
Answer: The value of x = 5.
Step-by-step explanation:
Given linear equation is 12-x=7 with variable x
To find the solution i.e. the value of x of the given linear equation, we need to perform following steps:
Step 1. Subtracting 12 from the both sides of the equation,we get
⇒12-x-12=7-12
⇒-x=-5
Step 2. Multiplying (-1) on the both sides ,we get
⇒-x × -1=-5 × -1
⇒x=5
So ,the value of x=5
Thus required solution of the given linear equation is x=5.
12-x=7. Well if you look at seven you should Be able to subtract 7 from 12 and get five.
You x Value = 5!
Answers
hope it helped youu!!
b) 32 notes in 4 measures, 12 notes in 2 measures
Show work if you can please :)
Answers
Final answer:
The rates 28 points in 3 games and 112 points in 12 games form a proportion, while the rates 32 notes in 4 measures and 12 notes in 2 measures do not form a proportion.
Explanation:
To determine whether the given rates form a proportion, we need to check if the ratios are equivalent. a) We'll start with 28 points in 3 games vs 112 points in 12 games. The ratio 28/3 equals approximately 9.33, and the ratio 112/12 also equals approximately 9.33. Since these ratios are equal, these rates do form a proportion. b) Moving to 32 notes in 4 measures vs 12 notes in 2 measures. The ratio 32/4 equals 8, and the ratio 12/2 equals 6. Since these ratios are not equal, these rates do not form a proportion.
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Answers
the ball will take 6.5 seconds to hit the ground
Final answer:
The question from the student is about time airborne for a volleyball hit upwards with an initial velocity. A physics equation of motion is utilized to solve it by inserting the values and extracting time.
Explanation:
The subject of the question is physics, specifically the subtopic of kinematics in terms of upward motion. The problem can be solved by using the equation of motion: `y = y0 + v0 * t - 0.5 * g * t²`, where y0 is the initial height, v0 is initial velocity, g is the acceleration due to gravity and t is the time taken. In this situation:
- y0 is 1 meter (the starting height of the ball).
- v0 is 13 m/s (the initial upward velocity of the ball).
- g is approximately 9.8 m/s² (the acceleration due to gravity).
Set y (the final position) to 0 (ground level), and solve for t (time taken):
0 = 1m + (13 m/s) * t - 0.5 * (9.8 m/s²) * t²
Solving this quadratic equation, we get two solutions as the time cannot be negative for this context, so choose the positive value as the time taken for the ball to hit the ground. This will give the duration the volleyball remains in the air after being hit by Martina.
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