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victus00 [196]
2 years ago
9

Find the volume of the prisms. Show work!

Mathematics
1 answer:
Fed [463]2 years ago
6 0

1. Answer =   About 1451.42 m³

  • First, we need to find the volume of the cube:
  • Formula: πr²h
  • Volume = π * 3² * 50 = 1413.72 m³
  • Second, we need to find the volume of the cone:
  • Formula: (πr²h)/3
  • Volume = π * 3² * 4 = 37.69 m³
  • Third, we need to add these two volumes to find the total volume of the figure.
  • 1413.72 m³ + 37.69 m³ = 1451.42 m³.

2. Answer <em>= </em>960 m³

  • Formula: (1/2(b*l)) * 20
  • First, we need to find the area of the base (1/2 * b* l).
  • 1/2 * 8 * 12 = 48.
  • Second, we need to multiply the area of the base by the height to get the volume.
  • B * h = 48 * 20 = 960 m³.
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Answer:

y= -4x^2 + 15x - 14

Step-by-step explanation:

A parabola is always in the form y = ax^2 + bx + c.

Substitute each point to produce different equations:

-14 = 0a + 0b + c = c

so c = -14

-3 = a1^2 + b1 + c = a + b - 14

so a + b = 11

0 = a2^2 + b2 + c = 4a + 2b -14 = 0

so 4a + 2b = 14

if we double a + b = 11 we get 2a + 2b = 22

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We don't need to use the (3,5) points as we have all the information we need.

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3 years ago
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There are 30 families. Two families have 4-5 pets. What percent of the families own 4-5 pets?
amm1812
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I need help with Question 14 . I need to submit it by monday...<br> Pls help
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Answer:

Distance between A and B is 5400 meters

Step-by-step explanation:

Consider "D" the letter to identify distance between A and B

Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:

Recall that distance equals the speed  times the time:

distance= speed * time

First encounter:

100 * t = D - 80 * t

180 * t = D    Equation (1)

Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .

Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:

100 *(t+6) = D - 75 * (t+6)

100 t + 600 = D - 75 t - 450

175 T + 150 = D    Equation (2)

Now, let's equal equation (1) to equation (2), since D should be the same:

180 t = 175 t + 150

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t = 30

Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:

From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters

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