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3 years ago

How many one-third cubes are needed to fill the gap in the prism shown below?

Mathematics

2 answers:

attashe74 [19]3 years ago

8 0

Answer:

The answer is 16 I've seen this before so I would know. and your welcome

Step-by-step explanation:

posledela3 years ago

3 0

Answer:

Step-by-step explanation:

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

Liono4ka [1.6K]

Answer:

The wall is 10.5 foot far from the bottom of the ladder.

Step-by-step explanation:

Given:

Height of the ladder leaning against wall (Hypotenuse) = 20 foot.

Height from where the window is above from the ground (Leg1) = 17 feet.

To find the distance of the bottom of the ladder far from the wall (Leg2) = ?

Now, by using the pythagorean theorem:

$Hypotenuse^{2} = (Leg1)^{2} + (Leg2)^{2}$

$20^{2} =17^{2}+(Leg2) ^{2}$

$400=289+(Leg2)^{2}$

$400-289=(Leg2)^{2}$

$111=(Leg2)^{2}$

by squaring both sides

$Leg2=10.535$

10.535 foot rounded nearest tenth is 10.5 foot.

Therefore, the wall is 10.5 foot far from the bottom of the ladder.

6 0

3 years ago

The lateral area of a cylinder is 325 pi inch^2. The radius is 13 in. Find the surface area and volume. Please show all work!!!

USPshnik [31]

Answer:

Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²

Explanation:

1) We know the radius and the lateral area.

2) With the radius you can find the areas of the top and the bottom.

For that, you use the formula:

area of the top = area of the bottom = π r²

∴ π (13 in)² = 169π in² (each)

3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)

surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².

3) You can also find the height of the cylinder.

Use the formula: lateral area = 2π r h

∴ h = lateral area / [2 π r]

⇒ h = 325 π / [ 2π (13) ] = 12.5 in

4) With the height you can find the volume.

Use the formula: V = (4/3) π r³

∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²

8 0

3 years ago

Wyatt is going to a carnival that has games and rides. Each game costs $1. 25 and each ride costs $2. 75. Wyatt spent $20. 25 al

Nonamiya [84]

In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.

<h3>What is system of equation?</h3>

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The number of unknown objects can be find using the system of solution.

Given information-

The cost of each game is $1.25.

The cost of each ride is $2.75.

Total amount of money spent by the Wyatt is $20.25.

The number of rides he went on is twice the number of games he played.

Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is <em>y. </em>

As, the number of rides he went on is twice the number of games he played. Thus,

$y=2x$

Let the above equation as equation one.

As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,

$1.25x+2.75y=20.25\\$