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2 years ago

Here are 2 right triangles.

Mathematics

1 answer:

Eva8 [605]2 years ago

8 0

Answer

Part A: The right triangles are smiliar because If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar.

Part B: 2z:2x or 2z/2x. You can write z/x as z:x. Then just multiply both sides by the same number to get an equivalent ratio. Let's multiply by 2. then the answer will be: 2z:2x or 2z/2x

Step-by-step explanation:

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A manatee swims 1/4 mile in 3 minutes. What is its swimming speed in miles per hour?

Fynjy0 [20]

Step-by-step explanation:

I believe that the manatee can swim 5 miles per hour

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2 years ago

Solve each quadratic equation. Show your work.<br> x^2 + 3x = 10

Oxana [17]

$x^{2} +3x=10$
$x^{2} +3x-10=0$
$x^{2} +5x-2x-10=0$
x(x+5)-2(x+5)=0
(x-2)(x+5)
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2 years ago

Read 2 more answers

If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank

strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water ( $Q$ ), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

$Q = \dot Q \cdot \Delta t$ (1)

Where:

$\dot Q$ - Volume rate, measured in feet per minute.

$\Delta t$ - Time, measured in minutes.

If we know that $\dot Q = 2000\,\frac{gal}{min}$ and $\Delta t = 120\,min$ , then the amount of water is:

$Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)$

$Q = 32160\,ft^{3}$

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

$Q = \frac{\pi}{4}\cdot D^{2}\cdot h$ (2)

Where:

$D$ - Diameter, measured in feet.

$h$ - Height, measured in feet.

If we know that $Q = 32160\,ft^{3}$ and $h = 12\,ft$ , then the minimum diameter is:

$D^{2} = \frac{4\cdot Q}{\pi\cdot h}$

$D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }$

$D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }$

$D \approx 58.415\,ft$

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

8 0

2 years ago

Eva estimate the 475 songs will fit on her MP3 player. The actual amount of songs that fit is 380. Find percent error

Shalnov [3]

Answer: 20%

Step-by-step explanation: Let’s use the variable ‘x’ as the percent. You need to make an equation and fill in the blanks. ___ is ____% of ____. So 380 is x% of 475. Now solve the problem. 380/475 = x/100, cross multiply. Now you have 475x = 380 * 100 or 475x = 38000. Now divide each side by 475. Now you have, x = 80%. Now you subtract. 100% - 80%. AND YOU GET 20%

4 0

2 years ago

Lizette wanted to see if it would be possible to use a little less materials in a tea infuser but still not be required to be at

Oksi-84 [34.3K]

Considering the volume of a rectangular prism, since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

<h3>What is the volume of a rectangular prism?</h3>

The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

The original dimensions are:

h = 7.9 cm, l = 3 cm, w = 1.5.

Hence the volume in cm³ was:

V = 7.9 x 3 x 1.5 = 35.55 cm³.

The infuser was filled to 80% capacity, hence:

Vf = 0.8 x 35.55 = 28.44 cm³.

For the new dimensions, we have that h = 7 cm, hence the volume is:

Vn = 7 x 3 x 1.5 = 31.5 cm³.

28.44/31.5 x 100% = 90.29%.

Since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

#SPJ1

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1 year ago