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snow_tiger [21]

3 years ago

6

IN the 30-60-90 triangle below, side s has a length of ? and side q has a length of ?

1 answer:

scZoUnD [109]3 years ago

7 0

The ratios for 30:60:90 are x:sqrt(3)x:2x

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Please help me I will give brainliest

Fofino [41]

Answer: -5, 1

Step-by-step explanation:

6 0

3 years ago

Which three lengths could be the lengths of the sides of a triangle? A.21 cm, 7 cm, 7 cm B.9 cm, 14 cm, 22 cm C.15 cm, 5 cm, 20

lapo4ka [179]

B.) 9 cm, 14 cm, 22 cm

It would make an obtuse triangle, and by using the triangle calculator trick or ways you would have to find the area of the triangle, but it would get to confusing...

But also the simplest way or elementary would be

A.) 21 cm, 7 cm 7 cm

I messed up my self I'm am truly sorry but,

I hoped this helped!! <33

5 0

3 years ago

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

PtichkaEL [24]

Answer:

B. 30x

D. x(45-15)

Step-by-step explanation:

The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.

45x -15x = x(45 -15) = 30x

5 0

2 years ago

15 POINTS! someone pls answer

photoshop1234 [79]

Answer:

$2(\frac{1}{2} *20*50)+2(\frac{1}{2} *20*10)$

Step-by-step explanation:

The formula for the area of a triangle is $\frac{1}{2} *b*h$

The triangles that can be made is the triangle that has legs 20 and 50 and the triangle that has legs 20 and 10.

Since there are 2 of each triangles, we get:

$2(\frac{1}{2} *20*50)+2(\frac{1}{2} *20*10)$

The answer that fits is the first option.

5 0

3 years ago