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vichka [17]
3 years ago
8

Use the elimination method to solve the system of equations. Choose the correct ordered pair.

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0
I think the answer will be C
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What is the surface area of this composite solid?______________ square feet 242 319 363 517
jeka57 [31]

Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

V_{prims}=11 \times 11 \times 2=242 \ ft^{3}

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

7^{2}=h^{2} +(5.5)^{2}\\  49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3

The height is 4.3 feet, approximately.

Now, we find the volume of the pyramid

V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}

The sum of both figures represents the total volume of the composite figure

V_{total}=242+173.4=415.4ft^{3}

Therefore, the right answer is 415.4 cubic feet.

3 0
3 years ago
Read 2 more answers
The formula for the volume of a cone is V=1/3 pi r2h the radius r of the cone may be expressed as
Naily [24]

r = √(3V/πh)

multiply both sides by 3 to eliminate the fraction

πr²h = 3V ( divide both sides by πh )

r² = 3V/ πh ( take the square root of both sides )

r = √(3V/πh)


3 0
2 years ago
Read 2 more answers
-6x²-11x-4 which equatin is equivalent
taurus [48]
-(2x+1)(3x+4)
It’s just a guess??
5 0
3 years ago
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Draw a number line that shows two equivalent fractions.label your number line and explain how you know the fractions are equival
Setler79 [48]

Answer:

It is required to draw a number line showing equivalent fractions.

'Equivalent fractions' are the fractions having same value even though the digits involved are different'.

For example: Consider, \frac{1}{2} and \frac{2}{4}.

Now, we have,

\frac{1}{2} = 0.5

\frac{2}{4} = 0.5

Thus, the both fractions have the same value, even though we are dividing different digits.

Thus, \frac{1}{2} and \frac{2}{4} are called equivalent fractions.

So, we plot them on the number line, resulting in the following figure with point P = 0.5.

6 0
3 years ago
Es in a restaurant and earn $5.15/hr. How many hours must you work in order to make at least $200 to buy your ne
exis [7]

Answer:

About 39 hours

Step-by-step explanation:

You would do 200/5.15 and get 38.83....

If you round then you get 39.

4 0
3 years ago
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