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torisob [31]
2 years ago
15

Help help /ayuda ayudaaa༎ຶ‿༎ຶ!!!!!!!!!!!!

Mathematics
1 answer:
guapka [62]2 years ago
5 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem

Base² + altitude² = hypotenuse²

Base² + 7² = 20²

Base² + 49 = 400

Base² = 400 - 49 = 351

Base = √351 = 18.73 = 18.7 mm

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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
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Convert 53 yards per hour into inches per day
marin [14]

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4 0
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What is the solution to the equation x - 5 = 15?
Nonamiya [84]

Answer:

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The mathematical expression of the given complex number above is -5 + 4i. The conjugate of this complex number is that which has an opposite operation. The given is an addition operation. That is -5 - 4i. Therefore, the answer is the third among the choices. 
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Dennis_Churaev [7]
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