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Aliun [14]
3 years ago
14

|25 POINTS| Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. N

ow, if the length of the base is increased to 15 meters, what is the difference in the surface area between the new pyramid and the old pyramid?
125 meters squared.
525 meters squared.
600 meters squared.
400 meters squared.
Mathematics
1 answer:
laiz [17]3 years ago
3 0

Answer:

125 meters squared

Step-by-step explanation:

Surface area of initial pyramid:

  • A= 10²+4*1/2*10*15= 400 m²

Surface area of extended pyramid:

  • A= 10*15+2*1/2*15*15+2*1/2*10*15= 525 m²

The difference is:

  • 525- 400= 125 m²
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Luden [163]
The area would be 83.67 cm.

A semicircle is half of a circle.  The perimeter of the semicircle would be half of the perimeter (circumference) of the entire circle.  The formula for circumference is:

C=πd

Using our information, we have  

22.92 = 0.5(3.14)d
22.92 = 1.57d

Divide both sides by 1.57:

22.92/1.57 = 1.57d/1.57
14.6≈d

Since the diameter is 14.6, the radius is 14.6/2 = 7.3.

We use the radius for the area of the semicircle:

A=0.5πr²
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3 0
3 years ago
Hello, happy Friday, I am just here with some geometry questions.
irga5000 [103]

Answer:

VW = 43.2

Step-by-step explanation:

First, we can see that VZ = 88 - 55 = 33.

Then by the Triangle Proportionality Theorem, we can write that:

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Simplify:

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Cross-multiply:

216=5VW

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3 0
3 years ago
A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture
OleMash [197]

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

(12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25

Taking square root on both sides

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ss7ja [257]

Answer:

23) option c

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25) option c

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Step-by-step explanation:

<h3>25)</h3>

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y = 9/cos(21°)

y = 9.64

y ≈ 9.6(nearest tenth)

<h3>23)</h3>

Given in the question that the hypotenuse of right angle triangle = 12

To find,

height of the right angle triangle

angle k = 39°

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