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lara [203]
3 years ago
7

The pyramid shown has a square base that is 12 centimeters on each side. The slant height is 18 centimeters. What is the surface

area of the pyramid?
Mathematics
2 answers:
Sav [38]3 years ago
8 0
<span>The <u>correct answer</u> is:

576 sq. cm.

Explanation:

The surface area of a figure is the sum of the areas of the faces of the figure.

The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base <span>of the triangular face, 12 cm.

The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.

There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.

The area of the base is given by length times width, or 12*12 = 144 sq. cm.

This gives us a total surface area of 432+144=576 sq. cm.</span></span>
blagie [28]3 years ago
3 0

Answer:

The total surface area of the pyramid = 576 cm²        

Step-by-step explanation:

The base of the pyramid is square with the side length of 12 cm

So, Area of the base of pyramid = (side)²

                                                      = 12 × 12

                                                     = 144 cm²

Now, to find the area of the triangle : length = 12 cm and height = 18 cm

Area of the triangle = 0.5 × length × height

                                 = 0.5 × 12 × 18

                                 = 108 cm²

So, Area of 4 triangles in the pyramid = 4 × 108

                                                               = 432 cm²

Hence, The total surface area of the pyramid = 144 + 432

                                                                               = 576 cm²

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Answer:

The correct answer is A. $729.98.

Step-by-step explanation:

Given that the purchase price for a house is $ 309,900, to determine what is the monthly payment if you put 20% down for a 30 year loan with a fixed rate of 6%, the following calculation must be performed:

100 - 20 = 80

(309,900 x 0.80) x 1.06 / (30x12) = X

247,920 x 1.06 / 360 = X

262,795.2 / 360 = X

729.98 = X

Therefore, the monthly payments will be $ 729.98.

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x =  \sqrt{12 }  = 2 \sqrt{3}  \: or \\ x =   -  \sqrt{12}  =  - 2 \sqrt{3}

Step-by-step explanation:

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Use the slope formula to find the slope of the line in the graph shown above.
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Step-by-step explanation:

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Suppose that the ages of members in a large billiards league have a known standard deviation of σ = 12 σ=12sigma, equals, 12 yea
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Answer:

n\geq 23

Step-by-step explanation:

-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

n\geq (\frac{z\sigma}{ME})^2

Where:

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We substitute our given values to calculate the sample size:

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3 0
3 years ago
What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

5 0
3 years ago
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