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Sedbober [7]
4 years ago
9

A pyramid has a square base with area 225 square centimeters. It has four faces that are congruent isosceles triangles. The heig

ht of each triangle is 12 centimeters. Find the surface area of the pyramid.

Mathematics
1 answer:
aleksley [76]4 years ago
3 0

We know that total surface area is the area of of the base + area of all the walls + area of the top

here we are working with a pyramid whose base is a square but the wall are four triangles

as triangles are connected on the top , there would be no top area ( as the top would be a point ( where all four triangles are being join )

so total area is = area of base + area of four walls ( triangles here )

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Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr
drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

AC^2= AB^2+BC^2

\Rightarrow (x+3)^2=x^2+8^2

\Rightarrow x^2+6x+9=x^2+64

\Rightarrow 6x=64-9=55

\Rightarrow x=55/6=9.17 chi.

Hence, the height of the pole, AB=x=9.17 chi,

and the length of the rope, x+3=9.17+3=12.17 chi.

8 0
3 years ago
Find values for the the entries in the second matrix to satisfy this equation:
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

number of columns of A=number of rows of B

number of rows of A=number of rows of C

7 0
4 years ago
3x^2+24x+9=0 in vertex form (completing the square)
Drupady [299]

Answer:

I tried everything and either I'm doing it wrong or you wrote this wrong

Step-by-step explanation:

6 0
3 years ago
Solve<br> 6x−10(x+12)=−4x−24<br> Show your work.
gladu [14]

6x - 10(x + 12) = -4x - 24

<em><u>Distributive property.</u></em>

6x - 10x - 120 = -4x - 24

<em><u>Add 10x to both sides.</u></em>

6x - 120 = 6x - 24

<em><u>Cancel like terms.</u></em>

<em>Add 24 to both sides.</em>

-96 ≠ 0.

This equation is incorrect, as -96 will never be equal to 0.

7 0
3 years ago
Write the equation in slope-intercept form: 4x -2y =12
DedPeter [7]

4x - 2y = 12 \\   \:  \:  \:  \:  \:  \:  \frac{ - 2y}{ - 2}  =  \frac{ - 4x}{ - 2}  \:  +  \frac{12}{ - 2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: y = 2x - 6

Therefore, the answer is 1) y = 2x - 6

3 0
3 years ago
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