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il63 [147K]
3 years ago
5

For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid

is 12 inches tall. What is the surface area of the model? square inches

Mathematics
2 answers:
jeka57 [31]3 years ago
6 0
The surface area of a pyramid may be calculated using the formula:
Area = length * width + length*√[(width/2)² + height²] + width*√[(length/2)² + height²]

In this case, the base of the pyramid is a square, which means that the length and the width are equivalent.
Therefore, the equation simplifies:
Area = l² + 2l√[(l/2)² + h²]

Now, we substitute the values into the equation:
A = 10² + 2*10*√[(10/2)² + 12²]
A = 360

The surface area of the pyramid is 360 square inches.
Varvara68 [4.7K]3 years ago
3 0
The pyramid is shown in the diagram below.
The pyramid is built from four congruent triangles and one square as the base

We have the side of the square, so the area is = 10×10 = 100

We need the height of the triangle to work out its area. We can find out by using the height of the pyramid and half of the length of the side of the square.

Using the Pythagoras rule
Height of triangle = \sqrt{12^{2}+ 5^{2} } =13

Area of one triangle = 1/2×10×12=60
Surface area of the pyramid = 100 + (4×60) = 340 square inches

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What is the slope of the line that is parallel to y=3x-4
kipiarov [429]

Answer:

3 also could be said as 3/1

Step-by-step explanation:


6 0
2 years ago
A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
Rainbow [258]

angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

c^2 = a^2 + b^2 - 2ab (cosx)

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ c^2 = a^2 + b^2 - 2ab (cosx)

⇒ c^2 -a^2 - b^2 = -2ab (cosx)

⇒ (cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}

⇒ (cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}

⇒ (cosx) =0.18310

⇒ cos^{-1}(cosx) = cos^{-1}(0.18310)

⇒ x = 79.45

The Law of Sines (or Sine Rule) is very useful for solving triangles:

\frac{a}{sin A} = \frac{ b}{sin B} =  \frac{c}{sin C}

We can now find another angle using the sine rule:

⇒\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}

⇒sin Y = \frac{(7.5 (sin 79.45))}{  8.6}

⇒Y = 59.02 degrees

So, the third angle =180 - 79.45 - 59.02 = 41.53 degrees.

Therefore, angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

4 0
3 years ago
Plz help me on number 4 thank u so much math people
Anna [14]
A)5.17
B)10.86
<em>I hope this helps</em>
5 0
2 years ago
LAST QUESTION ON MY TEST PLEASE HELP
Kipish [7]

Answer:

x = 8

Step-by-step explanation:

For this question, you can use power of a point, more specifically when two secants intersect in the interior of a circle. From this, you get the equation:

(7 + x)(12) = (10)(2x + 2)

You can simplify and solve:

84 + 12x = 20x + 20

84 = 8x + 20

64 = 8x

x = 8

4 0
2 years ago
What is the answer to 10lb 6oz- 7lb 11oz
sweet-ann [11.9K]
1 lb = 16 oz
Translating the unit into oz gives us
166oz - 123oz = 43oz or 2lb 11oz

3 0
2 years ago
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