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lisabon 2012 [21]
3 years ago
5

A building is in the shape of a square pyramid. Each side of the base is 54 meters long and the height is 260 meters.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0
Check the picture below.

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A parallelogram has a 70 degree angle and sides 6 cm and 10 cm long. How long are its diagonals?
Verdich [7]
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm

The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.

Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
6 0
3 years ago
Write the equation of the line perpendicular to y=5/6x+2/3 that passes through the point (-3,5)
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Answer:

y=-6/5x+7/5

Step-by-step explanation:

1. Take opposite reciprocal of slope from 5/6 -> to -6/5

2. Plug in points with the new slope into point slope form and solve for slope intercept form. y=-6/5x+7/5

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3 years ago
The perimeter of a given rectangle is equal to the circumference of a given circle. The circle has radius 30 inches; the width o
Arte-miy333 [17]
The answer to this question will be E
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Which value of x is in the solution set of the following inequality?
andreyandreev [35.5K]

Answer:

C. 1

Step-by-step explanation:

Multiply every answer until you get an answer more than 6, and in this case it was C

4 0
3 years ago
Pre-Calc :
nikitadnepr [17]
The answer is 
x=2t and t=x/2, but we have <span>y = 3t -1
so </span><span>y = 3(x/2) -1
so y = 3x/2  - 1</span>
5 0
3 years ago
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