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ipn [44]
3 years ago
15

A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.8 The slant height of the pyramid i

s 89.9 What is the height of the​ pyramid?
Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0

the slant height would be the hypotenuse of a right triangle. 1/2 the length of the base would be one side of a right triangle. Use the Pythagorean theorem to find the height:


89.9^2 = 9.9^2 + x ^2

8082.01 = 98.01 + x^2

X^2 = 8082.01-98.01

X^2 = 7984

X = sqrt(7984)

X = 89.35

Round to 89.4

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8 0
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Write a word phrase for each algebraic expression:
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1. Twelve increased by a number a 
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7 0
3 years ago
Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)
Nataly [62]

9514 1404 393

Answer:

  y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

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  m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

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4 0
2 years ago
Can anyone please help me with this question? : A target consists of two concentric circles. The larger circle has diameter 1m.
11111nata11111 [884]
We know that
if  <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then 
the area of the blue circle is equal to the area of the green region

Let
x----> diameter of the blue circle

area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1

area of the green region=area of the larger circle-area of the blue circle
area of the green region=pi*(1/2)²-(pi/4)*x²
=(pi/4)-(pi/4)*x² m²----> equation 2

equate equation 1 and equation 2
(pi/4)*x²=(pi/4)-(pi/4)*x² -----> divide by (pi/4)---> x²=1-x²
2x²=1-----> x²=1/2----> x=1/√2-----> x=√2/2 m

the diameter of the blue circle is √2/2 m


5 0
3 years ago
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