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Gnesinka [82]
2 years ago
14

a scale drawing of a building needs to be made using the scale 1 in = 190 ft. how tall will the builging in the scale drawing be

if the building is 570 ft tall​
Mathematics
1 answer:
Artist 52 [7]2 years ago
3 0

Answer:

\boxed{\text{3 in}}

Step-by-step explanation:

1 in = 190 ft

x in = 570 ft

We can use ratio and proportion to solve this problem.

\begin{array}{cccl}\dfrac{1}{x} & = & \dfrac{190}{570} & \\\\570 & = & 190x & \text{Mutiplied by lowest common denominator (570x)}\\3 & = & x & \text{Divided each side by 3}\\\end{array}

The building will be \boxed{\textbf{3 in}} tall in the scale drawing.

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3 years ago
Suppose you throw a dart at a circular target of radius 10 inches. Assuming that you hit the target and that the coordinates of
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a) The probability is 0.04

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Step-by-step explanation:

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a) A circle of 2 inches of radius has an area of 2²π = 4π square inches, hence the probability of hitting that area is 4π/100π = 1/25 = 0.04

b) If the dart s within 2 inches of the rim, then it is not at distance 8 inches from the center (that is the complementary event). The probability for the dart to be at 8 inches of the center is 8²π/100π = 64/100 = 16/25 = 0.64, thus, the probability that the dart is at distance 2 or less from the rim is 1-0.64 = 0.36.

c) The first quadrant has an area exactly 4 times smaller than the area of the target (each quadrant has equal area), thus the probability for the dart to fall there is 1/4 = 0.25

d) If the dart is within 2 inches from the rim (which has probability 0.36 as we previously computed), then it will be equally likely for the dart to be in either of the 4 quadrants (the area that is within 2 inches from the rim forms a ring and it has equal area restricted on each quadrant). Therefore, the probability for the dice to be in the first qudrant and within 2 inches from the rim is 0.36*1/4 = 0.09.

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3 years ago
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kvv77 [185]
Hello There =)

Commutative property is used. The commutative property <span>states that two numbers can be multiplied in either order.</span>


5 0
2 years ago
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