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Alexandra [31]
3 years ago
12

Need help with this asap!!

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

Answer:

≈ 53.7° (Option 3)

Step-by-step explanation:

In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.

Length of side opposite to angle 'x' = 15 cm

Length of side adjacent to angle 'x' = 11 cm

Using 'tan' formula - \tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x} , lets solve this.

=> \tan x = \frac{15}{11}

Using inverse tan function , lets find x.

=> x = {\tan}^{-1}(\frac{15}{11} ) ≈ 53.74°

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The sale price of the coats is 160% of the purchase price of the coats.

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

The owner buys the coats at a purchase price= $60

He sells the coats for a selling price= $96

Now, the question is:

The selling price $96 is what percentage of the purchase price $60

<u>step 1</u>: 96= x% of 60

<u>step 2</u>: 96= (x/100)*60

<u>step 3</u>: 96= 6x/10

<u>step 4</u>: 960/6 = x

<u>step 5</u>: x = 160%

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3 years ago
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Answer:

See answers below

Step-by-step explanation:

If 4 coins are tossed. the total possible outcomes are;

H H H H , H H H T, H H T H, H T H H, T H H H , H H T T, H T T H, T T H H, H T H T, T H T H, T H H T , H T T T, T H T T, T T H T, T T T H  and T T T T

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1) zero head = T T T T = 1 outcome

Probability = Expected/Total outcome

Pr(zero head) = 1/16

2) one head = H T T T, T H T T, T T H T, T T T H   = 4 outcomes

Probability = Expected/Total outcome

Probability = 4/16

Pr(one head) = 1/4

3) two heads = H H T T, H T T H, T T H H, H T H T, T H T H, T H H T   = 6 outcomes

Probability = Expected/Total outcome

Pr(two head) = 6/16

Pr(two head) = 3/8

4)  three heads = H H H T, H H T H, H T H H, T H H H   = 4 outcomes

Probability = Expected/Total outcome

Pr(three heads) = 4/16

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5) four heads appearing on the four coins =  H H H H = 1 outcome

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2 years ago
A scale for a drawing is 5 centimeters= 1 meter. What is the scale in terms of centimeter to centimeters
umka2103 [35]

The scale in cm to cm is:

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Step-by-step explanation:

Scales are used to draw maps and blueprints of large objects on paper.

Given scale is:

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As there are 100 centimeters in a meter

So,

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Simplifying:

The scale in cm to cm is:

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Keywords: Scale, factors

Learn more about scales at:

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<h3>What is the sum of all the angles of a regular polygon?</h3>

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We already know that a 4-sided polygon's angles add up to 360 degrees.

So to find the value of x:

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For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.

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