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4vir4ik [10]
3 years ago
6

What is the length of the third side of the window frame below?

Mathematics
2 answers:
deff fn [24]3 years ago
7 0
A^2+b^2=c^2
42^2+b^2=58^2
1764+b^2=3364
b^2=3364-1764
b^2=1600
square root b^2=square root 1600
b=40 inches
Artist 52 [7]3 years ago
7 0

Answer:

Option A. 16 inches

Step-by-step explanation:

Since in a right angle triangle Pythagoras theorem is applicable.

Base² + height² = Hypotenuse²

In the given window frame height = 42 inches and hypotenuse = 58 inches

Therefore by Pythagoras theorem

58² = 42² + Base²

Base² = 58² - 42² = 3364 - 1764 = 1600

Base = √1600 = 40 inches

Therefore Option A. 40 inches is the answer.

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viktelen [127]


14x+2=12x

[subtract 2 on both sides]

14x=12x-2

[subtract 12x on both sides]

2x=-2

[divide 2 on both sides]

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3 years ago
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Susan paid $15.84 for a 7.48 - kg bag of dog food. A few weeks later, she paid $16.58 for a 7.94 - kg bag at a different store.
barxatty [35]

The unit price for the 7.48 is $2 kg per bag and the unit price for the 7.94 is $2 per kg bag, there is no difference in unit rates of both the bag.

<h3>What is unit rate?</h3>

A unit rate means a rate for one of something.

Given that, Susan paid $15.84 for a 7.48 kg bag of dog food. A few weeks later, she paid $16.58 for a 7.94 kg bag at a different store.

15.48/7.48 = $2/kg

16.58/7.94 = $2/kg

Hence, there is no difference in between both the bags, hence either of them are better.

For more references on unit rates, click;

brainly.com/question/11258929

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4 0
1 year ago
Two dices are thrown. Find the probabilty of getting:
horsena [70]

Answer:

(A) 2/12 or 1/6. (B) 2/12 or 1/6 (C) 4/12 or 1/3.

Step-by-step explanation:

7 0
2 years ago
What's 15% off $17.98
erastova [34]
Your answer is $15.28.

I hope that this helps and have a nice day.
4 0
3 years ago
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The masses to the nearest kilogram of nine men were:
serious [3.7K]

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

75+68+78+82+85+90+88+92+76=\\734

Step 2, dividing by the # of terms:

There are 9 terms in total.

\frac{734}{9} =\\81.556

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was \fbox{82} kg.

<em>I hope this helps! Let me know if you have any questions :)</em>

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3 years ago
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