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trasher [3.6K]
3 years ago
9

Tony is installing a new doorway to his back yard. He cuts a hole into his back wall, but it must

Mathematics
2 answers:
Andrew [12]3 years ago
8 0

Answer:

Yes, Tony did succeed in cutting a rectangle with right angle corners.

Step-by-step explanation:

If the cut rectangle has right angle corners, then the Pythagorean theorem would work.

Verify using the Pythagorean theorem.

7.5^2+4^2 = 8.5^2

72.25 = 72.25

The two sides of the equations are equal, so the Pythagorean theorem works.

Therefore, Tony did succeed in cutting a rectangle with right angle corners.

mixas84 [53]3 years ago
4 0

Step-by-step explanation:

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The product of two rational numbers is 34.77. If one of the numbers is 6.1, what is the other number?
erik [133]

Answer:

5.7

Step-by-step explanation:

6 0
3 years ago
Taryn bought 12.6 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the numbe
Alina [70]

Answer:

<h2> Amount in liters is 47.9 liters</h2>

Step-by-step explanation:

The Question is incomplete, it does not provide the measurements or options to choose from, but we can estimate the answer

Step one:

Given data

Taryn Bought 12.6gallons of gasoline

1 gallon of gasoline is  3.8 liters

We want to convert from gallons to liters

Step two:

----if 1 gallon has 3.8 liters

then 12.6 gallons will have x liters

cross multiply we have

x= 12.6*3.8

x=47.88 liters

Hence the estimated amount in liters is 47.9 liters

8 0
2 years ago
A brass ornament has a volume of 24cm^3.
dedylja [7]

For this case we have that by definition, the density is given by:

d = \frac {M} {V}

Where:

M: It is the mass

V: It is the volume

According to the data of the statement we have:

V = 24 \ cm ^ 3\\d = 8.7 \frac {g} {cm ^ 3}

So, the mass is given by:

M = d * V\\M = 24 \ cm ^ 3 * 8.7 \frac {g} {cm ^ 3}\\M = 208.8 \ g

Thus, the mass of the brass ornament is208.8 \ g

Answer:

208.8 \ g

3 0
3 years ago
4 (5x-3) -64 (3-x) -3 (12x-4)=96
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Cathy earns $32 after babysitting for 5 hours. How much money does she earn per hour?
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