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Nadya [2.5K]
2 years ago
15

Kate just bought a tv that measures 42 inches diagonally, and is 18 inches tall. She wants to place the tv into a 40 inch wide c

abinet. Will the tv fit and if so, how much room will be left (width) in the cabinet after the tv is placed?
Mathematics
1 answer:
VLD [36.1K]2 years ago
3 0

9514 1404 393

Answer:

  yes, about 2.05 inches

Step-by-step explanation:

The Pythagorean theorem can be used to find the width of the TV.

  w^2 +h^2 = d^2

  w = √(d^2 -h^2)

  w = √(42^2 -18^2) = √1440 = 12√10

  w ≈ 37.95 . . . inches

This dimension is less than 40 inches by a margin of ...

  40 -37.95 = 2.05 . . . inches

The TV will fit, with 2.05 inches of space remaining.

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Ravi is riding his bicycle. He takes 6 hours to ride 76.8 kilometers. What is his speed?
Volgvan

Answer:

12.8km/hr

Step-by-step explanation:

Distance = 76.8km

Time = 6 hours

Speed = distance ➗ time

Speed = 76.8km ➗ 6 hours

Speed = 12.8km/hr

I hope this was helpful, Please mark as brainliest

7 0
3 years ago
Mr. Nordman gets a commission of $2.30 on each pair of women's shoes he sells, and a commission of $3 on each pair of men's shoe
Alina [70]

Answer:

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

Step-by-step explanation:

Lets the number of men's shoes he sells be x and women's shoes be y.

For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .

He needs to sell atleast 10 women's shoes and 5 men's shoes.

Also he needs to make atleast $60 per week.

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

These are are the 3 required inequalities.

Now we will see an example.

If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.

He will make a total profit = 2.3\times 20 + 3\times 10 =$76

8 0
2 years ago
Helpppppppp pweaseeeee
AlladinOne [14]

length=6

breath=15

height=12

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6 0
3 years ago
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Apple pies cost $5.75 each and cherry pies cost $6.50 each.Susan bought nine pies for a total cost of $53.25.There is no tax cha
Tanzania [10]

5.75a + 6.5c = 53.25

a + c = 9

c = 9 - a

5.75a + 58.5 - 6.5a = 53.25

5.25 = 0.75a

a = 7

7 + c = 9

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7 0
2 years ago
Marley runs 5 yards down the track from point A to point B, and then stops and runs
julia-pushkina [17]

Answer:

\sqrt{61}=AC or 7.8102=AC

Step-by-step explanation:

If we connect a line from point A to point C we create a triangle, and we can use pythagorean theorem to find this distance. So the line from point A to point C will be our hypotenuse and the other two distances will be out side lengths.

5^{2}+6^{2}=AC^{2}

25+36=AC^{2}

61=AC^{2}

\sqrt{61}=AC or 7.8102=AC

3 0
3 years ago
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