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Andru [333]
1 year ago
7

Find the length of the third side. If necessary, round to the nearest tenth.914

Mathematics
1 answer:
Zina [86]1 year ago
4 0

The given trinagle is a right angle triangle. let the missing side be x. To find x, we would apply the pythagorean theorem which is expressed as

hypotenuse^2 = one leg^2 + other leg^2

From the triangle,

hypotenuse = 14

one leg = 9

other leg = x

Thus, we have

\begin{gathered} 14^2=9^2+x^2 \\ 196=81+x^2 \\ x^2\text{ = 196 - 81 = 115} \\ x\text{ = }\sqrt[]{115} \\ x\text{ = 10.72} \end{gathered}

To the nearest tenth, the length of the third side is 10.7

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Each of the walls in Harvey’s shed are square and have an area of 84 square feet. What is the approximate height, to the nearest
Snowcat [4.5K]

Answer:

9 ft

Step-by-step explanation:

Here, we have a square wall with a value of 84 square feet for the area and we are told to find the approximate height of the walls

Mathematically, the area of a square is L^2

The height of the walls is just as one of its side

Thus;

L^2 = 84

L = √(84)

L = 9.165

which to the nearest foot is 9 ft

6 0
2 years ago
Eight rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other ro
Brums [2.3K]

Answer:

9.11*10^-4 %

Step-by-step explanation:

To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.

For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320

In order to find the total amount of ways to place the rooks, you can just use a combinatoric:

\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9

Then:

P = \frac{40320}{4.43*10^9}*100\%=9.11*10^{-4}\%

5 0
3 years ago
20,000 pounds equals how many English tons?
kkurt [141]
<span>2,000 pounds are a short ton also sometimes referred to as an English ton. Your 20,000 pounds are therefore 10 short tons. By contrast the Metric ton is 1,000 kg or 2,204 American pounds. 2000 pounds = 1 short ton 2240 pounds = 1 long ton</span>
4 0
3 years ago
What is hs the answer to this question?<br><br> Y= 5x+5<br> Y - x=5
ANEK [815]
Y = 5x + 5
y - x = 5

You can use substitution to solve this system. Use y's expression (5x + 5) for y in the second equation to solve for x:

y - x = 5
5x + 5 + x = 5
6x + 5 = 5
6x = 0
x = 0

Substitute your value for x into one of the original equations to y:

y = 5x + 5
y = 5(0) + 5
y = 5

Finally, substitute both values into both original equations to check your work:

5 = 5(0) + 5    -->    5 = 5    <--True
5 - 0 = 5    -->    5 = 5    <--True

Answer:
x = 0
y = 5
3 0
3 years ago
What is the least common denominator of 3/20 and 9/40?
brilliants [131]
Since 20 is a factor of 40, the least common denominator of 3/20 and 9/40 is 40.
7 0
3 years ago
Read 2 more answers
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