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zimovet [89]
2 years ago
6

Help plzzzzzzzzzzzzzzzzzzzzz

Mathematics
1 answer:
prohojiy [21]2 years ago
3 0

Answer:

c = {\boxed{\boldsymbol{29}}} km

Step-by-step explanation:

Here's the required formula to find the missing side of triangle by pythagoras theorem :

{\longrightarrow{\pmb{\sf{{(a)}^{2} + {(b)}^{2} = {(c)}^{2}}}}}

  • \purple\star a = 20 km
  • \purple\star b = 21 km
  • \purple\star c = ?

Substituting all the given values in the formula to find the third side of triangle :

\begin{gathered} \quad{\longrightarrow{\sf{{(a)}^{2} + {(b)}^{2} = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{{(20)}^{2} + {(21)}^{2} = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{(20 \times 20) + (21 \times 21) = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{(400) + (441) = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{400 + 441 = {(c)}^{2}}}}  \\  \\ \quad{\longrightarrow{\sf{841= {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{c =  \sqrt{841}}}} \\  \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{c = 29 \: km}}}}}}\end{gathered}

Hence, the length of missing side of triangle is 29 km.

\rule{300}{2.5}

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scoray [572]
This question is based on the concept of
amount of interest. Therefore, 22,234 would be
the population after 11 years, to the nearest
whole number.
Given:
A town has a population of 13000 and grows at
5% every year.
We need to determined the population after 11
years, to the nearest whole number.
We know that,
Formula =A = P(1+ r)
Where, p be the population. r is the rate and t is
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P= 13000,
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†= 11
Now put all these values in formula.
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5
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5 0
2 years ago
Diego is thinking of two positive numbers. He says, 'If we triple the first number and double the second number, the sum is 34.'
UNO [17]

1st number: 0

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Answer

Step-by-step explanation:

3x+2y=34 x is the first number, y is the second.

1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.

x+4y=68 solve for x.

x=68-4y add this into the first equation to solve for variable y.

3(68-4y)+2y=34 solve for y.

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8 0
3 years ago
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Answer:

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Hope that helped.

5 0
3 years ago
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the area of a trapezoid is 780 cm squared. the shorter base is 48 cm and the height is 15 cm. Find the length of the other base
Anna35 [415]
If you multiply 48cm times 15cm,you get 720cm.Which would leave you with 60 left because 780 minus 720 equals 60.The height of the other base is 60cm.
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3 years ago
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ivolga24 [154]

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

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We now have 4/6.

We now reduce 4/6.

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Final answer: 2/3

7 0
3 years ago
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