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Sophie [7]
1 year ago
10

5. Determine the area of the square that would be attached to the hypotenuse of each right triangle. a) 17 cm 26 cm m ^ 2 + 15 ^

2 = c ^ 2 7 cm 967.2 cm b)

Mathematics
1 answer:
FrozenT [24]1 year ago
4 0

Identify and Set Up

This question is a test on the understanding of the Pythagorean theorem.

It states that the square of the length of the hypothenuse of a right angled triangle is equal to a sum of the squares of the other sides.

Our approach, given the length of the other sides, is simply to find the square of the hypothenuse which is a sum of the square of the other 2 sides.

Execute

\begin{gathered} h^2=o^2+a^2 \\ \text{ Where:} \\ h=\text{hypothenuse} \\ o=\text{Opposite side} \\ a=\text{Adjacent side} \end{gathered}

This gives us:

a.

h^2=17^2+26^2=965\operatorname{cm}^2

Area of square with length as hypotenuse = 965 sq cm

b.

h^2=7^2+15^2=274\operatorname{cm}

Area of square with length as hypotenuse = 274 sq cm

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hram777 [196]

Answer:

Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.

3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69

5 0
2 years ago
Solve each equation 11.3 - 7.2f = -3.82
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6 0
3 years ago
Below are the steps to solve an equation:
otez555 [7]

Answer:

x-5=-3

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4 0
3 years ago
A machine shop produces metal frames on two different machines. The average daily production on machine 1 is 300 frames, and the
statuscvo [17]

Answer:

The daily shop productivity is 480 frames

Step-by-step explanation:

The daily machine productivity refers to the TOTAL production made in a day.

The problem says that a shop produces metal on two different machines. It means that you must take into account the daily production of each one for finding the total production.

The first machine produces 300 frames in a day.

The second machine produces 180 frames in a day too.

So, if the first and the second machines are working together in a single day, the TOTAL daily production is the sum of the production of each one.

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4 0
3 years ago
Finished the first one don´t understand these.
Mashutka [201]

Answer:

Let "x" be the number of people who can go to the amusement park.

So we have: 19 + 14x ≤ 180. This inequality basically means that the parking cost plus the cost of the tickets for every person cannot cost more than 180 dollars.

Solving this inequality, we get:

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Obviously, we know that we can't have "half" a person, so the most people who can come to the amusement park would be 11 people, and the answer would be: x ≤ 11

Hope this helps!

4 0
2 years ago
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