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sammy [17]
3 years ago
14

Find the length of the missing side

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0

Answer:

c = 17

Step-by-step explanation:

Since this is a right angle triangle we can use the Pythagoras theorem that states that c^{2} = a^{2} + b^{2} (where c is the Solve for  hypotenuse and "a" and "b" are the legs of the right angle triangle). From here we know that the answer to this question is....

c^{2} = a^{2} + b^{2}\\c^{2} = 15^{2} + 8^{2} \\c^{2} = 225 + 64\\c^{2} = 289\\c = \sqrt{289} \\c = 17

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Math practice <br> Will give brainest if correct
svetoff [14.1K]

Answer:

x > 24

Step-by-step explanation:

12 + 12 = 24

5 0
3 years ago
Three ballet dancers are positioned on stage. Elizabeth is straight behind Hannah and directly left of Manuel. If Hannah and Eli
ki77a [65]

Answer: Elizabeth and Manuel have a distance of 4 meters between them.

Step-by-step explanation: Please refer to the picture attached.

From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.

We shall apply the pythagoras theorem in solving for the unknown side, EM.

The Pythagoras theorem states thus;

AC² = AB² + BC²

Where AC is the hypotenuse, and AB and BC are the other two sides.

Substituting for the known values, we now have;

5² = 3² + EM²

25 = 9 + EM²

Subtract 9 from both sides of the equation

16 = EM²

Add the square root sign to both sides of the equation

√16 = √EM²

4 = EM

Therefore the distance between Elizabeth and Manuel is 4 meters

8 0
3 years ago
Find the median of the following set of data:
Troyanec [42]

Answer:

b

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

Arrange the data in ascending order

48, 52, 54, 57, 57, 57, 61, 61, 65

                          ↑

The median of the data set is 57 → b

3 0
3 years ago
Sonali invests 15% of her monthly salary in insurance policies.
strojnjashka [21]

Answer:

₹42,500

Step-by-step explanation:

Let Sonali's monthly income be ₹x

<h2>According to the question </h2>

15\% \:ofx + 55\% \: of \: x + 12750 = x

=  >  \frac{15}{100} x +  \frac{55}{100} x + 12750 = x

=  >  \frac{70}{100} x + 12750 = x

=  > 12750 = (1 -  \frac{70}{100} )x

=  > 12750 = 30x

=  > x =  \frac{12750 \times 10}{3}

=  > 42500

So your answer will be ₹42,500.

3 0
2 years ago
Read 2 more answers
There are 2 pens for every 9 pencils. There is a total of 16 pens in the classroom. How many pencils are in the classroom? *
Serggg [28]
I would say that it is 81. I hoped this helped and the steps are first what is 16 divided by 2 is 9 then you do 9 times 9 witch is 81.
3 0
3 years ago
Read 2 more answers
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