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german
3 years ago
5

The shorter leg of a right triangle is 7 centimeters nbspless than the other leg. Find the length of the two legs if the hypoten

use is 13 centimeter

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

Answer:

The shorter leg of the right triangle is 5\ cm

The other leg of the right triangle is 12\ cm

Step-by-step explanation:

Let

x-----> the shorter leg of a right triangle

y----> the larger leg of a right triangle

we know that

Applying the Pythagoras Theorem

13^{2}=x^{2} +y^{2} ----> equation A

x=y-7 ----> equation B

substitute equation B in equation A and solve for y

13^{2}=(y-7)^{2} +y^{2}\\169=y^{2} -14y+49+y^{2} \\2y^{2}-14y-120=0

using a graphing tool----> solve the quadratic equation

The solution is y=12\ cm

see the attached figure

Find the value of x

x=12-7=5\ cm

therefore

The shorter leg of the right triangle is 5\ cm

The other leg of the right triangle is 12\ cm

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Step-by-step explanation:

We have functions of r(θ)

In our graph, we can see that the minimum value of r is when θ = 0°, and the maximum value is when θ = 180°.

We also know that the graph is in the square (-5, 5)x(-5, 5) and you can see that the maximum radius is almost less than 5.

Then let's analyze the options:

A) r = 3 - 2*cos(θ)

the maximum is at the right angle, but the maximum is:

r = 3 -2*(-1) = 5, so this maximum value is bigger than the one in the graph.

B) r = 3 - sin(θ)

For the sin functions, the maximum and minimum do not correspond with the values i write earlier, so we can discard this option.

C) r = 3 - cos(θ)

The maximum is: r = 3 - (-1) = 4, so this may be the correct answer.

the minimum is r = 3 - 1 = 2,

this is a possible equation for our circle.

D) r = 2 - 2*cos(θ)

Here, when θ = 0, we have: r = 2 - 2*1 = 0, but in the graph we can see that the radius is not 0 when θ = 0, so we can discard this option.

So the only option that makes sense is option C.

8 0
3 years ago
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xenn [34]
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2 years ago
The width-to-height ratio of a certain computer monitor
Mnenie [13.5K]
<h2>24 inches</h2>

Step-by-step explanation:

It is given that \frac{\textbf{width of computer monitor}}{\textbf{height of computer monitor}}=\frac{16}{9}

It is given that \text{height of computer monitor}=13.5

\text{width of computer monitor} =\text{height of computer monitor}\times \frac{16}{9}

\text{width of computer monitor}=13.5\times \frac{16}{9} =\frac{216}{9} =24

Hence the required width in inches is 24.

5 0
3 years ago
Simplifly the expression 2(x - 5)
defon

Answer:

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Step-by-step explanation:

2(x - 5)

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2 years ago
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valkas [14]

Answer:

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6 0
3 years ago
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