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2 years ago

The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number?

Mathematics

2 answers:

Alex73 [517]2 years ago

5 0

Answer: D

Step-by-step explanation:

We can eliminate 7 and 11 because the length has to be longer than 12 (called hypotenuse, it is the longest side of a triangle). And 225 is kind of ridiculous. We can also use the Pythagorean Theorem which applies to all right angle triangles to figure out the hypotenuse, so 9^2 (81) + 12^2 (144) = x^2. So then, 81 plus 144 is about 225. And the square root of 225 is 15, therefore the answer is 15. Hope this helps!

lisabon 2012 [21]2 years ago

3 0

Answer: C) 15

Step-by-step explanation:

Use the Pythagorean theorem

$x^{2}$ = $12^{2}$ + $9^{2}$

$x^{2}$ = $225$

$x = \sqrt{225}$

$x = 15$

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DENIUS [597]

2x+x+47

3x+47

3x+47=x+93

2x+47=93

2x=46

x=46/2

x=23

You must use all the equations that makes up the x. Using all the equations will cover the area than just using part of it.

4 0

3 years ago

Read 2 more answers

ANSWER AND EXPLAIN I’LL MARK BRAINLIEST PLEASE ILL MARK BRAINLIEST

masya89 [10]

Answer:

160 meters

Step-by-step explanation:

Before I begin, note that distance = rate * time (or d = r * t)

To solve this problem, we need to find what point these two people have the same distance. (so Janiyah covers the same distance as Connor)

So, let's set the time that Janiyah takes as x (in seconds). So, he covers

d = r * t, or 8x meters

Then, Connor's equation would be

d = r * t

d = 5x + 60 (because he got a 60 meter headstart)

Because d is the same in both equations, to solve for the amount of time they run:

8x = 5x + 60

Subtract 5x from both sides.

3x = 60

x = 20

Then, to find Janiyah's distance (you can also use Connors because the two distances are equal), put x = 20 into 8x

8x = 8 * 20 = 160

So, Janiyah ran 160 meters.

Just in case, let's check if this is correct. Connor's distance equals Janiyah's, so

5x + 60 = 160

5 * 20 + 60 = 160

100 + 60 = 160

160 = 160

True.

So, the answers are correct.

I hope this helps! Feel free to ask any questions!

3 0

3 years ago

Convert the following systems of equations to an augmented matrix and use Gauss-Jordan reduction to convert to an equilivalent m

Rasek [7]

Answer:

System of equations:

$x_1+2x_2+2x_3=6\\2x_1+x_2+x_3=6\\x_1+x_2+3x_3=6$

Augmented matrix:

$\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]$

Reduced Row Echelon matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]$

Step-by-step explanation:

Convert the system into an augmented matrix:

$\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]$

For notation, R_n is the new nth row and r_n the unchanged one.

1. Operations:

$R_2=-2r_1+r_2\\R_3=-r_1+r_3$

Resulting matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]$

2. Operations:

$R_2=-\frac{1}{3}r_2$

Resulting matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]$

3. Operations:

$R_3=r_2+r_3$

Resulting matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]$

4. Operations:

$R_3=\frac{1}{2}r_3$

Resulting matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]$

4 0

3 years ago

A sales man is paid a basic wage of $225 per week. In addition he is paid a commission of 3% on the value of goods he sells abov

mihalych1998 [28]

Answer:

Commission = $375

Total earnings = $600

Step-by-step explanation:

He gets 3% of any sale he makes above %5500 which means his commission received on this sale is;

= 3% * $12500

= $\frac{3}{100} *$ $12500

= 3* 125

= $375

This means his total earnings for the week will be the basic wage plus his commission

$225 + $375

= $600

3 0

3 years ago

The mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number

MrMuchimi

Answer:

Step-by-step explanation:

The mean is calculated as

mean = $\frac{sum}{count}$

let the third number be x , then

$\frac{18+16+x}{3}$ = 15 ( multiply both sides by 3 to clear the fraction )

34 + x = 45 ( subtract 34 from both sides )

x = 11 ← third number

3 0

3 years ago