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Ugo [173]
3 years ago
10

Find the missing the side of the triangle A. 130−−−√ m B. 179−−−√ m C. 42–√ m D. 211−−−√ m

Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0

Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side

Using the Pythagoras theorem

That's

{a}^{2}  =  {b}^{2}  +  {c}^{2}

From the question

x is the hypotenuse or the longest side of the triangle

Substituting the values into the above formula we have

{x}^{2}  =  {9}^{2}  +  {7}^{2}

{x}^{2}  = 81 + 49

{x}^{2}  = 130

Find the square root of both sides

We have the final answer as

<h3>x = √130 m</h3>

Hope this helps you

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Need help with this plz
gogolik [260]

Answer:

x =  \frac{ - 24 \pm \sqrt{ - 288} }{4}  \\  =  \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\  =   \frac{ - 24 \pm \sqrt{ - 1}  \sqrt{ {12}^{2} } \sqrt{2}  }{4} \\  =   \frac{ - 24 \pm i 12\sqrt{2}  }{4} \\  =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\=  -  6  \pm \: i3 \sqrt{2}

3 0
2 years ago
The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho
lyudmila [28]

Answer:

  • <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>

Explanation:

<u>Rewrite the table and the choices for better understanding:</u>

<em>Enrollment at a Technical School </em>

Year (x)       First Year f(x)      Second Year s(x)

2009                  785                        756

2010                   740                        785

2011                    690                        710

2012                   732                         732

2013                   781                          755

Which of the following statements is true based on the data in the table?

  • The solution to f(x) = s(x) is x = 2012.
  • The solution to f(x) = s(x) is x = 732.
  • The solution to f(x) = s(x) is x = 2011.
  • The solution to f(x) = s(x) is x = 710.

<h2>Solution</h2>

The question requires to find which of the options represents the solution to f(x) = s(x).

That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.

The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>

Thus, the correct choice is the third one:

  • The solution to f(x) = s(x) is x = 2012.
5 0
3 years ago
Plz Help me<br><br>3x + 5y = 13 <br>2x + y = 4​
Finger [1]

Answer:

solve simultaneously

start by labeling them equation 1 and 2 then choose whether you want to make x or y the subject from knew of the equations

7 0
2 years ago
Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)
satela [25.4K]
The known endpoint is P = (-16,0)

Let Q = (x,y) be the other endpoint. It is unknown for now.

Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0). 

So we have this equation (-16+x)/2 = 0. Let's solve for x

(-16+x)/2 = 0
2*(-16+x)/2 = 2*0
-16+x = 0
x-16 = 0
x-16+16 = 0+16
x = 16

Therefore the x coordinate of point Q is 16.

------------------------------------

Let's do something similar for the y coordinates.

The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16

Solve for y

(0+y)/2 = -16
y/2 = -16
2*y/2 = 2*(-16)
y = -32

The y coordinate of point Q is -32

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)
3 0
3 years ago
What is a decimal that is equivalent to 63/75
eduard

Answer:

0.84

Step-by-step explanation:

Divide 63 by 75 and you get 0.84 (84%).

7 0
2 years ago
Read 2 more answers
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