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larisa [96]
3 years ago
7

4. Find the value of x in the right triangle below. 60°

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

  12

Step-by-step explanation:

It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...

  1 : √3 : 2

Then the sides marked will have the ratio ...

  6 : x = 1 : 2 = 6 : 12

  x = 12

_____

You can also get there using trigonometry.

  cos(60°) = 6/x

  x = 60/cos(60° = 60/0.5

  x = 12

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What number is 16% of 32
Sav [38]
Is     16
of     100

x    16
32  100 

5.12

7 0
3 years ago
I need helping answering 15. I need to create a table and graph the function.
Alekssandra [29.7K]

ANSWER and EXPLANATION

We want to order the functions from widest to narrowest:

\begin{gathered} y=3x^2 \\ y=2x^2 \\ y=4x^2 \end{gathered}

To do this, we have to plot the graphs of the functions by using a table of values.

Let us find the values of the functions for values of x = -2, 0, 2

For the first function:

\begin{gathered} y=3x^2 \\ \Rightarrow x=-2: \\ y=3(-2)^2=3*4 \\ y=12 \\ \Rightarrow x=0: \\ y=3(0)^2=3*0 \\ y=0 \\ \Rightarrow x=2: \\ y=3(2)^2=3*4 \\ y=12 \end{gathered}

Hence, its table is:

For the second function:

\begin{gathered} y=2x^2 \\ \Rightarrow x=-2: \\ y=2(-2)^2=2*4 \\ y=8 \\ \Rightarrow x=0: \\ y=2(0)^2=2*0 \\ y=0 \\ \Rightarrow x=2: \\ y=2(2)^2=2*4 \\ y=8 \end{gathered}

Hence, its table is:

For the third function:

\begin{gathered} y=4x^2 \\ \Rightarrow x=-2: \\ y=4\left(-2\right)^2=4*4 \\ y=16 \\ \Rightarrow x=0: \\ y=4(0)^2=4*0 \\ y=0 \\ \Rightarrow x=2: \\ y=4(2)^2=4*4 \\ y=16 \end{gathered}

Hence, its table is:

Now, let us plot the graphs of the functions:

Therefore, from the graph, we see that the order of the functions from widest to narrowest is:

y=2x^2;y=3x^2;y=4x^2

4 0
1 year ago
100000/222<br>solve with proper steps and find the remainder​
Mrac [35]

Answer: 450 rest 100

Step-by-step explanation:

So, we need to calculate this division 100.000/222 and get the rest.

Well, 222 enters in 1000 by 4 times.

222 times 4 is 888

So, 100.000/222 = 4

       888-

We subtract 888 from 1000.

That will be 112

100.000/222 = 4

888

  112

Now, get the next 0 down next to 112

100.000/222 = 4

888

 1120

222 get in 1120 by 5 times.

5 times 222 = 1110

divide 1120 by 1110

100.000/222 = 45

888

 1120

 1110

That will be 10

100.000/222 = 45

888

 1120

 ==10

Get the next zero down

100.000/222 = 45

888

 1120

 ==100

222 gets in 100 by 0 times.

100.000/222 = 450

888

 1120

 ==100

         0

100 subtracted by 0 is 100

100.000/222 = 450

888

 1120

 ==100

         0

     100

The rest is 100 and the result is 450

Now, you can do the verification:

222 time 450 is 99,900.

If you add the rest to 99,900 it will be 100.000. So the result is good

 

5 0
2 years ago
An angle is formed by two ___. A) rays. B) parallel lines. C) parallel line segments. D) skew lines.
LenKa [72]
An angle is formed by two rays.
8 0
4 years ago
Round 713,949 to the nearest hundred
TEA [102]

Answer:

<em>713,900</em>

Step-by-step explanation:

713,<u><em>9</em></u>49

The bold, italic, underlined digit is the hundreds digit.

To round to the nearest hundred, change all digits to the right of the hundreds digit to 0. Now you have

713,900

There is one more step. Look at the first digit that used to be to the right of the hundreds digit. If it is from 1 to 4, the hundreds digit remains the same. If it is from 5 to 9, the hundreds digit goes up by 1. In this case, the first digit to the right of the hundreds digit was 4, so the hundreds digit does not go up by 1.

Answer: 713,900

6 0
3 years ago
Read 2 more answers
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