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AveGali [126]
3 years ago
12

Find the value of x. Round to the nearest tenth. tan 46 = x/12

Mathematics
2 answers:
vredina [299]3 years ago
8 0

Answer:  Hello there!

we have the equation tan(46) = x/12

(here I assume that the 46 is in degrees)

and we want to find the value of x.

We need to isolate x on one side of the equation, we can do it by multiplying by 12 in both sides of the equation:

tan(46°)*12 = (x/12)*12 = x

then x = tan(46°)*12 = 12.426

And we want to round it to the nearest tenth.

The tenth is the first number after the decimal point, in this case, is a 4.

To round the number we need to look at the following number, if it is 5 or bigger, we need to round up, if the following number is smaller than 5, we need to round down.

The next number to the 4, is a 2, this means that we need to round down:

this means that the solution is x = 12.4

otez555 [7]3 years ago
5 0
Tan46=x/12
12×tan 46=x
12×1.03=x
0.21255=x

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Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

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25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0
3 years ago
Kenneth has 2,000$ to invest
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The calculations for 2, 4, 8 year can be derived as follows,

For simple interest:

                   S.I = \frac{P*T*R}{100}

P= principle

T= Time

R= Rate

For 2 year;

            S.I = \frac{2000*2*5.6}{100}=  $224

           Amount = $2224

For 4 year;

            S.I = \frac{2000*4*5.6}{100}= $448

           Amount = $2448

For 8 year;

             S.I = \frac{2000*8*5.6}{100}= $896

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The answers are 3.19 or -2.19.

In order to complete the square, you must first get the constant to the other side of the equation. WE do that by adding 7 to both sides.

x^2 - x - 7 = 0

x^2 - x = 7

Now we must take half of the x coefficient (-1), which would be -.5. Then we square it and add it to both sides. This is the second step to any completing the square problem.

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