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Lynna [10]
3 years ago
15

Find the side labeled X in the picture, then round to 5 decimal places.

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

\displaystyle x=20.75585

Step-by-step explanation:

<u>Trigonometric Ratios</u>

There are some trigonometric ratios that are defined in a right triangle. The given figure corresponds to a right triangle (with a 90° angle) and two measures are given: An angle of 34° and the length of a side that is opposite to the angle. We are required to find x, the adjacent side of the given angle.

The appropriate relation that we must use to find x is

\displaystyle tan34^o=\frac{14}{x}

Solving for x

\displaystyle x=\frac{14}{tan34^o}

\boxed{\displaystyle x=20.75585}

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X2 – 11x + 5 = -2x<br> Solve equation to the nearest tenth
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
PLS HELP ME AND SHOW WORK.
Alex17521 [72]

Answer:

4 = (x  + 7 {)}^{2}  + (y  -  3 {)}^{2}

Step-by-step explanation:

equation of a circle

{r}^{2}  = (x -  {h} )^{2}  + (y -  {k)}^{2}

we know the center is (-7, 3)

the radius is 2

we replace (h,k) with the center coordinates

and input the radius

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simplify to this:

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3 0
3 years ago
Heather, Chang, and Justin served a total of 93 orders Monday at the school cafeteria. Chang served 2 times as many orders as Ju
meriva
Write an equation where x = Justin's orders 
93 = (x) + (2x) + (x + 5)
Simplify the equation:
93 = 4x + 5 
Subtract 5 from both sides:
88 = 4x
Divide 4 on both sides:
22 = x
Solve for the orders:
x = 22 = Justin
22(2) = 44 = Chang
22 + 5 = 27 = Heather. 


Hope this helps!

5 0
3 years ago
Read 2 more answers
Sebastian wants to create a right triangle with side lengths 14 inches, 48 inches, and 5
allochka39001 [22]

Answer: Choice A

\text{Yes, because } 14^2+48^2 \text{ is equal to } 50^2

=======================================================

Explanation:

The pythagorean theorem is a^2+b^2 = c^2

The value of c is always the longest side, aka hypotenuse.

The order of 'a' and b doesn't matter.

So a = 14, b = 48, c = 50

We have a^2+b^2 = 14^2+48^2 = 196+2304 = 2500

We also have c^2 = 50^2 = 2500

Both sides result in 2500 which proves that 14^2+48^2 = 50^2 is a true statement. Therefore, we do have a right triangle.

7 0
2 years ago
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