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lawyer [7]
3 years ago
15

Trigonometry question! find the vaule of x. round to the nearest tenth!​

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

<h2>x = 88.2</h2>

Step-by-step explanation:

Look at the picture.

Use tangent:

tangent=\dfrac{opposite}{adjacent}

We have a measure of the angle and length of the adjacent:

\alpha=10^o,\ adjacent=500

\tan10^o\approx0.17633

Substitute:

\dfrac{x}{500}=0.17633             <em>multiply both sides by 500</em>

x=88.165\to x=88.2

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Graph f(x)=|x−2|+3 .<br><br> Use the ray tool to graph the function.
maks197457 [2]

Answer:

Answer:

The graph will be 2 units away from the origin on positive x-axis and three units upward from the origin towards y-axis.

Step-by-step explanation:

Here is a graph attached with it.

To graph \left | x-2 \right |+3 we know that positive \left | x \right | is a V shaped from the origin.

Key points:

  • To move rightward there must be a negative inside the parentheses.
  • And to move upward we must have positive b = constant.

If we have to move towards x-axis then we must have negative inside it.

And if we have to move upward in y-axis positive we must have positive constant value.

So the graph will be three units upward and two units rightward with a V-shaped ray.

4 0
3 years ago
A spinner with 6 equally sized slices has 2 red slices, 1 blue slice, and 3 yellow slices. The dial is spun and stops on a slice
Dmitry_Shevchenko [17]

Answer:

The probability is 2/6, or 1/3 (about 33%)

Step-by-step explanation:

5 0
2 years ago
Which values of a and b make this system of equations have infinitely many solutions?
Afina-wow [57]

9514 1404 393

Answer:

  a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

  2y +16 = 6x . . . . . given

  y = 8 +3x . . . . . . . divide by 2

  y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

  y = ax +b

  a = 3, b = -8

6 0
3 years ago
Julie has 30 pounds of chocolate that
Fudgin [204]

Answer:

30 boxes

Step-by-step explanation:

1 box = 1 pound

x = 30 pound

30 Cross multiplied with 1

= 1 *30 =30

therefore: Julie can fill 30 boxes

7 0
2 years ago
Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they
Wewaii [24]
X = rate of mechanic who worked 5 hours

y = rate of mechanic who worked 15 hours

x + y = 200
5x + 15y = 1950

you find the first variable in one of the equations, then subsitute the result into the other equation. your answer would be:

the mechanic who worked for 5 hours charged $105 per hour, the one who worked 15 hours charged $95 per hour.

hope this helps :)


3 0
3 years ago
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