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pychu [463]
3 years ago
15

Find the value of x, rounded to the nearest tenth. Answers : a.)12.5 b.)9.7 c.) 10.0 d.) 13.0

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
5 0

Remember "SOH CAH TOA"


Sine = (Opposite/Hypotenuse)

Cosine = (Adjacent/Hypotenuse)

Tangent = (Opposite/Adjacent)


In this case, we will be using cosine, and our equation will be \frac{cos(28)}{1} =\frac{11}{x}


So firstly, cross-multiply. cos(28)*x=11


Next, divide both sides by cos(28), and your answer will be x=12.5

Marysya12 [62]3 years ago
4 0

Answer:

a.)12.5

Step-by-step explanation:

You have a triangle with a 90º angle, you can apply the laws of the triangles on the triangle, and the chosen would be cosine.

Cosine=\frac{side-adjacent}{Hypotenuse}

Cosine 28º= \frac{11}{x}

x=\frac{11}{cosine 28}

x= \frac{11}{.8829}=12.45

x=12.5

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A hockey season ticket holder pays $88.56 for her tickets plus $5.00 for a program each game. A second person pays $19.76 for a
Aleksandr-060686 [28]

Answer: x = 6

Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.

Next, you should combine your like terms. So, -14.76 = -88.56.

Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./

Lastly, calculate. Determine the sign for multiplication or division, so x = 88.56 / 14.76. Multiply both the numerator and denominator with the same integer. So, x = 8856 / 1476. Cross out the common factor, then you get your answer of x = 6

5 0
2 years ago
In order for the parallelogram to be a rhombus, x=?
stealth61 [152]

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6 0
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Read 2 more answers
Total mass vs. numbers of cd and numbers of cd
Gekata [30.6K]

Answer: Choice A) M = 0.25n + 100

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

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

  • x = number of CDs
  • y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

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

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

7 0
3 years ago
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