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DIA [1.3K]
2 years ago
6

Find the value of x. Round to the nearest tenth.

Mathematics
2 answers:
Sever21 [200]2 years ago
6 0

Answer:

cos\Theta =\frac{adj}{hyp}

cos 32=\frac{12}{x}

x=12/cos32

=14.2

OAmalOHopeO

Maru [420]2 years ago
5 0

Answer:

\huge\boxed{x=14.2}

Step-by-step explanation:

Use a cosine:

cosine=\dfrac{adjacent}{hypotenuse}

We have:

adjacent=12\\hupotenuse=x\\measure\ of\ angle=32^o

Look at the picture or use the calculator.

\cos32^o=0.8480

Substitute:

0.848=\dfrac{12}{x}\\\\\dfrac{0.848}{1}=\dfrac{12}{x}

cross multiple

0.848x=12

divide both sides by 0.848

x=\dfrac{12}{0.848}\\\\x=14.2

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Refer to the triangle below what is the volume of X. 45° 60°
RUDIKE [14]

Answer:

x = 75

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for x

x = 180° - (60 + 45)° = 180 - 105° = 75°

5 0
3 years ago
PLEASE help !!! I’m struggling and I suck at math. Can someone answer this for me? For points and brainly !
Helen [10]

Answer:

\huge\boxed{2329 \ \text{pounds}}

Step-by-step explanation:

In order to solve this equation, let's see what we already know.

  • We know two points on the graph <em>which we can use to find the slope</em>

That's about it.

However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as \frac{\Delta y}{\Delta x} (change in y / change in x). Our two points are (18, 2017) and (48, 2212).

The change in y between our two points is 2212-2017 = 195, and the change in x is 48 - 18 = 30. Our slope will then be \frac{195}{30}, which comes out to be approximately 6.5. Therefore, our slope is 6.5.

Now that we know the slope, we can substitute inside our equation in slope intercept form.

y = 6.5x+b

We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.

  • 2017 = 6.5 \cdot18 + b
  • 2017 = 117 + b
  • 1900= b

Now that we know our y-intercept is 1900, we can create our equation by using the slope and the y-intercept.

y=6.5x+1900

Finally, to find the weight of the plane with 66 pounds of fuel, we can substitute 66 inside this equation as x.

  • y = 6.5 \cdot66+ 1900
  • y = 429+1900
  • y=2329

So the plane weighed 2329 pounds with 66 gallons of fuel.

Hope this helped!

7 0
3 years ago
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Dmitry_Shevchenko [17]

Answer: the answer is 88.2 and your welcome!!

Step-by-step explanation:

Tan x=31

x= tan^-1 (31) 

x=88.2 degrees

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nekit [7.7K]

Sorry didn't know how to write the answer so I just took a screen shot of my answer for you!

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Answer:

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