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topjm [15]
3 years ago
6

Find the value of x to the nearest tenth.

Mathematics
2 answers:
Svetach [21]3 years ago
6 0
Cos(angle) = Adjacent Leg /  Hypotenuse

cos(35) = 9 / x

x = 9 / cos(35)

x = 10.99

Rounded to nearest tenth = 11.0
Lapatulllka [165]3 years ago
5 0

Answer:

The value of x is 11.

Step-by-step explanation:

From the figure it is clear that the given triangle is a right angled triangle. The  length of hypotenuse is x units , an angle 35° and adjacent side is 9 units.

Using trigonometric ratios, in a right angled triangle,

\cos \theta = \frac{adjacent}{hypotenuse}

Substitute θ=35, adjacent = 9, hypotenuse =x in the above equation.

\cos 35=\frac{9}{x}

0.819=\frac{9}{x}

Multiply both sides by x.

0.819x=9

Divide both sides by 0.819.

x=\frac{9}{0.819}

x=10.989\approx 11

Therefore the value of x is 11.

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Find the domain of the function.
timurjin [86]

When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.

u(x) ≥ 0.

\sqrt{9x+27} \geq  0

9x + 27 ≥ 0 by squaring both sides

9x ≥ -27

x ≥ -3

So the domain of the function is when x ≥ -3 is true.

5 0
4 years ago
What is the best way to Solve: 25 – 5x = 80
Art [367]
25 - 5x = 80
 + 5x         + 5x

25 = 5x + 80
- 80         -80

-55 = 5x

-55/5 = 11

x = 11 


Hope I helped!

Let me know if you need anything else!

~ Zoe          
5 0
3 years ago
Read 2 more answers
Which number is a solution of the inequality 8 - 1/4 b > 27
Brrunno [24]

The inequality is 8-1/4x>27. The solution of the inequality is b<-76.

Given that,

The inequality is 8-1/4x>27

We must determine how to address the inequity.

Take,

8-1/4x>27

Multiply the inequality's two sides by its lowest common denominator,

4×8-4×1/4b>27×4

Reduce the expression to the lowers term,

4×8-b>4×27

Calculate the product or quotient,

32-b>4×27

Calculate the product or quotient,

32-b>108

Rearrange unknown terms to the left side of the equation,

-b>108-32

Calculate the sum or difference,

-b>76

Divide the inequality's two sides by the variable's coefficient,

b<-76

Therefore, the solution of the inequality is b<-76.

To learn more about inequality visit: brainly.com/question/28823603

#SPJ1

6 0
1 year ago
The volume of a landfill doubles every three years. Write an exponential function to represent this.
stellarik [79]
The equation would be: V = A2^(Y/3)

The basic form of an exponential equation is y = ab^x.

The a is the starting amount. In this problem, we don't know that, so we just leave it as a.

The b is the rate. In this case, we are doubling the volume so we times it by 2.

The x is the amount of years. Since it is every 3 years, we can divide the x by 3.
7 0
3 years ago
What is the mean of the values in the dot plot?
sergij07 [2.7K]
First, write out all the values:
40,41,41,45,48,48,49,49,49,50

Then to find the mean, you add all the values and divide by the number of values (there are 10 values)
(40+41+41+45+48+48+49+49+49+50)/10
460/10
=46

Hope this helps
3 0
3 years ago
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