1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Which of the following statements have the same result? Explain each step in solving each one.
QveST [7]
First:   f(2) is same as  f(x=2) so all we have to do is to express x=2 in f(x)
f(2) = 3*2 + 2 = 8

Second
 f^(-1) (3) is inverse function.  first we solve f(x) for x.
let f(x) be equal to some variable m
m = (2x -7)/3
3m = 2x - 7
2x = 3m + 7
x = (3m + 7)/3
now we write:
f^-1(x) = (3x + 7)/3

x=3
f^-1(3) = 16/3

Third
  2y + 14 = 4y - 2
      we just solve for y
     2y = 16
      y = 8

Now we take that f(x) = y because we both write to be the functions of x

that means that First and third have same result.


4 0
3 years ago
23)   Does the following infinite geometric series diverge or converge? Explain.
Ksju [112]
It diverges; it does not have a sum.  the sum of a geometric series is given by a /(1-r) where a is the first term and the r is the ratio between the terms. r=3 in the series you have given . The absolute value of r must be less then 1 for a geometric series to converge.
3 0
3 years ago
Read 2 more answers
How to do question 5 and 6. Can you explain the first one which is A for 5 and 6?<br><br>Thank you​
Illusion [34]

for 6

in a

given

slope(m)=1

point=(2,-4)=(x1,y1)

we know

equation of straight line

y-y1=m(x-x1)

y+4=1(x-2)

y+4=x-2

therefore x-y-6=0 is the required equation

substituting with ax+by+c=0 we get

a=1

b= -1

c= -6

4 0
3 years ago
Question 3 (Multiple Choice Worth 1 points)
Evgen [1.6K]

Answer:

g(x) = x + 6

Step-by-step explanation:

The parent function is given as:

f(x) = x + 8

We want to find a new function that results after shifting f(x), 2 units to the right.

Let that function be g(x), then

g(x) = f(x - 2)

We replace x by x-2 in f(x) to get:

g(x) = x - 2 + 8

When we simplify, we obtain:

g(x) = x + 6

8 0
3 years ago
Find the surface area of a cylinder with a height of 8 yd and a base radius of 3 yd. Use 3.14 for π and dont do any rounding.
gulaghasi [49]
<span>Surface area</span> = 2πr(h+r) =  2 * 3.14 * 3(8+3) = 207.24 yd²
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of a rectangle whose length is 78 feet and width is 26 feet?
    10·1 answer
  • What is 0.01234567901 as a fraction?
    7·1 answer
  • If a figure has four sides then it cannot be a triangle
    10·2 answers
  • You use 4 boxes of rice to serve 13 people. If you want to serve 39 people, what should you do.
    5·2 answers
  • 4. Is this slope positive or negative? *
    7·1 answer
  • 22(w+2)=77<br>iready<br>please help
    10·1 answer
  • A A A A A A A A A A A hi i need an answerrrrrrrrrrrrrrrrr <br><br> *dies*
    12·1 answer
  • 13. A bag contains 8 red marbles, 4 purple marbles, 5 green marbles, 2 orange, and 1 blue
    8·1 answer
  • Large balloons are sold in packages of 12. Select the expressions that can represent the total number of balloons in p packages
    8·1 answer
  • Hello, can you please check if this is correct?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!