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
AnnZ [28]
3 years ago
8

A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is t

o make an angle of 31 with the ground? Give your answer to the nearest tenth of a foot.
Mathematics
1 answer:
gladu [14]3 years ago
5 0

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

Sin(angle) = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(31°) = (177 ft)/hypotenuse

Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

You might be interested in
125% of what number is 50?<br> 125% of is 50.<br> (Type a whole number.)
horsena [70]

Answer:

i thinkkk 40

if not my badd

4 0
3 years ago
Дешовок в гавне собак гандонов свиней)))))))))) xddddddd
Readme [11.4K]

Step-by-step explanation:

jhggcxddddddddddddddddd

8 0
2 years ago
Read 2 more answers
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
A group of children 6 to 10 years old were asked how many video games they owned. The scatter plot shows the results. What is th
jolli1 [7]

The range of the video games owned for the cluster is between 8 to 10.

Given

A group of children 6 to 10 years old were asked how many video games they owned.

The scatter plot shows the results.

<h3>What is the range?</h3>

The range is the difference between the lowest and highest numbers in a data set.

The range of video games owned for the cluster is 8 to 10.

Therefore,

The range of the video games owned for the cluster is;

\rm Range = Highest \ value - lowest \ value\\\\Range=10-8\\\\Range=2

Hence, the range of the video games owned for the cluster is between 8 to 10.

To know more about Range click the link given below.

brainly.com/question/8041076

7 0
2 years ago
Which inverse operation would be used to solve n – 7 = 15?
balu736 [363]
The inverse of subtraction is addition
3 0
2 years ago
Read 2 more answers
Other questions:
  • What is -16=p/-3+(-9)
    9·1 answer
  • Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the
    14·2 answers
  • What is the value of x to the nearest tenth tan 64 degrees = x/7
    10·1 answer
  • A bus averages 2 miles per hour faster than a motorcycle. If the bus travels 165 miles in the same time it takes the motorcycle
    11·1 answer
  • Pls help I will give u 50 points
    12·2 answers
  • How do i factor equations?
    12·1 answer
  • I have a test please someone help me I need this asp
    14·1 answer
  • Given the equation y= 3x + 8, what would be the value of y be when x = 3?
    11·1 answer
  • At a math contest 20problems we’re given each correct answer earned 5 points and 2 points were deducted for each incorrect answe
    12·1 answer
  • Mr. Parker spent $96.30 on 3 hats and 6 key chains. if each hat cost $15.50 how much did each key chain cost?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!