A guy wire runs from the top of a cell tower to a metal stake in the ground. Lincoln places a 10-foot tall pole to support the guy wire. After placing the pole, Lincoln measures the distance from the stake to the pole to be 5 ft. He then measures the distance from the pole to the tower to be 14 ft. Find the length of the guy wire, to the nearest foot.

Answers

Answer 1

Step-by-step explanation:

2 right triangles are formed.

x is the angle btw wire and grnd

tan x = 10/5 = 2

tanx = ht of tower/(5+14)

2 = tower ht/19

tower ht = 38

length of wire =

[tex] \sqrt{ {38}^{2} + {19}^{2} } [/tex]


Related Questions

What is the value of a3 in the sequence? 2, 5, 10, 17,. 2 5 10 17.

Answers

the answer to your mathematical question is 5

Factor the expression completely.
-48-56x

Answers

Answer:

Factor- −8(7x+6)

Simplified- −56x−48

Step-by-step explanation:

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS

Answers

Answer:

30%

Step-by-step explanation:

the first solution -30% will be 45% and the second solution added by 30% will be 45%

An which direction does heat move?

From an object with a cool temperature to another object with a cool temperature.

From an object with a higher temperature to an object with a lower temperature.

with a lower temperature to an object with a higher temperature.

From an object with a warm temperature to another object with a warm temperature.

Step-by-step explanation:

what is the value of x

Answers

X = 3.916
Sorry if the image is hard to read I had to smoosh it so it would fit

At a contest spped a car teavels 75 miles in 60 minutes how far deos the car travel in 18 minutes if you get stuck consider using this table

Answers

Answer:

it would travel 22.5 miles in 18 minutes

Step-by-step explanation:

it goes 75 miles in 60 minutes so 1 minute would be 0.8 miles so 18 x 0.8 =22.5

What is the amplitude of the sinusoidal function?

Enter your answer in the box.

Answers

Check the picture below.

The radius of a circle is 12 kilometers. What is the circle's area?

Use 3.14 for π​


Please Help

Answers

Answer:

I believe your answer is 452.39

Step-by-step explanation:

Sarah ran 1/3 of a mile 5 days in a row. How many miles did she run in total?

Answers

Answer:5/3

Step-by-step explanation:

you can do 1/3 x5 and that will give you 5/3

You are buying shoes online. The selling price is $29.99. Round to the nearest penny if necessary. a. The sales tax is 6.5%. What is the total cost? b. The cost of shipping is 15% of the total cost. What is the total cost plus shipping? c. If the total cost plus shipping is greater than $35, then you receive a 10% discount off the original selling price. Do you qualify? If so, what is the new total cost plus shipping?

Answers

Answer:

A. $31.94

B. $34.49
C. $31.49

Step-by-step explanation:

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. Is the relationship between number of turkey subs delivered and the amount charged proportional?

Answers

the answer is in the image

Solve the system of equations using elimination. How many solutions does the system have?
15x + 12y = 18
5x+4y = 6

Answers

The answer to you math equation is
X=6/5 - 4y/ 5

4 devided by 1 1/3, (it can’t be a decimal, if it turns out to be one)

Answers

Its 3. 1+1+1 and 1/3+1/3+1/3 equal 4

A rectangular is 8 meters long and 7 meters wide. What is its area?

Answers

Answer:

56m^2

Step-by-step explanation:

The formula on getting the area of a rectangle is width x height. Therefore you just have to multiply 8 (height) to 7 (width). the answer is ^^^

Answer:

7×8 56

so it,s area should be 56

Which of the following is always a true statement?
a) total employee benefits - job expenses = total employment compensation
b) gross pay + total job benefits = total employment compensation
c) gross pay - job expenses = total employment compensation
d) total job benefits - job expenses = total employment compensation

Answers

Answer:

answer D

Step-by-step explanation:

The statement which is true is

total job benefits - total job expenses = total employment compensation.

What is the meaning of Job expenses?

Costs, expenses, debts, liabilities, and duties related to or incurred in conjunction with work are referred to as job expenses, sometimes known as employment expenses.

The employment benefits provided to the Employee include wages, fees, incentive pay, gratuities, bonuses, vacation pay, holiday pay, other paid time off, overtime pay, standby pay, sick pay, and workers' compensation insurance.

When an employee performs well at work, he is entitled to receive these advantages.

Therefore, the total compensation of the employee is calculated through deducing the total employment benefits to the total job expenses.

Learn more about Job Expenses here:

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I dont know how to do it like how to graph the -x or the y

Answers

Answer:

see explanation and attachment

Step-by-step explanation:

(1) y = -x + 2

so slope is -1 and y-intercept is (0,2)

(2) 2x - y = 7

y = 2x - 7

so slope is 2 and y-intercept is (0,-7)

What fractional parts is this ruler divided into?


thirds

fifths

fourths

halves

Answers

Answer:

each inch divided into 5 lines meaning

the space between each line is 1/5.

Answer:

Fourths

Step-by-step explanation:

There are 4 spaces between the inches.

Alvin's age is three times Elga's age. The sum of their ages is 108. What is Elga's age?

Answers

Answer:

Alvin's Age is 81 and Elga's age is 27

Step-by-step explanation:

let A be Alvin's age and E be Elga's age

A = 3 E (alvin's age is three times elga's age)

A + E = 108 ( the sum of their ages is 108)

3E + E = 108

4 E = 108

E= 108/4 = 27

A = 3E = 27*3 = 81

⭐ Let the Alvin's age be "a" and the Elga's age be "e".

⭐ If we carefully identify the question, we can get two hints provided in the question which can be framed into equations. They are,

A = 3E ... (1)

(Alvin's age is 3 times the age of Elga's age)

A + E = 108 ... (2)

(The sum of Alvin's and Elga's age is 108)

Substituting value of A i.e (A = 3E) in eqn (2) so as to get same variable and solve the eqn.

[tex]\Rrightarrow\bf{a + e = 108}[/tex]

[tex]\Rrightarrow\bf{3e + e = 108}[/tex]

[tex]\Rrightarrow\bf{4e = 108}[/tex]

[tex]\Rrightarrow\bf{e = \frac{108}{4} }[/tex]

[tex]\Rrightarrow\bf{e = 27}[/tex]

Substituting value of (e = 27) in eqn (1),

[tex]\Rrightarrow\bf{a = 3e}[/tex]

[tex]\Rrightarrow\bf{a = 3 \times 27}[/tex]

[tex]\Rrightarrow\bf{a = 81}[/tex]

Thus, the age of Alvin is 81 years and that if Elga is 27 years

Write an expression equivalent to

x^2+6x-7x

Answers

(X-1)(X+7)
Easy work uknow im saying

please help the first correct answer gets brainleist​

Answers

Answer:

38 1/2 meters

Step-by-step explanation:

You have to multiply 28× 1 3/8

You can convert yhe 1 3/8 to an improper fraction, then multiply, and convert back to a mixed number. See image.

OR,

you can distribute the 28 over the sum of 1 and 3/8. This just keeps the fraction a little bit smaller and you can practice distributive property see image

Josh spends 2 hours doing his homework. He daydreams about a robot that could do
his homework in 1 0 minutes. If Josh did have that robot, how long would it take them
together to complete Josh's homework? (Round your answer to the nearest minute.)

Answers

Answer:

It would take them 12 minutes.

Step-by-step explanation:

In parallelogram LMNO below, find the length of LN. please help me!

Answers

Answer:

16

Step-by-step explanation:

x + 6 = 4x

6 = 3x

x = 2

2 + 6 + 4(2) = 16

a 64oz bottle of orange juice has 48oz of water, what percent of bottle of orange juice is water?

Answers

Answer:

Based on the information given the percent of bottle of orange juice is water is 75%.

Using this formula

Percentage=Ounces of water/Ounce bottle of orange juice

Where:

Ounces of water=48 ounces

Ounce bottle of orange juice=64 ounce

Let plug in the formula

Percentage=48/64

Percentage=0.75×100

Percentage=75%

Inconclusion the percent of bottle of orange juice is water is 75%.

Answer:

75%

Step-by-step explanation:

I just did it on iready

question#3
will give brainliest!

Answers

Answer:

I think the answer is 2.56 = x

Step-by-step explanation:

pls like, vote, and give brainliest!

Tell the decimal number that is the best estimate of the fraction 29 over 40. Explain your reasoning.
HELP PLEASE

Answers

Answer:

Step-by-step explanation:

29/40

29 ÷ 40

the answer is 0.725 all you have to do is divide the numerator by the denominator

Answer:

29/40=.725

Step-by-step explanation:

dont know how to explain it, just divide 29/40.

can someone please help me! ASAP!! ​

Answers

Answer:

5 to the power of 2

Step-by-step explanation:

The volume of a prism is 1,224 cubic units. The width is 24 units and the length is 6 units. Which equation can help you to find the h, height of the prism? *
0 points
1224 = 144h
1224 = 30h
1224 = 72h
1224 = 15h

Answers

See attached picture

what is the equation of the line which has a gradient of 2 and passes through the point (1,4)

Answers

Answer:

Y= 2x+2

Step-by-step explanation:

line equation is y=mx +c


m is the gradient = 2

We are given an x and y value

X= 1
y= 4


substitute that into the equation:

4= 2(1) +c

2=c


Put all the equation together:

Y= 2x+2

Find the perimeter of rectangle B

Answers

Answer:

10xy

Step-by-step explanation:

add all the sides

2y+3x+3x+2y

xy

Write an equivalent expression for –5(8 – 2x).

Answers

Answer:

-5(8) = -40-5(-2x) = -40+10x

The value of an equivalent expression is,

⇒ 10x - 40

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Expression is,

⇒ - 5 (8 - 2x)

Now, We can simplify as;

⇒ - 5 (8 - 2x)

⇒ - 5 × 8 - 5 × - 2x

⇒ - 40 + 10x

⇒ 10x - 40

Thus, The value of an equivalent expression is,

⇒ 10x - 40

Learn more about the mathematical expression visit:

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The two-way frequency table represents data from a survey asking a random sampling of people whether they can see the sunrise or sunset from the front of their home. A 4-column table with 3 rows. The first column has no label with entries sunset, no sunset, total. The second column is labeled sunrise with entries 14, 7, 21. The third column is labeled no sunrise with entries 12, 5, 17. The fourth column is labeled total with entries 26, 12, 38. Which is the joint relative frequency for the people who can only see the sunset? StartFraction 5 Over 38 EndFraction StartFraction 7 Over 38 EndFraction StartFraction 12 Over 38 EndFraction StartFraction 14 Over 38 EndFraction.

Answers

You can use the fact that joint relative frequency is the ratio of the frequency of the certain category to the total frequency of that category.

The joint relative frequency for the people who can only see the sunset is given by

Option C: [tex]\dfrac{12}{38}[/tex]

How to calculate the joint relative frequency?

Suppose you've to calculate the joint relative frequency of a certain category out of the given big category.

Then its the ratio of the frequency of that certain category to the total frequency of that big category.

See below for more clarity.

Using the definition of joint relative frequency to find the needed frequency

The given table is attached below in diagram.

The needed joint relative frequency for the people who can only see the sunset is given by

[tex]\dfrac{\text{Total people who can view only sunset}}{\text{total number of people in the given context}} = \dfrac{12}{38}[/tex]

Thus,

The joint relative frequency for the people who can only see the sunset is given by

Option C: [tex]\dfrac{12}{38}[/tex]

Learn more about joint relative frequency here:

https://brainly.com/question/2506919

Answer:

c is the right one

Step-by-step explanation:

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