A cable is attached to a radio tower 100 ft
above the ground and forms an angle of 50 ( degrees ) with the ground. To the nearest foot, how long is the cable?

Answers

Answer 1

Answer:

L = 131 feet

Step-by-step explanation:

Right Triangles

The cable, the ground, and the radio tower form a right triangle with an angle of 90° located where the ground and the tower meet.

The cable is the hypotenuse of the triangle and the angle of 50° is opposite to the height of the radio tower.

To find the hypotenuse L we use the sine ratio:

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 50^\circ=\frac{100}{L}[/tex]

Solving for L:

[tex]\displaystyle L=\frac{100}{\sin 50^\circ}[/tex]

Calculating;

L = 131 feet


Related Questions

[tex]\sqrt{24)[/tex]

Answers

Answer: [tex]2\sqrt{6}[/tex]

Step-by-step explanation:

Find the perfect square root(1,4,9,16.....) of 24 which is 4.

[tex]\sqrt{4 x 6}[/tex]=[tex]\sqrt{24}[/tex]

sqr root of 4 is 2 so that becomes

[tex]2\sqrt{6}[/tex]

h2 + 7h + 10 = 0
Help please

Answers

Answer:

-2, -5

Step-by-step explanation:

h2 + 7h + 10 = 0

h^2 +7h + 10 = 0

h^2 +2h +5h + 10 = 0

h(h+2) + 5(h+2) = 0

h+2 = 0 or h+5 = 0

h = -2 or h = -5

Pleas help dude or mama

Answers

Answer:

y=137⋅1.0912xy=137⋅1.0912x

Ingrese un problema...

Enter a rational equation for the real-world application. Do not solve.

A save percentage in lacrosse is found by dividing the number of saves by the number of shots faced. A lacrosse goalie saved 3 of 14 shots. How many additional consecutive saves s must the goalie make to raise his save percentage to 0.650?

The equation to solve this problem is ?

Answers

Answer:

data:image/png;base64,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

Josh brought 4 small spinach pies to his baseball team
party. At the end of the party, 3/5 of each pie was left. If Josh gave 2 whole
pies away, what part of a pie did he have left to take home?

Answers

Answer:

3/5+3/5= 6/5= 1.1 because if he gave 2 holes away he only has 3/5 of 2 pies left add dows that together and u have a improper fraction 6 goes into 5 once leaving u with 0.1 add the one from the whole pie u and and u have 1.1

Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years?

Answers

Answer:

£21,552.13

Step-by-step explanation:

A = P(1 + rt)

P = £18790

r = 0.049 (rate in percent form)

t = 3 years

A = £18790(1 + (0.049)(3))

A = £18790(1 + 0.147)

A = £18790(1.147)

A = £21,552.13

Each letter in SYNONYM is written on a piece of paper and randomly chosen from a bag.What are the odds for choosing an Y?

Answers

2/7 or 2:7 or about 28.5%

Answer: 2/7 or 2 out of 7

Step-by-step explanation: because there are 2 y's in the word synonym

A locker combination consists of three digits. The digits are the numbers
O through 9. Which is the number of possible locker combinations?

Answers

Answer:

729

Step-by-step explanation:

9x9x9

5r+8=2r solve the equation for r

Answers

i think it is −2.666666666666667 but i’m not sure!

6X – 10y = 18
-6x + 5y = 12
solve by elimination
show your work

Answers

You can just cross out the Xs. Hope this helps.

Substitution
Y=5x+5
3x-6y=24

Answers

Answer:

x=-2 and y=-5

Step-by-step explanation:

y=5x+5

3x-6y=24

3x-6(5x+5)=24

3x-30x-30=24

           +30   +30

-27x=54

x=-2

y=5(-2)+5

y=-10+5

y=-5

Higher Order Thinking. Explain how to add 3+3+4. Use pictures,numbers, or words.

Answers

Answer:

Step-by-step explanation:

3 + 3 + 4

!!! + *** + &&&&

!!!***&&&&

10 symbols in all

Hope this Helps!!!

Given that a = 24 cm and b = 7 cm, work out x

Answers

x = 25cm , i used pythagoras theorem to calculate this, 7^2 + 24^2 = 625, the square root of 625 = 25

Convert 0.02 into a percent and type your result in the empty box.

Answers

Answer: 2%

Step-by-step explanation: just bring the decimal point two to the right

Answer:

2%

Step-by-step explanation:

x + 17 =193 is the question and the assignment is called Solving 1 step equations using Addition and Subtraction.

Answers

the answer is x= 176

Answer:

x=176

Step-by-step explanation:

In order to find this, you would subtract 17 from 193, which gives you 176 as your answer.


How many hot dogs would Pocahontas eat in 6 hours if she ate 4 hot
dogs every 12 minutes?

Answers

Answer: 120

Step-by-step explanation:

1st- find out how many hotdogs she eats every hour—

60/12 = 5

5x4=20

She eats 20 hotdogs every hour so next you would multiply

6x20=120

Hope this helped:)

Write down three integers,all less than 25,whose range is 8 and mean is 11.

Answers

let

x------> the first integer

y------> the second integer

z-----> the third integer

x < y < z < 25

we know that

Median=13

Median=(x+y+z)/3

13=(x+y+z)/3

x+y+z=39------> equation 1

range=10

The range is the difference between the largest number within the set and the smallest number in the set

so

range=z-x

z-x=10------> z=x+10-----> equation 2

to find the solution we will assume different values ​​of x (See the attached table)    

terms

x < y < z < 25

z=x+10

y=39-z-x

The solution can be

7,15,17

8,13,18

9,11,19    

okokok last one i p r o m i s e

Answers

Answer:

-5

Step-by-step explanation:

Answer:

5 (five)

also it doesn't let me send which is kinda word like it say u have to do 50

Identify the number soutions 5y^3-3y^2+8y=0

Answers

Answer: 0

Step-by-step explanation:

Step 1: factor left side of equation

y(5y^2-3y+8)=0

Step 2: set factors to equal zero

y=0 or 5y^2-3y+8=0

y=0

Write the following equation symbolically.

The product of 7 and w is 8 times the sum of 2 and x.

Answers

Answer:

7w=8(2+x)

Step-by-step explanation:

Hannah walked 1 3/4 miles in the morning and 3 2/3 miles in the afternoon. Hannah walked
miles in all

Answers

Answer:

4 11/12

Step-by-step explanation:

Answer: 5 5/15

Step-by-step explanation:

Isabella is writing her resume. She doesn’t have much work experience. She thinks she should leave an empty section on her resume. Is this a good idea?

Answers

Answer: If you don't have any work you can put in Showcase Your Volunteer Work or Academic Projects

Step-by-step explanation:

She should stress her talents and experience earned above the specific job itself or the amount of time worked.

What is a resume?

A succinct description of one's background and credentials: an updated resume I sent a cover letter, work samples, and my resume for the internship.

here, we have,

given that,

Isabella is writing her resume.

She doesn’t have much work experience. She thinks she should leave an empty section on her resume.

Therefore, we have,

Isabella is writing her resume she does not have much work experience she think she should leave an empty section resume is this a good ideas:

She should stress her talents and experience earned above the specific job itself or the amount of time worked because leaving an empty space in her resume could distract the reader.—

To learn more about resume from the given link:

brainly.com/question/12923976

#SPJ3

HELP ASAPPPPPP pls solve step by step!!!

Answers

Answer:

X=18

Step-by-step explanation:

6x=108

swap sides

6x/6

108/6

divide each side by 6

x=18

How many 1/3 cup serving are in 5/6 of a cup?

Answers

Answer:

2 1/3

Step-by-step explanation:

5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6

1/6+1/6 = 1/3

1/6 + 1/6 = 1/3

2 * 1/3 + 0.5(1/3)

2 1/3

Answer:

Step-by-step explanation:

5/6 : 1/3

[tex]\frac{5}{6}[/tex] x [tex]\frac{3}{1}[/tex]=15/6 =2 3/6= 2 1/2 cups serving

Calculate the area of trapezium CDEF:)
In the diagram shown
. CDEF is a trapezium
.ABCF is a rectangle
. BD = 9cm
.AB = 6cm
.EF = 3cm
Perimeter of ABCF = 20cm

Answers

Answer:

6+6=12

20-12 = 8

8/2 = 4

BC = 4 cm

9 - 4 = 5

CD = 5

5 + 3 = 8

8/2 = 4

4 X 6 = 24

A 3 digit number is written on a piece of paper. What's the probability that it starts with a 3?

Answers

Answer:

10%

Step-by-step explanation:

its a 1/10 chance of every number

A 3 digit number can only start with 1-9. 3 is one number in this so therefore there’s a 1/9 chance it will start with a 3. As a decimal it’s .1 repeating probability.

The rear windshield wiper blade on a car has a length of 11 inches. The blade is mounted on a 15 inch arm, 4 inches from the pivot point. Of the wiper turns through an angle of 135 degrees, how much area is swept clean?

Answers

Answer:

[tex]246.22\ \text{inches}^2[/tex]

Step-by-step explanation:

[tex]r_1[/tex] = Radius of arm = 15 inch

Length of blade = 11 inches

[tex]r_2[/tex] = Radius of point at which the blade is mounted = 4 inches

[tex]\theta[/tex] = Angle of the sector = [tex]135^{\circ}[/tex]

The required area is ABDE

[tex]ABDE=ACE-BCD\\\Rightarrow ABDE=\dfrac{\theta}{360^{\circ}}\pi r_1^2-\dfrac{\theta}{360^{\circ}}\pi r_2^2\\\Rightarrow ABDE=\dfrac{\theta}{360^{\circ}}\pi(r_1^2-r_2^2)\\\Rightarrow ABDE=\dfrac{135^{\circ}}{360^{\circ}}\pi(15^2-4^2)\\\Rightarrow ABDE=246.22\ \text{inches}^2[/tex]

The area which is swept clean is [tex]246.22\ \text{inches}^2[/tex]

DJ Jacqueline is making a playlist for a friend; she is trying to decide what 15 songs to play and in what order they should be played. If she has her choices narrowed down to 10 pop, 25 reggae, and 10 blues songs, and she wants to play an equal number of pop, reggae, and blues songs, how many different playlists are possible

Answers

Answer:

[tex]P=4.41205084*10^2^1[/tex]

Step-by-step explanation:

From the ques ton we are told that

Total amount N=15

Choices within 10 pop, 25 reggae, 10 blues

Generally for equal amount in her play list she's mathematically Going to have 5 of each kind  Pop,Reggae,Blues

Therefore

Let the amount of differnt playlist be given as P

[tex]P=^1^0C_5*^2^5C_5*^1^0C_5*15![/tex]

[tex]P=252*53130*252*1307674368000[/tex]

[tex]P=4.41205084*10^2^1[/tex]

Therefore [tex]P=4.41205084*10^2^1[/tex]  different playlists are possible

If a is positive whole number which is greater a/5 or a/8 ?

Answers

Answer:

a/5

Step-by-step explanation:

You can choose a random number for a and see which is greater. For example, you can say a = 40.

That would mean a/5 = 8 and a/8 = 5. Since 8 is greater than 5, a/5 will always be greater.

If a is positive whole number then a/5 is greater than a/8.

To determine whether a/5 or a/8 is greater, we can compare the two fractions when a is a positive whole number.

To compare fractions, we can find a common denominator for both fractions and then compare the numerators.

The least common multiple (LCM) of 5 and 8 is 40. Therefore, we can rewrite the fractions with a common denominator of 40:

a/5 = (8a)/40

a/8 = (5a)/40

Now, we can compare the numerators:

When a is a positive whole number, 8a will always be greater than 5a because multiplying a by a larger number (8) results in a larger value than multiplying a by a smaller number (5).

So a/5 > a/8.

Hence, a/5 will be greater than a/8 for any positive whole number value of a.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

What is the place value of 7 in 74,310,892?

Answers

Answer:

10 million place

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