A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long does the wire need to be to reach from the top of the tower to the ground?

Answers

Answer 1

Answer:

250.34 feet

Step-by-step explanation:

Find attached to this answer and appropriate diagram.

From this question, we can see that this is a trigonometric function

The height of the radio tower = 225 feet = Opposite side

θ = Angle 64°

In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.

From the attached diagram, we can see that that is equivalent to finding the hypotenuse.

Hence, we are using the Trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse side

sin 64 = 225 feet/ Hypotenuse

Cross multiply

sin 64 × Hypotenuse = 225 feet

Divide both sides by sin 64

Hypotenuse = 225 feet / sin 64

Hypotenuse = 250.33543661 feet

Approximately = 250.34 feet

Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.

A Support Wire Extends From The Top Of A 225 Feet Radio Tower To The Ground And Makes An Angle Of 64

Related Questions

Find the midpoint of the segment with the following endpoints (6,3) and (10, – 7)

Answers

Answer:

-5/2

Step-by-step explanation:

-7-3/10-6 = -10/4 which equals -5/2

what’s the missing number ?

Answers

Answer:

84

Step-by-step explanation:

One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:

2x = 12(14)

2x = 168

x = 84

Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.

Hope this helped! :)

The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.


An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base.


The top base extends 8 units to the right of the bottom base. What is the volume of the prism?

Answers

Answer:

Volume of the prism = 1950unit³ (C)

Step-by-step explanation:

The question is incomplete without the diagram of the oblique prism and its dimension.

Find attached the diagram used in solving the question.

The prism has a rectangular base:

width= 10 units

length = 13 units

The distance between the top and the bottom base = 17 units.

Volume of prism = Area of base × height

Area of base = area of rectangle = Length ×width

= 13× 10

Area of base = 130unit²

To get the height, we would apply Pythagoras theorem

Hypotenuse² = opposite² + adjacent ²

17² = h² + 8²

289 = h² + 64

h² = 289-64 = 225

h = √225

h = 15unit

Volume of the prism = 130 × 15

Volume of the prism = 1950unit³ = 1950 cubic units

Answer:

The answer is C which is 1950 on EDGE

Step-by-step explanation:

how to get the answer ?

Answers

Answer:

x=-3

Step-by-step explanation:

This is a vertical line, vertical lines have a slope of undefined

They are of the form

x = something

In this case x= -3

What is the circumference of the circle? Use 3.14 for pi r=6.4 cm circle

Answers

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...

BJ added a cell phone to his familys plan his phone costs $5 a month how much does his phone cost him over 6 months?



help meeeeeeeee fammmm​

Answers

Answer:

30

Step-by-step explanation:

6 x 5 is 30.

But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?

Answers

Answer:

There were 76 childrens and 14 adults.

Step-by-step explanation:

Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:

children + adults = 90

Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:

5*children + 12*adults = 548

With these two equations we have a system of equations shown below:

children + adults = 90

5*children + 12*adults = 548

In order to solve this we will multiply the first equation by -5, and sum both equations we have:

-5*children - 5*adults = -450

5*children + 12*adults = 548

7*adults = 98

adults = 98/7 = 14

children + 14 = 90

children = 90 - 14 = 76

There were 76 childrens and 14 adults.

The graph below shows three different normal distributions. 3 normal distributions are shown. They all peak at the same point, but they all have different heights and widths. Which statement must be true?
A) Each distribution has a different mean and the same standard deviation.
B) Each distribution has a different mean and a different standard deviation.
C) Each distribution has the same mean and the same standard deviation.

D) Each distribution has the same mean and a different standard deviation.

Answers

Answer:

D) Each distribution has the same mean and a different standard deviation.

Step-by-step explanation:

just took test edg2020

The graph below shows three different normal distributions.

D) Each distribution has the same mean and a different standard deviation.

What is standard deviation and mean?

The spread in the provided normal curves exists due to various standard deviations. The mean for all three curves lies at the center of the curve.

Therefore, each distribution contains the same mean and a separate standard deviation.

Therefore, the correct answer is option (D) "Each distribution has the same mean and a different standard deviation."

To learn more about standard deviation and mean

https://brainly.com/question/10924415

#SPJ2

When 8=8 is it infinite solutions, no solutions

Answers

Answer:

infinite

Step-by-step explanation:

no solution would be something like 8=4 because it is not true

Answer:

Infinite solutions

Step-by-step explanation:

Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?

Answers

Answer:

Image of the point (-4, -10) after reflection will be (-4, 10).

Step-by-step explanation:

Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).

Rule for the reflection over the x-axis is

(x, y) → (x, -y)

Under the same reflection or following the same rule rule,

(-4, -10) → (-4, +10)

Therefore, image of the point (-4, -10) after reflection will be (-4, 10)

Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 72.2 inches. The length of the frame is 20.3 20.3 inches. Write an equation to find the width of the frame, x

Answers

Answer:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in[/tex]

And the width for this case would be 15.8 in

Step-by-step explanation:

For this case we know that the photo is rectangular. Let's define:

x = the width,  y= the length

And we know that the perimeter is given by:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in [/tex]

And the width for this case would be 15.8 in

Simplify 4x-3(x-2y)+ .5(6x-8y)

Answers

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

5pi

Step-by-step explanation:

will mark brainliest answer for fastest answer given

Answers

Answer:1/8

Step-by-step explanation:

there are 8 slices and its asking for the probability of one number. so its 1 out of 8

Answer: 1/4

Step-by-step explanation:

3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.

2/8 = 1/4

someone please help :)

Answers

Answer: 25

Step-by-step explanation:

they are corresponding angles

Probability & Sampling:Question 4
If the probability of a chance event is 0, it is
to happen
when compared to a chance event with a probability of 1.
Select one:
both more and less likely
less likely
more likely
equally likely

Answers

Answer:

more likely

Step-by-step explanation:

Need Answer Fast Please to solve the Linear Expression: 5(5n+2)+(3-2n)

Answers

Answer:

23n +13

Step-by-step explanation:

5(5n+2)+(3-2n)

Distribute

25n + 10 +3 -2n

Combine like terms

25n -2n  + 10+3

23n +13

Answer:

[tex]23n + 13[/tex]

Step-by-step explanation:

[tex]5(5n + 2) + (3 - 2n) \\ 25n + 10 + 3 - 2n \\ 25n - 2n + 10 + 3 \\ = 23n + 13[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Thank you for helping me

Answers

Answer:

thank you for giving me points ;)

Step-by-step explanation:

answer. you’re welcome.

Can u guys help pls? This is due in 10 mins

Answers

Answer:

Question 7: 16n^8 Question 8: 6r^4 Question 4: (-1,-7) Question 6: 6y^7

Step-by-step explanation:

Do i need it?

8. c 6r^4
6. b 6y^7
7. b 16n^8

which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?

Answers

Answer:

(0, 8)

Step-by-step explanation:

i just got this question

Answer:

(-9,0)

Step-by-step explanation:

To find the x intercept, set y=0 and solve for x

f(x) = (x-8) (x+9)

0 = (x-8) (x+9)

Using the zero product property

x-8 =0    x+9=0

x=8    x=-9

(8,0)    (-9,0) are the x intercepts

Without measuring angles what is the measure of angle A′ OB ′?

Answers

Answer:

That isn’t possible

Step-by-step explanation:

Solve for the height (h) of this triangular prism if the volume is 1080. The

volume of a triangular prism is V = (B)(h), where B is the area of the

triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL

BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE

FOR THE TRIANGULAR PRISM. *

h

15

8

Answers

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

Round your answer to the nearest hundredth..
B
?
5
2
A
С

Answers

Answer: m<B = 66.42

Step-by-step explanation:

Use cosine to find the missing angle.

Cosine = adjacent/hypotenuse

cos x = 2/5

since you know the side lengths and you’re finding the angle, use inverse cosine

cos -1 (2/5) = 66.4218215...

m<B = 66.42

Hey there!

We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.

In our case, we see that the cosine of our angle is 2/5. How do we know that?

Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"

SOH

Sine= Opposite/Hypotenuse

CAH

Cosine= Adjacent/Hypotenuse

TOA

Tangent= Opposite/Adjacent

If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.

Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).

cosΘ= 2/5

We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)

cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5

Θ ≈ 66.42

I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!

Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6

Answers

Answer:

-2.8

Step-by-step explanation:

I solved it thats how

I think this is answer

3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?​

Answers

Answer:grjjrd

Step-by-step explanation:fdfgdjj

What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters

Answers

Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?

Answers

Step-by-step explanation:

We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.

We want to find the initial vertical velocity of the ball.

The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,

[tex]v=v_o +at[/tex]

Here, v = -6.5 m/s, t = 1.5 s and a = -g

[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]

So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).

what is the y-intercept of the equation y=-x?

Answers

Answer:

0,0

Step-by-step explanation:

Write 21 9/1000 in decimal form

Answers

Answer:

the answer in decimal form is 21.009

Answer:

= 21.009

Step-by-step explanation:

First change it to an improper fraction

= 1000 x 21 + 9

= 21009/ 1000

You then divide it by 1000 without leaving a remainder.

= 21.009

a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm

Answers

Answer:

area=250.12. perimeter=3380

Step-by-step explanation:

Other Questions
Write the following number in scientific notation:0.0000487 Simplify (-2x^3)2yy^9 What is source of the DNA for the strawberry plant? It was absorbed from the soilIt was passed on from the parent plantIt was created by the plant using sunlightIt was borrowed from animals that feed on the plant what is the domain and range of this graph? Stahlmaere Inc. is a start-up company that manufactures simple machines. It is interested in analyzing the profit from a new machine using Monte Carlo simulation. It wants to investigate the profit resulting from a selling price of $150 per unit. The setup and advertising costs are known to total $75,000. They assume that the demand for the product is normally distributed with a mean of 1500 units and a standard deviation of 100 units. The company estimates that the raw material cost per unit is uniformly distributed between $5 and $6. The labor cost per unit is assumed to follow a discrete uniform distribution from $12 to $16. A junior analyst has devised the following Excel spreadsheet that simulates a single scenario using the information given above: Selling price per unit = 150 Set up and advertising cost = 75000 Demand = =NORM.INV(RAND(),1500,100) Raw material cost per unit = =5+(6-5)*RAND() Labor cost per unit = =RANDBETWEEN(12,16) Profit = =(B1*B4)-B2-((B5+B6)*B4) Copy-and-paste the above information into cells A1:B8 of an Excel spreadsheet. Then use a data table to repeat the simulation 1000 times. From the simulation results, estimate Stahlmaere's expected mean profit. Understanding that simulation is random in nature and that your estimate is unlikely to match any of the answer choices exactly, choose the answer choice that is closest to the estimated mean profit. A. $180,000 B. $50,000 C. $150,000 D. $90,000 E. $120,000 A hemisphere has a diameter of 48 inches. What is the volume of thehemisphere? Use 3.14 for and round to the nearest tenth. What is the 25th term of this arithmetic sequence?{8, 5, 2,-1,-4, ...}Type the correct answer in the box. Use numerals instead of words. The volume of a cone is 50x cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to thenearest tenth A mother has one allele for dimples and one allele for no dimples. How manyof her gametes will carry the allele for dimples?A. 0%B. 25%C. 100%D. 50% 5 ejemplos de socializacion primaria y 5 de socializacion secundaria It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself? Please justify the answer Part A - find the diameter of the circle? Part B - Find the circumference of the circle ? Factor the expression below.x2 - 6x + 9A.(x + 3)(x + 3)B.3(x2 - 2x + 3)OC. (x-3)(x-3)OD.(x - 3)(x + 3) HELP Decide whether the underlined phrase is correct or incorrect as written.Tengo un libros. correctincorrect What is the connotation of the common use of "dialect?" How do you know? Answer in complete sentences. What is the sum of the geometric series 2+6+18+...+486? 7.5% of what is 7.38? a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete A telescope costs $98. It is on sale for 35% off. What is the cost of the telescope after the discount?