A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?

Answers

Answer 1

Answer:

53.2 ft

Step-by-step explanation:

A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?

We solve the above question using the Trigonometric function of Sine

sin theta = Opposite/Hypotenuse

Theta = 70°

Hypotenuse = x = Length of the wire

Opposite = 50ft antenna

Hence,

sin 70 = 50/x

Cross Multiply

50 = sin 70 × x

x = 50/sin 70

x = 53.208888624 ft

Approximately x = 53.2 ft

The length of the wire is 53.2 ft


Related Questions

22. If 1 student is selected at random from the table below, what is the
probability that the student is from a family that has 3 or 4 children?
A) 2/9
B) 2.27
C) 7/27
D) 1/3

Answers

9/27 people have 3-4 kids
Simplified to 1/3.

Answer:

c. 7/27

Step-by-step explanation:

add 5 +10 + 7 + 2 + 2 + 1 = 27

3 + 4 = 7

7/27

Daquan has $500 in a savings account at the beginning of the school year. He wants to keep at least $200 in the account by December for Christmas presents. If he withdraws $25 each week for clothes and movie tickets, write and solve an inequality to determine how many weeks can he withdraw money from his account?

Answers

The answer is 12 weeks
The inequality would be 500 is greater than or equal to 200+25x. Then x=12. First subtract 200 from 500 then divide 300 by 25.

Using the graph below, find A, H, and K.​

Answers

Answer:

Step-by-step explanation:

A:(2,7)

H:(4,3)

K:(6,7)

im really guessing here about the order of the pairs

(the ordered pairs are right im just not sure the order i have it in is right please let me know)

Can someone help please

Answers

Answer:

What do you need help with?

Step-by-step explanation:

y axis is up 3 then go up 1 to the let 4 then down 1 right 4

Solve for y. 2(3y-7)=16​

Answers

Answer:

y=5

Step-by-step explanation:

First, distribute the 2 to the 3y and -7

6y - 14 = 16

Second, add 14 to both sides.

6y = 30

Third, divide both sides by 6

y = 5

As you can see y equals 5!

I hope the explanation helped and have a great day!

Answer:

y = 5

Step-by-step explanation:

2(3y - 7) = 16

distributive property:

2(3y - 7) = 16

6y - 14 = 16

add 14 on both sides

6y - 14 + 14 = 16 + 14

6y = 30

divide both sides by 6 :

[tex]\frac{6y}{6} = \frac{30}{6}[/tex]

y = 5

to check, subtitute 5 for y

2 (3(5) - 7) = 16

2(18 - 7) = 16

30 - 14 = 16

16 = 16

Jane's cell phone plan is $58 each month plus $0.20 per minute for each minute over 200 minutes of call time. Jane's cell phone bill last month was $67.00. Write an equation that can be used to determine the number of minutes over 200 that Jane was billed. How many minutes over 200 was Jane billed last month?

Answers

Answer: 45 minutes more than 200

Step-by-step explanation:

So for every minute over 200 jane has to pay 0.20 cents per additional minute. The equation we can use is $58+0.20m=$67 where m is the amount of minutes after 200 jane has to pay 20 cents per

58+0.20m=67

0.20m=9

m=45

So Jane was billed for 45 minutes over 200 minutes last month. so in total 245 minutes and she was charged for the extra 45 minutes


Suppose a motorcycle costs $8,000 and loses 4% of its value each year. What will be the value of the motorcycle after 7 years?

Answers

Answer: $6,012

Step-by-step explanation:

if the simplified equation is 8,000(0.96)^7, plug it into desmos and round it

Please answer!! Its due today!

Answers

answer:

20 degrees

explanation:

90 + 70 = 160
180 - 160 = 20

What is the product of -3 1/3 and -8 7/10?

Answers

Answer:

29

Step-by-step explanation:

-3 1/3 • -8 7/10

-10/3 • -87/10

870/30

29

Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?

Answers

9514 1404 393

Answer:

  24 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3s²h

where s is the side length of the square base, and h is the height.

  V = (1/3)(3 cm²)(8 cm) = 24 cm³

The volume of the pyramid is 24 cm³.

5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged $450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?

Answers

Answer:

Results are below.

Step-by-step explanation:

First, we need to calculate the variable income per job:

First job= 450 - 150= 300

Second job= 675 - 150= 525

Now, the hourly rate:

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

PLEASEEEEEEEE HELP MEEE

Answers

Answer:

1) 42qt

2) 48cd

3) 54fgjk

Step-by-step explanation:

(0.24) divided by 6/10

Answers

Answer:

0.4

Darling, all you need to do is, factor the numerator and denominator and cancel the common factors, and you'll get the answer 0.4.

Expanding a garden. The dimensions are 25 feet by 25 feet. I bought 10 cubic yards of soil. How many inches thick will the new dirt cover

Answers

Answer:

The thickness of the new dirt cover is 0.144 yards.

Step-by-step explanation:

Dimension of garden = 25 feet by 25 feet.

Volume of soil bought = 10 cubic yards

Volume = length x width x height

But,

1 foot = 0.333333 yard

So that,

25 feet = 25 x 0.333333

            = 8.33333 yards

The new dimension of the garden = 8.33333 yards by 8.33333  yards.

Let the thickness of the new dirt cover be represented by h.

Thus,

Volume = 8.33333 x 8.33333 x h

10 = 69.44439 x h

h = [tex]\frac{10}{69.44439}[/tex]

  = 0.144

h = 0.144 yards

The thickness of the new dirt cover is 0.144 yards.

Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?

Answers

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in gas from last week to this week?

Answers

Answer:

.12%

Step-by-step explanation

2.61-2.49= 0.12

.12%

At his after school job, Tommy grossed $4,020 for the year. Based on his
income level, the federal tax rate he'll need to pay is 10%. For his state taxes,
Tommy will need to pay 4.75%. FICA is 7.65%. What is Tommy's net pay for
the year?
A. $3,521.52
O B. $3,119.52
C. $402.00
D. $3,618.00

Answers

Answer: B. $3,119.52

Tommy will need to pay 4.75%. FICA is 7.65%. Tommy's net pay of $3,119.52.

At his after-school job, Tommy grossed $4,020 for the year. Based on his income level, the federal tax rate he'll need to pay is 10%. For his state taxes.

What is the federal tax?

The federal income tax is a tax on annual earnings for individuals, businesses, and other legal entities. All wages, salaries, cash gifts from employers, business income, tips, gambling income, bonuses, and unemployment benefits are subject to a federal income tax.

Tommy will need to pay 4.75%. FICA is 7.65%.

Tommy's net pay of $3,119.52.

To learn more about federal tax visit:

https://brainly.com/question/1775528

#SPJ2

Find the difference using fraction bars or a paper and pencil. Write your answer in simplest form. 7/10 - 1/2

Answers

Answer:

1/5

Step-by-step explanation: First, turn 1/2 so that the denominator is the same as the other fraction (multiply both by 5 to get 5/10). Now subtract to get 2/10. Then, divide both by 2 to get the fraction in the simplest form.

Answer:

0.2

Step-by-step explanation:

because u have to subtract it  

plsss help i’ll give brainliest if you give a correct answer

Answers

The value of x is 23

Answer:

x = 23

Step-by-step explanation:

I hope this helps! Have a good day! :)

Dorian is making an ice cream sundae. He has three flavors of ice cream, two flavors of syrup, and three types of toppings. If he chooses one flavor, one syrup, and one topping, how many different combinations can he make?

Answers

Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.

Please help RIGHT NOW PLEASE HELP NOW

Answers

1. it describes what the cost would be for two medium lattes and one small latte all together.

2. it would be the first one which is 2x + y = 7.15

Step-by-step explanation:

Find (ƒ – g)(x) ƒ(x) = 3x2 – 2x g(x) = 9x2 – x + 7

Answers

Answer:

Step-by-step explanation:

Swear were in the same math bro

f(x)=3x^2-2x g(x)=9x^2-x+7

-6x^2-x-7

DO NOT TELL ME TO DOWNLOAD ANYTHING ON tinyclick.ml/7hTq JUST ANSWER THE DANG QUESTION oh yeah brainiest and 15points

Answers

Answer:

5376

Step-by-step explanation:

12 x 16 x 28

Please help me! No it doesn’t give me the numbers or the volume. If you help I will mark Brainliest!

Answers

The volume = LBH = x²y

.°. If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1/3xVolume of prism.

The volume of Pyramid = 1/3*y

h = 3 *1/3x²y/

h = 3*1/3x²y*1/

h = 3*1/3y

h= y

How can I solve x? I don't know if I should be looking for an angle or where to begin.

Answers

Answer:

ik this wont help much but I forgot the name of the topic but search it up and search up the formula which is what you are supposes to do by using that formula

i need this pls answer

Answers

Answer:

The answer to the problem is Leah had the shortest distance.

Step-by-step explanation:

Okay to solve this problem we must covert the fractions into decimals

(Maria) 5/6 as a decimal = 0.83

(Leah) 2/3 as a decimal = 0.66

(Jonas) 3/4 as a decimal  0.75

So who had the shortest distance??? Leah had the shortest distance.

Hope that helps. Please mark me brainliest I would appreciate it.

find the lenght of gh

Answers

Answer:

C.about 4.5 units got 100%

Step-by-step explanation:

the roof of the clock tower is a square pyramid each side of the base is 16 ft the slant height is 22 ft what is lateral area of the roof​

Answers

Answer:

Need more points lang sorry

Jamal and Betty shared a pizza that was cut into 10 equal slices, Jamal ate 1/2 and Betty ate 1/5 of the pizza.What percentage did Jamal and betty eat together? A.20% B. 50% C.70% D.100% (please help me)

Answers

Answer:

C) 70%

Step-by-step explanation:

There are 10 slices so 1/2=5/10 So Jamal ate half the pizza which would be 5 slices.

Betty ate 1/5=2/10 So Betty ate 2 slices of Pizza.

Brainliest plz

Answer:

1/2=5/10

1/5=2/10

2/10+5/10=7/10

7/10=70%

Step-by-step explanation:

(3+7i)+(-5+2)-(-7+6i)

Answers

don’t press the file it’s fake
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