A telephone pole is 54 feet tall. A guy wire runs 79 feet, from point A at the top of the telephone pole, to the ground at point B. The base of the telephone pole is at point C. Triangle ABC is a right triangle.

How far is it from the base of the telephone pole to point B where the guy wire is secured to the ground? Round to the nearest tenth of a foot.

ft

Answers

Answer 1

Answer:

57.7 ft

Step-by-step explanation:

54 squared + b squared = 79 squared

2916 + b squared = 6241

-2916                        -2916

b squared = 3325

b = 57.7

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Answer 2

The distance that the base of the telephone pole to point B where the guy wire is secured to the ground is 57.7 feet

What is Pythagoras Theorem?

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given that triangle ABC is a right triangle.

Point A is the top of the telephone pole.

Point B is the point on the ground.

Point C is the base of the telephone pole.

Given,

AB = 79 feet

AC is the height of the telephone pole = 54 feet

Angle C is a right angle.

Using Pythagoras theorem,

(AB)² = (AC)² + (BC)²

79² = 54² + (BC)²

(BC)² = 79² - 54²

(BC)² = 3325

BC = √3325 = 57.66 ≈ 57.7 feet

Hence the length of the base of the pole form the ground where the wire is secured is approximately 57.7 feet.

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Related Questions

Rewrite the expression without parentheses.
12m - (3 + 8m)

Answers

Answer:The answer is 1m

Step-by-step explanation:

12 - (3+8m)

(3+8m)=11m

12-11m =1m

Determine whether the expression is a polynomial. If it is a polynomial, find the degree
and determine whether it is a monomial, binomial, or trinomial.
3y^2 – 2

Answers

Answer:

This expression is a polynomial. The largest exponent is 2, therefore, it is in the quadratic degree. It is a binomial because it has two parts: 3y² and -2.

Ordena de menor a mayor 13 5 10 10 4 6 5 59 29 50 24​

Answers

Answer:24

Step-by-step explanation:

lol

90 X 2 please help will give brainliest

Answers

Answer:

180

Step-by-step explanation:  90 + 90 = 180   pls mark me brainliest. hope this helps :)

write the equation of the cirlcle with diameter endpoints of (-6,3) and (-14,13)

Answers

Answer:

(x+10)² + (y-8)² = 41

Step-by-step explanation:

First, we find the length of the diameter.

from distance formula, d = SQR ROOT OF [(-14+6)² + (13-3)²]

diameter = SQR ROOT OF [8² + 10²] = √164 = √4√41 = 2√41

*****    so the radius is half that, r =√41

The center of the circle is at the midpoint of the diamater.

x = (1/2)(-6 + -14) = (1/2)(-20) = -10

y = (1/2)(3 + 13) = (1/2)(16) = 8

center (h,k) = (-10,8)

circle equation: (x-h)² + (y-k)² = r²

(x- -10)² + (y - 8)² = (√41)²

(x+10)² + (y-8)² = 41

Sorry it took a while.




Area as a sum:
Area as a Product:


I need the are as a sum Nd a product

Answers

Given:

The area model.

To find:

The area as a sum and area as a product.

Solution:

The four terms of the area model are [tex]2x^2,10x, 3x, 15[/tex].

The area as a sum is the sum of all the terms of given area model.

Area as a sum = [tex]2x^2+10x+3x+15[/tex]

                        = [tex]2x^2+13x+15[/tex]

The area as a product is the factor form of sum of all the terms of given area model.

Area as a product = [tex]2x^2+10x+3x+15[/tex]

                        = [tex]2x(x+5)+3(x+5)[/tex]

                        = [tex](x+5)(2x+3)[/tex]

Therefore, the area as a sum is [tex]2x^2+13x+15[/tex] and the area as a product is [tex](x+5)(2x+3)[/tex].

Dan has twice as many stickers as Cam does. If Dan gives Cam 15 of his stickers he will still have 22 more than Cam. How many stickers does each boy have?

Answers

You can solve this question by setting up an equation. Dan has twice as many stickers as Cam does. We can call Dan 2x, and Cam x. So the equation would be:
2x-15=x+22.
Then solve this equation:
Add 15 on both sides
2x=x+37
Subtract x on both sides
2x-x=37
X=37.
Therefore Cam has 37 stickers, and Dan has 74 stickers.

8 = –(q + –6) + 18
solve for q

Answers

Answer:

q=16

Step-by-step explanation:

math

way

.com

Answer:

q = 16

Step-by-step explanation:

can someone help me wit dis?​

Answers

Answer:

2

Step-by-step explanation:

the answer is 7
3x+10=31
-10 -10
3x=21
/3 /3
x= 7

at a local gym you can either pay $90 for a monthly pass then pay for dollars each time you go to the gym or you can pay $13 each time you go with no monthly pass fee if you're going to the gym 17 times in a month which option is better​

Answers

Answer:1st option

Step-by-step explanation:

Identify the slope and y-intercept of the graph of the equation. y =3/5 x + 1

Answers

Answer:

slope = 3/5

y intercept = 1

Step-by-step explanation:

i think

Answer:

Slope: 3/5

Y-int: 1

Step-by-step explanation:

Slope intercept form is y=mx+b, with m being the slope being the y-int. So, m is 3/5 and b is 1 in the equation.

(hope this helps :P)

At the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on.
If you have $28, how many rides can you go on? *
1 point

Answers

Answer:

18.6

Step-by-step explanation:

28 divided by 1.50 equals 18.6

The number of rides will be equal to 12 in the Carnival.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on. The total amount is $28.

The number of rides will be calculated by forming an equation below,

A = 10 + 1.5R

28 - 10 =1.5R

1.5R = 18

R = 18 / 1.5

R  = 12

Therefore, the number of rides will be equal to 12 in the Carnival.

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The graph shows two linear functions, f and g. Which formula BEST represents g(x)?
A)g(x) = 2f(x)
B)g(x) = 3f(x)
C)g(x) = 1/2f(x)
D)g(x) = 3/2f(x)

Answers

Answer: C

g(x) = 1/2 f (x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Please help. Don't answer if you don't know please.​

Answers

the first option is the answer (do u need working?)

Answer:

Number 4

Step-by-step explanation:

12-2 is 10, 9-3 is 6.

In a bag of marbles, 1/2 are red, 1/4 are blue, 1/6 are green and 1/12 are yellow. You pick a marble without looking. What color marble are MOST likely to be choose?

Answers

Answer:

Its red becasue 1/2 is greater than all of them

The most likely color of the marble that will be chosen is red.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Number of red marbles in the bag=1/2

Number of blue marbles in the bag=1/4

Number of green marbles in the bag=1/6

Number of yellow marbles in the bag=1/12

Now,

To determine the most likely color of the marble that will be chosen, we need to calculate the probability of selecting each color. The probability of selecting a red marble is 1/2, the probability of selecting a blue marble is 1/4, the probability of selecting a green marble is 1/6, and the probability of selecting a yellow marble is 1/12.

To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12. So, we can rewrite the probabilities as:

Probability of selecting a red marble = 6/12

Probability of selecting a blue marble = 3/12

Probability of selecting a green marble = 2/12

Probability of selecting a yellow marble = 1/12

Since the probability of selecting a red marble is the highest among all the colors, it is the most likely color to be chosen.

Therefore, by probability the answer will be red marble.

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Pls help me add me on ig hairstyles2530

Answers

Answer:

Step-by-step explanation:

If the given lengths of 7cm, 24cm, and 25cm for the sides of a triangle satisfy the equation of the Pythagorean theorem then yes!

Bryans gocket team is purchasing jersys. The company charges $250 for the onetime set-up fee and $23 for each printed jersey which expression repressents the total cost of x number for the team

Answers

Given:

The company charges $250 for the onetime set-up fee and $23 for each printed jersey.

To find:

The expression that represents the total cost of x number for the team.

Solution:

We have,

Fixed charges = $250

Additional charges = $23 per printed jersey

Let x be the number of printed jersey. Then,

Additional charges = $23x

Total chargers = Fixed charges + Additional charges

                        = $(250 + 23x)

Therefore, the expression for the total charges is $(250 + 23x).

what is the unit rate of a car going 780 miles in 20 hours

Answers

Answer:

39 miles per hour.

Step-by-step explanation:

780/20 = 39

Write down in terms of n an expression for the nth term of the following sequence
12 16 20 24 28

Answers

Answer:

4n + 8

Step-by-step explanation:

can someone please help me quickly??

Answers

Answer:

i think your answer would be 35

Step-by-step explanation:

oh sorry it's answer is 42.

calculate by adding all the individuals less than 40

Sara has 600 quarters and dimes in her piggy bank which totals $123.75. How many quarters and
how many dimes does she have?

Answers

Answer: well each quarter is .25c and 600x.25=150 which is over $123.75. So, this is a trick question or this question is not possible to answer.

Step-by-step explanation:

im confused can someone help me

Answers

Answer:

y intercept is -8

slope is 3x

Step-by-step explanation:

the definitions of them speak for themselves

42% OF WHAT NUMBER IS 2? If you could please use the fiery cross?​

Answers

Answer:

2100

Step-by-step explanation:

Sorry i dont know what the fiery cross is

The number of subscribers to a newsletter decreased from 2400 to 1944. What was the percent of decrease in circulation?

Answers

the percentage decrease is 19%

Sum of interior angle of a pentagon

Answers

Answer:

540

Step-by-step explanation:

(n-2) 180

(5 -2) 180

3 x 180

540

HELP PLEASE!
A large pine tree was struck by lightning and fell as shown by the diagram below. Which equation could be used to find the length of the fallen part of the tree

Answers

Answer:

Option C should be the answer.

im not sure how to do this ​

Answers

Step-by-step explanation:

plz make me brainliest ....

Given the following 30-60-90 triangle , find the value of x and y Round to the nearest tenth x = 5.2 X = 6 Y = 6 Y = 5.2​

Answers

Step-by-step explanation:

tan30° = Opposite/Adjacent = 3/x.

=> 3/x = √3/3, x = 3√3 = 5.2.

sin30° = Opposite/Hypotenuse = 3/y.

=> 3/y = 1/2, y = 6.

The correct answer is the 1st and 3rd options.

Answer:

[tex] \huge \boxed{ \boxed{ \sf \: x = 5.2 \atop\sf y = 6}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASgiven:[tex] \theta = {30}^{o} [/tex]opp:3to find:adjacent (x)hypotenuse (y)tips and formulas:[tex] \tan( {30}^{o} ) = \frac{ \sqrt{3} }{3} [/tex]tan(a)=opp/adjsin(a)=opp/hypo[tex] \sin( {30}^{o} ) = \frac{1}{2} [/tex]let's solve:

according to the question

[tex] \tan( {30}^{o} ) = \frac{3}{x} [/tex]

[tex] \frac{ \sqrt{3} }{3} = \frac{3}{x} \\ x\sqrt{3} = 9 \\ x = \frac{9}{ \sqrt{3} } \\ x = 3\sqrt{3} \\ x = 5.2[/tex]

according to the question

[tex] \sin( {30}^{o} ) = \frac{3}{y} [/tex]

[tex] \frac{1}{2} = \frac{3}{y} [/tex]

[tex]y = 6[/tex]

1/3 divided by 3 = ?

9 divided by 1/3 = ?

Answers

Answer:

1/3 divided by 3= 1/9

9 divided by 1/3= 27

Step-by-step explanation:

given: x+y=10 if x=-21, what is y?

Answers

Answer: y = 31

Step-by-step explanation: all you need to do is plug in the x

since x = -21 we can put: -21 + y = 10

now we add 21 to both sides giving us: y = 31

Answer:

(-21,22)

Step-by-step explanation:

x+y=10

x=-21

subtitue the x value

-21+y=2

solve for y

y=22

Then write your answer by ordered pair

(-21,22)

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