A support wire for a utility pole is 40 feet long. The wire is attached to the ground 24 feet from the base of the pole. How tall is the utility pole?

Answers

Answer 1

Answer:

32 feet

Step-by-step explanation:

given the following;

Length of wire = 40feet = hypotenuse

Base of the pole = 24 feet = adjacent

Required

Height of the pole (opposite)

Using the pythagoras theorem;

hyp^2 = opp^2 + adj^2

40^2 = 24^2 + opp^2

1600 = 576 +opp^2

opp^2 = 1600 - 576

opp^2 = 1024

opp = √1024

opp = 32feet

Hence the utility pole is 32feet tall


Related Questions

A line passes through the points (0, 3) and (10, 2). What is its equation in slope-intercept form?

Answers

Answer:

1. Find slope.

slope(m)

[tex] = \frac{y2 - y1}{x2 - x1} \\ [/tex]

[tex] \frac{2 - 3}{10 - 0} = \frac{ - 1}{10} [/tex]

2. Substitute any point. (either (0,3) or (10,2) to find the y-intercept (b)

y=mx+b

3=-1/10+b

b=31/10 or 3.1

so the final answer is

y= - 1/10 + 31/10 or y= - 0.1 + 3.1

A customer enters a store and purchases a pair of slippers for 5 dollars. He pays with a 20 dollar bill. The merchant asks the grocer next door for change. The merchant then gives the customer the slippers and 15 dollar change. The grocer discovers the 20 dollars is fake and tells the merchant to make good for it. The merchant does so. How much does he lose in this transaction?​

Answers

Answer:

he loses 5 dollars

Step-by-step explanation:

5+20=25

25-$20=5

The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to get to the bottom number. What are the possible values for m and n?

-8 and -3

8 and -3

4 and -6

-4 and 6

-8 and 3

-4 and -6 ​

Answers

4 and -6 because 4 times -6 equals -24 and if you add 4 and -6 the you get -2

License plate in a particular state display 3 letters followed by 3 numbers how many different licenses plates can be for this state

Answers

Answer:

What state? There is no state there

4. What is the slope of the line that passes
through the points (-6, -30) and (12, 24)?

Answers

Slope: (y2-y1)/(x2-x1)
(24-(-30))/(12-(-6)) = (24+30)/(12+6)
(54)/(18) = 3
The slope is 3

PLZ HELP I WILL GIVE BRAINIEST TO BEST ANSWERS!!!!

Answers

Answer:

Answers are all in pictures.

Divide top by bottom to see them in fractions

Mrs. Smith wants to leave a 15% tip for the waitress. If the cost of the
meal is $65.99, how much would the waitress receive for the tip (to the
nearest cent)?

Answers

Answer:

$9.90

Step-by-step explanation:

65.99 x 0.15 = 9.90

You have been evaluating cell phone providers. Double Mint Mobile has a $100 startup
fee and costs $30 per month for a cell phone plan. BT&T has a $20 startup fee and costs
$50 per month for a similar cell phone plan.
After how many months will both cell phone plans cost the same?

Answers

Answer:

4 months

Step-by-step explanation:

Let

x = number of months

Double Mint Mobile = 100 + 30x

BT&T = 20 + 50x

After how many months will both cell phone plans cost the same?

Equate the cost of both phone plans

Double Mint Mobile = BT&T

100 + 30x = 20 + 50x

100 - 20 = 50x - 30x

80 = 20x

x = 80/20

x = 4 months

Number of months = 4 months

1) Mrs. Pinkard is wrapping a present in a box. What is the total amount of wrapping paper he will need if the dimensions of the box are 4 inches in height, 8 inches in width, and 12 inches in length? *

Answers

Answer:

2,304

Step-by-step explanation:

4x8x12

4x8=32

32x12=384

384x6=2,304

NO ONE IS HELPINGGGGGGGG
You found Genie hidden in a dungeon. Genie is offering two different options for you as a reward for finding him. There are two options shown for you to choose. Which option would you choose? Explain your reasoning using the key features of exponential functions. (e.g. initial value, growth rate/growth factor, domain, range, etc)

Answers

Answer:

:D

Step-by-step explanation:

Please help if you want brianleist!!! Tyyy!! :}

Answers

Hey love! <3

Answer:

The area of the following figure would be A = 312cm^2

Step-by-step explanation:

To begin solving for the area of this question we should first calculate the triangles.

The triangles width are 10cm each, and the length for each triangle is 12/2, or 6. Remember the formula for finding the area of a triangle is length times width divided by 2

After calculating all four triangles you should get 30+30+30+30, or 120.

Now, lets calculate the large central rectangle, the formula for this is the basic length times width, so that would equal 192.

Thus, 192+120=312cm^2

Hope this makes things a little easier for you! ◕‿◕ Sincerely, Kelsey from Brainly.

~ #LearnWithBrainly ~

What are the slope and the y-intercept of the linear function that is represented by the equation Y --10x+1?
BARE
O The slope is -10, and the y-intercept is -1.
O The slope is -10, and the y-intercept is 1.
The slope is -1, and the y-intercept is -10.
O The slope is 1, and the y-intercept is -10.

Answers

Answer:

The slope is -10, and the y-intercept is 1.

Step-by-step explanation:

Assuming that the equation is y = -10x+1, the easiest way to identify slope and the y-intercept is by knowing the equation for slope-intercept (y = mx+b)

Equation for slope-intercept (y = mx+b) explained:

The equation is y = mx+b, let's break it down.

y = The line

m = The slope

b = The y-intercept

Now that we know the equation and broke it down you can identify them in your equation

Slope (m)= -10

y-intercept = 1

Conclusion: The slope is -10, and the y-intercept is 1.

If you know how to do this problem, please help me out!

Answers

Step-by-step explanation:

Parallel

[tex]y = - \frac{2}{5} x + 3[/tex]

Perpendicular

[tex]y = \frac{5}{2} + 4[/tex]

Answer:

Slope of a parallel line: 2/5

Slope of a perpendicular line: 5/2

Explanation:

Parallel lines function

1. y = -2/5x+(R-4)

Perpendicular line function

2. y = 5/2x

Patrick bought a Discounted pair of tickets to the Yankees game for 1/4 off the Original price. if the tickets costed $200 how much did patrick pay

Answers

Answer:

$50

Step-by-step explanation:

you multiply 1/4 with 200

this results in 50

1/4= .25

.25 x 200 = 50 !!!


The answer has to be in those answers.

Answers

Second answer

Explain- second answer

a +19 =43
can someone help me

Answers

Answer:

A= 24!

Step-by-step explanation:

just subtract 19 from 43, and that will give you what A equals!

Answer:

24

Step-by-step explanation:

43-19= 24

24+19= 43

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPP​

Answers

Answer:

The right answer is third option 68°.

What method could be used to prove the triangle congruent?

Answers

Answer:SSS

Step-by-step explanation:

Answer:

asa ,.............................

My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$

Answers

$6900

$5000+3.8%=$5190

$190x10=$1900

$5000+$1900=$6900

If sin θ =8/9. Find cot θ.

Answers

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E\: N}}} }: [/tex]

[tex] \large{ \tt{sin \: \theta = \frac{8}{9}}} [/tex] Here , Perpendicular ( p ) = 8 & hypotenuse ( h ) = 9

♨ [tex] \underline{ \underline{ \large{ \tt{ T \: O \: \: F \: I\: N\: D}}}} : [/tex]

[tex] \large{ \tt{cot \: \theta}}[/tex]

♨ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T\: I\: O \: N}}}} : [/tex]

First, Find the base ( b ) using Pythagoras theorem :

☪ [tex] \boxed{ \bf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

~Plug all the known values and then simplify!

⇾ [tex] \large{ \bf{ {9}^{2} = {8}^{2} + {b}^{2} }}[/tex]

⇾ [tex] \large{ \bf{81 = 64 + {b}^{2} }}[/tex]

⇾ [tex] \large{ \bf{64 + {b}^{2} = 81}}[/tex]

⇾ [tex] \large{ \bf{ {b}^{2} = 81 - 64}}[/tex]

⇾ [tex] \large{ \bf{ {b}^{2} = 17}}[/tex]

⇾ [tex] \large{ \bf{b = \sqrt{17}}} [/tex]

Now , Find the value of cot θ

We know ;

⟿ [tex] \large{ \bf{cot \theta = \frac{b}{p} = \boxed{ \bf{ \frac{ \sqrt{17} }{8}}}}} [/tex]

⤷ [tex] \boxed{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer : { \tt{ \frac{ \sqrt{17} }{8} }}}}}}}[/tex]

( Correct me if I'm wrong )

Hope I helped ! ♡

Have a wonderful day / night ! ツ

☄ Let me know if you have any questions regarding my answer !

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Pls I need help and do not post that link thank you

Answers

Bottom right :):):):)

Answer:

4 the one

hope 5hid will you

The equation y=5x represents the total cost, y, of buying x donuts at Store 1. The graph shows the total cost, y, of buying x donuts at Store 2

Answers

what graph? I don't see one

This is the graph for this question

Which is an example of a quadratic trinomial ​

Answers

Answer:

Option 1 4x^3+6x^2-10x

Step-by-step explanation:

when the highest value for x has a cube root, it is a trinomial. Tri for 3. When it is squared it is a binomial. Bi for 2.

Hope that helps :)

you deposit $50 in checks in your account with $100 cash amount, what is your total deposit? (answer in only numbers) $


I’ll give brainiest

Answers

Its 150 dollars because your adding 50 +100

identify the zeros of the polynomial function .

Answers

Step-by-step explanation:

To start, every term has an

x

in common, so we can factor that out. Doing this, we get

x

(

x

2

+

x

42

)

=

0

What I have in blue can be factored by a thought experiment. What two numbers have a sum of

1

and a product of

42

?

After some trial and error, we arrive at

6

and

7

. Thus, this business can be factored as

x

(

x

6

)

(

x

+

7

)

=

0

We can leverage the zero product property here, setting all three terms equal to zero. As our zeroes, we get

x

=

0

,

x

=

6

, and

x

=

7

Math but tell me don’t make me click on som link

Answers

Answer:

theres no question lol

Step-by-step explanation:

PLEASE HELP MEEEEEE i can’t figure out the volume!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

2,450

Step-by-step explanation:

Len x width x height

People use water to​ cook, clean, and drink every day. An estimate of 33.9​% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Answer:

23 gallons of water

Step-by-step explanation:

People use water to​ cook, clean, and drink every day. An estimate of 33.9​% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

This is calculated as:

33.9 % × 67.8 gallons of water

= 0.339 × 67.8 gallons of water

= 22.9842 gallons of water

Approximately = 23 gallons of water

Therefore, 23 gallons of water are used everyday for cooking

What is the diameter of a sphere which volume is 500/3 pi cm^3

Answers

radius is 5, diameter is 10

because 4/3 x 5^3 pi = 500/3 pi cm^3

4. Based on the original question, how many quarters and dimes must Jada have?

Answers

What Was The Original Question?
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