Mathematics High School

An 11-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 14 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
14
11
?

An 11-m Tall Building Casts A Shadow. The Distance From The Top Of The Building To The Tip Of The Shadow

Answers

Answer 1

Answer:

8.66 m

Step-by-step explanation:

Given that,

The distance from the top of the building to the tip of the shadow is 14 m

The height of the building is 11 m.

We need to find the length of the shadow. we can see that the length of the shadow forms the base of the triangle.

The distance from the top of the building to the tip of the shadow form hypotensue and height of the building forms perpendicular. So, we can use Pythagoras theorem to find the base.

So,

[tex]H^2=b^2+h^2\\\\b^2=H^2-h^2\\\\b=\sqrt{14^{2}-11^{2}}\\\\b=8.66\ m[/tex]

So, the length of the shadow is 8.66 m.

Related Questions

7(2 + 6 – 4d) = pl help me I don’t get it

Answers

Answer:

Step-by-step explanation:

1. 1 Simplify  2+6-4d to  -4d+8.

7 ( -4d + 8)

therefor, the answer is, 7( -4d + 8)

Answer:

7(2 + 6 - 4d) = 7(8 - 4d) = (56 - 28d)

Step-by-step explanation:

There is no possible answer to this equation but this is the most accurate equation, since you cant go any further, this is your simplified form.

At the country fair, Maya observes that the wheel of chance has 25 numbered slots. If each play costs a quarter, how much will Maya likely have to spend before she gets her winning number?

Answers

Answer:

6 1/4

Step-by-step explanation:

Given

Total number of wheel chance = 25

Each play = 1 quarter

1 play = 1/4

To calculate the amount Maya has to spend to get her winning number, we will say;

25 plays = x

Divide both expressions

1/25 = 1/4÷x

1/25 = 1/4x

Cross multiply

4x = 25

x = 25/4

x = 6 1/4

This mean that Maya will have to spend 6 1/4 before she gets her winning number

There are 48 grapes in a bag. Four friends are sharing the grapes.
Enter an equation that can be used to find out how many grapes g each friend will get If each friend gets
the same number of grapes.
The equation is ?

Answers

48 divided by 4

Step-by-step explanation:each freind gets 12 grapes

11 The table below shows the amount of a decaying
radioactive substance that remained for selected
years after 1990.
0
2
5
9
14
17
19
Years After 1990 (X)
Amount (9)
750
451
219
84
25
12
8
Write an exponential regression equation for this
set of data, rounding all values to the nearest
x thousandth. Using this equation, determine the
amount of the substance that remained in 2002, to
the nearest integer.

Answers

9 because 7x8 is one 29 so 8

Help me, correct answers appreciated ​

Answers

Answer:

No

Step-by-step explanation:

-6 is X

-10 is Y

-10 is smaller than - 8

Answer is -6
-10 is smaller than -8
-6 is greater than -8
So therefore -6 is the answer

What is the value ( 1.6 x -0.25) x 4 to the second power

Answers

Answer:

2.56

Step-by-step explanation:

( 1.6 x -0.25) x 4= -1.6

(-1.6)^2 = 2.56

how do you do this? its a 5 mark question​

Answers

You multiply both the sides and the top and add them

Answer:

336

Step-by-step explanation:

12*28

Jason unfolded a cardboard box. The figure of the unfolded box is shown below: A long rectangle divided along the length into 4 equal squares is shown. Along the upper edge length of the second square is shown another square, and along the lower edge length of the fourth square is shown another square. The first square from the left has two adjacent sides labeled as 10 inches each. Which calculation will give the total surface area of the cardboard, in square inches, that was used to make the box? (1 point) a 5 × 6 × 6 b 6 × 5 × 5 c 10 × 6 × 6 d 6 × 10 × 10

Answers

Answer:

The answer is the third one

Step-by-step explanation:

Hope I helped

what is half of 3/4 teaspoon?​

Answers

Answer:

One half of 3/4 teaspoon is equal to 3/8 or 0.375 teaspoons. One method of finding the answer in the fraction form of 3/8 is to multiply the fraction 1/2 by 3/4 : )

Step-by-step explanation:

One half of 3/4 teaspoon is equal to 3/8 or 0.375 teaspoons.

Here, we have,

given that,

what is half of 3/4 teaspoon

One method of finding the answer in the fraction form of 3/8 is

to multiply the fraction 1/2 by 3/4 ,

or, we can divide 3/4 by 2

i.e. 1/2 × 3/4

as, half = 1/2

so, we get,

=> 3/ 2×4

=> 3/8

=>0.375

Hence, One half of 3/4 teaspoon is equal to 3/8 or 0.375 teaspoons.

Learn more about the Division here:

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Granny Jane's famous cookie recipe calls for 6 cups of chocolate chips and makes 30 cookies. How many cups of chocolate chips will be needed if the recipe is quadrupled?​

Answers

Answer:

c

Step-by-step explanation:

it is right

The ratio of male to female players in Belfort Tennis Club is 3 : 5.
The club has a total of 240 players.
In the mixed doubles one male player partners one female player.

How many female players will not have a male partner?

Answers

There are 3x males and 5x females.
3x+5x =240
x = 30
males = 3x = 90
Females = 5x = 150
150-90 = 60 females without partner

Which relation is a function?

{(3, 4), (2, 4), (5, 1), (3, 5)}

{(1, 4), (1, 3), (1, 2), (1, 1)}

{(1, 3), (2, 6), (3, 9), (4, 12)}

{(3, 4), (3, 3), (1, 2), (1, 5)}

Answers

Answer:

its 1

Step-by-step explanation:

look it up big dig daddy

the third one.

explanation:

for it to be a function an x-value can never be the same. so therefore it’s the 3rd one.

Figure ABCD is reflected across the y-axis.
What are the coordinates of A' B', C. and D'?
Enter your answer by filling in the boxes.
AOD
10-0-7
B'OD
D'OD

Answers

Answer:

yreflection in y-axis (x, y) → (-x, y)  **the sign of the x-coordinate changes, the y value stays the same**

A'(1, 4)

B'(5, 8)

C'(5, 4)

D'(4, 2)

Step-by-step explanation:

Answer:

A'(1, 4)

B'(5, 8)

C'(5, 4)

D'(4, 2)

Step-by-step explanation:

took the test

Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Work out the value of R.
Give your answer correct to 1 decimal place.​

Answers

Answer:

2.4%

Step-by-step explanation:

The value of R is, 2.4%

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Louis invested £2950 in a savings account for 5 years.

He was paid 1.9% per annum compound interest for each of the first 4 years.

And, He was then paid R% interest for the fifth year.

Louis had £3257 in his savings account at the end of the 5 years.

Here, We know that;

⇒ Compound interest formula = Capital × (1 + r%) ⁿ

Where, n is time in years.

So, We can formulate;

⇒ £2950 × (1 + 0.019)⁴

⇒ £3180.67

And, For calculate R;

⇒ £3180.67 × (1 + R%)⁵ = £3257

⇒ R = 2.4%

Learn more about the simple interest visit;

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I’m really dum man and help me pls

Answers

Answer:

18 /25

Step-by-step explanation:

Multiply

3/5  × 6/5  = 18/25

3 /5  × 6/5  = ( 3 × 6 ) over ( 5 × 5 )

= 18/25

Hello There! Marie Here!

The answer is here:

18/25

HOPE THIS HELPS! HAVE A GREAT DAY!This is how you put it in the graph: (and btw make sure you drag the 0 to the big box)

I think it’s C am I correct

Answers

Answer:

yes you are correct it is c

Step-by-step explanation:

Find an order pair (x,y) that is solution to the equation 3x-y=8

Answers

Answer:

(2.67,-8)

Step-by-step explanation:

You first make x 0 so it is -3x0 to cancel that out to find y. You then see that you get -y=8 so you make y positive by moving the negative to the other side to get y = -8. Then, you do the same type of process for x and get 2.67. I could be wrong but wanted help as much as I could!

Solve by completing the square. x^2-10x-5=28

Answers

Answer:

Hey THERE

x=5+√58 or x=5−√58 is the answer

Step-by-step explanation:

x2−10x−5=28

Answer: look at the picture

Step-by-step explanation: hope this help :)

90 is 75% of what number

Answers

Answer:

120

Step-by-step explanation:

90 x 100 ÷ 75 = 120

PLLZZ helpp meeeee plzzzzz

Answers

Answer: Literally has to be 3830.7

Step-by-step explanation: If the money is compounded annually there has to be some sort of accumulation or increase in the account

_____% of 145 = 75
48.3%
193.3%
76.5%
51.7%

Answers

Answer:

51.7%

Step-by-step explanation:  

P x 145 = 75

P = 75 / 145

P = .5172

P = 51.7%

Have a nice day! <3

Simplify 5x ax 5 x a

Answers

Answer:2.a

Step-by-step explanation:

Mathilde has 20 pints of green paint. She uses 2/5 of it to paint a landscape and 3 /10 of it while painting a clover. She decides that, for her next painting, she will need 14 pints of green paint. How much more paint will she need to buy?

Answers

Answer:

8

Step-by-step explanation:

Total pints of paint = 20

For landscape :

2/5 * 20 = 8 pints

For clover :

3/10 * 20 = 6 pints

Total used = (8 + 6) = 14

Pints left = 20 - 14 = 6 pints

14 required for next painting

14 - 6 = 8 pints

8 more pints needed

Find the value of x
4
7
a

Answers

Step-by-step explanation:

a²+b²=c²

4²+b²=7²

b²=7²-4²

b²=49-16=33

Answer is

[tex] \sqrt{33} [/tex]

With the help of the Pythagoras theorem and further simplification, we get the answer as root 33 which is C. root 33

please help asap!!! ive done most of it

Answers

Answer:

what type of answer are you looking for exactly

Step-by-step explanation:

Hi if u could help me that'd be great

Answers

Answer:

1 hour and 45 minutes

and 1 hour

Step-by-step explanation:

x= run

y= walk

5x+2.5y = distance

5x+2.5(1.5)=12.5

solve for x

5x=8.75

x=1.75

1.75 in hours is 1 hour and (60*.75)=45

1 hour and 45 minutes

" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"

We use the same equation

5x+2.5y=distance

we'll assume that they till walked 12.5 miles

which means that

5(2)+2.5y=12.5

solve for y

2.5=2.5y

y=1

1 hour

Answer:

Everybody, everybody

Get out on the floor

It can get a little crazy

When the kick hits the floor

Make a scene Make a scene

Nobody can ignore

Don't knock it, til you rock it

We can't take it no more!

Bring the lights up!

Bust the doors down!

Dust yourself off,

Shake it up!

Shake it up!

DJ set it off!

Take it up a notch

All together now!

Shake it up!

Shake it up!

Step-by-step explanation:

Hey is this math problem be completely factored?
5(m^2+9m)

Answers

Answer: Yes!

Step-by-step explanation:

Nothing has been distributed because there is still 5(m^2+9m) which would mean it has not been multiplied by anything yet.

Written as a simplified polynomial in standard form, what is the result when
(x - 2)^2is subtracted from 9x^2-8x?

Answers

Answer:

9x^2 - 10x -4

Step-by-step explanation:

It is set up like this

     9x^2 - 8x

-              (x-2)2

First solve (x-2)2

the answer is (2x-4)

so now you can do this instead

    9x^2 - 8x

-              2x - 4

----------------------------------

9x^2 - 10x +4

9x^2 minus zero is 9x^2

-8x-2x is -10x

0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive

A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus

like this

    9x^2 - 8x

+              -2x + 4

----------------------------------

9x^2 - 10x +4

Answer:

8x^2-4x-4

Step-by-step explanation:

On delta math

Add (y + 2x + 5) + (3y - 3x +1)

Answers

Answer:

4y-x+6

Step-by-step explanation:

Answer:

3y-x+6is answer.good luck

Step-by-step explanation:

(y + 2x + 5) + (3y - 3x +1)

y + 2x + 5+3y - 3x +1

y+2y+2x-3x+5+1

3y-x+6

4t + 5 = -9
Solve for t

Answers

Answer:

t = -3.5

Step-by-step explanation:

4t + 5 = -9

4t = -14

t = -3.5

Answer:

t=1

Step-by-step explanation:

subtract 5 from both sides then simplify and divide

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