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

what is equivalent to k/2​

Answers

Answer:

k x 1/2

Step-by-step explanation:

because k x 1/2 = k/2

A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?

Answers

He should get $855. 28500 x 3% = 855

2x = 2y - 6 and y = x - 2

Answers

Answer:

2x=2y-6 equals x-y=-3 and y=x-2 equals x=2

Step-by-step explanation:

i hope this helps

What is the equation of a circle centered at the origin with radius 15 ?

Answers

The general form is x^2 + y^2 = r^2 where r = the radius of the circle. The radius is 15 so the equation is x^2 + y^2 = 15^2. That is x^2 + y^2 = 225.J

There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.

Answers

female students = 16/39
to get a percentage: (16/39)x100
percentage = 41%
the percentage is 41%

What is the slope of y = -4?

Answers

Answer:

0

Step-by-step explanation:

The line is horizontal.

Answer:   slope = 0

Explanation:

Think of y = -4 as y = 0x+(-4)

We see that the equation matches the form y = mx+b

m = 0 = slope

b = -4 = y intercept

Side note: this equation graphs out a horizontal line. All horizontal lines have a slope of 0.

help me please, i don’t get it loll

Answers

Answer:

subtract to find A

Step-by-step explanation:

You have to subtract and then that number that you get is a

Find the product.
10(-7)

Answers

Answer:

-70

Step-by-step explanation:

If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.

-70 (multiply what’s in the parenthesis and since there’s only one negative number in your problem it’s negative

(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27

Answers

Answer:

[tex]\frac{2}{81}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms in the sequence

r = [tex]\frac{-\frac{2}{3} }{2}[/tex] = [tex]\frac{\frac{2}{9} }{-\frac{2}{3} }[/tex] = [tex]\frac{-\frac{2}{27} }{\frac{2}{9} }[/tex] = - [tex]\frac{1}{3}[/tex]

To find a term in the sequence multiply the previous term by - [tex]\frac{1}{3}[/tex] , then

a₅ = - [tex]\frac{1}{3}[/tex] × a₄ = - [tex]\frac{1}{3}[/tex] × - [tex]\frac{2}{27}[/tex] = [tex]\frac{2}{81}[/tex]

pls answer i need the answer

Answers

Answer:

(-2,5)

Step-by-step explanation:

4x+4y=12

6x-4y=-32

10x=-20

x=-2

4(-2)+4y=12

-8+4y=12

4y=20

y=5

_________________________ 6​Harry is planning a holiday for 4 people for 7 days. Here are the costs for the holiday for each person. Travel​£150 Hotel​£50 for each day Spending money​£250 Work out the total cost of the holiday for 4 people for 7 days.

Answers

Answer: $3,000

Step-by-step explanation:

The cost for a single person is:

Travel      £150

Hotel       £50 for each day

Spending money       £250

Hotel is the only one that changes per the number of days so the total cost for a single person for 7 days is:

= 150 + (50 * 7) + 250

= 150 + 350 + 250

= $750

There are 4 people so the total cost will be:

= 750 * 4 people

= $3,000

Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?

Answers

Answer:360

Step-by-step explanation:g-g5

The rate of interest will be 0.35.

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest formula

[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]

and, the Amount is given by

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A is amount

P is principal

r is rate of interest

n is number of times interest is compounded per year

t is time

According to the given question

Principal, P = $210

Amount, A = $250

Time, t = 5 years

n = 1

Therefore, the interest rate is given by

Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]

⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]

⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]

⇒[tex]1.19 = (1+r)^{5}[/tex]

⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]

⇒ 1.035 = 1 + r

⇒ r = 1.035 - 1

⇒ r = 0.35

Hence, the interest rate is o.35.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ2


Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1

Answers

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

4. The Barber's have a circular flowerbed in their front yard. The want to put fertilizer
on half of the flowerbed. The flowerbed has a circumference of 8.5 feet. One bag of
fertilizer will cover 6 square feet. How many bags of fertilizer will they need to cover
half of the flowerbed?

Answers

Answer:

Wait what

Step-by-step explanation:

Answer:

2 bags

Step-by-step explanation:

Circumference is:

C = πr

Then the radius:

r = C/π = 8.5/3.14 = 2.7 ft

The area:

A = πr² = 3.14*2.7²= 22.89 ft²

Half of the area:

22.89/2 = 11.445 ft² ≈ 12 ft² rounded up

Fertilizer needed:

12/6 = 2 bags

Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?

Answers

Answer:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

4 months = 1/3 years

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]

$120,000 in 1 year

5years, 120,000×5 = $600,000

Answer:

here u go

Step-by-step explanation:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

Are these two triangles identical? Explain how you know in the box below.

Answers

Yes because they all have the same angles they are just rotated differently. If you compared them side by side you would see there the exact same triangle just in different positions

Answer:

No, The triangles are not congruent because the hypotenuse lengths are different.

Step-by-step explanation:

Please mark brainliest.

Find the length of x.

Answers

Answer:

5

Step-by-step explanation:

6/4 = 7.5/x

7.5/1.5=5

Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?

Answers

Answer:

3 spoons and 6 forks

Step-by-step explanation:

9 = x + y; x= 9-y

44 = 4x + 6y

44 = 4(9-y) + 6y

44 = 36 - 4y +6y

44 = 36 +2y

2y = 44-36 = 12

y = 12/2 =6

x= 9-y = 9-6 =3

Answer: she bought five spoons & four forks.

Explanation: 4 x 4= 16 + 6 x 4 = 24 + 4 = $44 or 4 x 5 = 20

Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK

a. 2

b. 1/2

c. -3

d. 2/3

Answers

Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5  true

c) -3 < 4/5  true

d) 2/3 < 4/5  true

Can someone help me with this ?

Answers

Answer:

remember powers is like multiplying that number by itself 3x3x3x3x3x3x3x3x3x3x3 ÷ 3x3x3x3

the second problem 3x3x3 × 3

(If that helps

BRAINLIEST ....................................

Answers

9514 1404 393

Answer:

  (b)  7720 mm² of paper

Step-by-step explanation:

The central horizontal rectangle of the net is 80 mm high and ...

  40 + 5.5 + 40 + 5.5 = 91

mm long. Its area 9 is ...

  (80 mm)(91 mm) = 7280 mm²

__

The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...

  2(40 mm)(5.5 mm) = 440 mm²

Then the area of paper needed for the wrapper is ...

  total area = 7280 mm² + 440 mm²

  total area = 7720 mm²

6 of 12
© Dale is following this recipe to make shortbread fingers.
Dale uses 150 g of butter.
How many shortbread fingers does he make?
Recipe: Makes 20 fingers
125 g butter
55 g sugar
180 g flour

Answers

Sorry I have the same one and I am waiting to someone solve yours

The diameter of a circl
10. d = 6.7 in.

Answers

Answer: is 6.7 inches

The slope of a line is -1/3, and the y-intercept is 10/3 . What is the equation of the line written in general form?

10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0

Answers

Answer:

x+3y-10=0 I hope it helps you

Which values from the set {0, 1/2 , 2.5, 4} make the inequality 8g < 4 true?

Answers

Answer:

only 0

Step-by-step explanation:

8g < 4 simplifies to g < 4/8, i.e., g < 1/2

only 0 is smaller than 1/2

Cuatro amigos van al cine dos veces al mes y siempre comen un paquete de palomitas de maiz cada uno si no comia palomitas de maiz los cuatro amigos podrian ir al cine tres veces al mes sabiendo que cada paquete de palomitas de maiz cuesta $28 cual es el precio de cada entrada al cine

Answers

Answer:

El precio de la entrada al cine es de $56

Step-by-step explanation:

Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28  ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:

                                           

                                                 28 x 2 =$56

El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.

Entonces podemos hacer la siguiente relación matemática: Precio total de las palomitas dos veces por semana = Precio de la entrada a cine.

solve for x and round to the nearest tenth. this is geometry. I will mark Brainliest. please help <3

Answers

Answer:

x= 41.8°

Step-by-step explanation:

use inverse trig to find x.

[tex]sin^{-1}[/tex]([tex]\frac{4}{6}[/tex])=x

type this into your calculator. (make sure the mode on your calculator is degree or it won't work)

x= 41.8

Hope This Helps:)

brainliest please

use inverse trig to find x

=x=41.8

I NEED HELPPPPP ASAPPPPPPP

Answers

true

Step-by-step explanation:

it's at an equal distance

How does the expression |9 -(-5)| relate to the numbers
-5 and 9 on the number line?

A) The expression shows that 9 is greater than -5.

B)The expression shows that -5 is to the left of 0
and 9 is to the right of 0 on the number line.

C) The expression represents the sum of -5 and 9.

D)The expression represents the distance between
-5 and 9 on the number line.

Answers

Answer:

to me B makes the most sense

Step-by-step explanation:

hope this helps :)

WHAT IS THE VALUE OF X PLEASE HURRY!!!!

Answers

Answer:

I think 48, since it's an equilateral triangle.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

cuz its a equilateral triangle

Other Questions
Please kind sir/lady help me with my home work UvU Which types of Alopecia are caused by the immune system attaching its hair follicles -7 2/3 + (5 1/2) + 8 3/4 = Need the answer asap What is the area of the composite shape? Please someone help me ASAP 4. Find the value of 8 + 12 + 4 + 6 x 1 + 2. Guys I am doing a test and I need help!! PLSS HELP the length of a rectangle is 3 meters greater than 2 times the width the perimeter of a rectangle is 30 m what is the length of the rectangle Ira and his wife's monthly payment included $1,256.61 for principal and interest, as well asone twelfth of the annual property taxes of $3,478.50 and one twelfth of the annualinsurance premium on the property of $1,186. What will the total monthly payment be? A water tank in the shape of a pyramid has a rectangular base with dimensions of 10 feet by 15 feet. The height of the rectangular pyramid is 12 feet. Water fills half the volume of the water tank. How many more cubic feet of water is needed to finish filling the water tank?(Explanations are appreciated along with your answer.) what is one great thing that happened recently to you (write a paragraph) Can someone explain this Dyes and Latex both have the same symptoms for those that have sensitivity to them. Identify the symptoms they share. What do the goose from charlottes web have in common with Mr. Arable I have dyslexia and i cant read this propertly nor undirtand it, could anione help? A couple comes to a genetic councilor concerned about their chances of having a baby with Tay Sachs disease. The husband had a sibling die of the disease, which is inherited as a autosomal recessive trait. What are the chances that he is a carrier? The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and length of this rectangle?PLS HELP ASAP!!!!!!!!!!!!!!!!! Consumer choices are limited Read the line from Act I of Julius Caesar .Brutus: Not I. I am not gamesome.What does the word gamesome mean as it is used in this line?energetic and excitedplayful and merryskilled and cunningscared and worried I NEED HELP WITH PAGE 1 PLEASE HELP FOR 25 points !!!!!!! Use the formula to determine the slope of the line containing the two points (-6,6) and (-3,4)A. -2/3B. 7/12C. -3/2D. -2/9