A pole that is 2.9 m tall casts a shadow that is 1.77 m long. At the same time, a nearby
tower casts a shadow that is 47.25 m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer 1

Answer:

77 m

Step-by-step explanation:

The 2 situations are similar , so the ratios of corresponding sides are equal.

let h be the height of the tower, then

[tex]\frac{2.9}{h}[/tex] = [tex]\frac{1.77}{47.25}[/tex] ( cross- multiply )

1.77h = 137.025 ( divide both sides by 1.77 )

h ≈ 77 m ( to the nearest metre )


Related Questions

About 1 liter of water is left in a water cooler. How much water was in the cooler when it was full

Answers

Answer:

Step-by-step explanation:

The amount of water that was in the cooler initially is dependent on the amount of water in the cooler now(that is, what is remaining). And also, the rate of which water was being used. If the rate at which water was being used was 10 liter/hour, this means that an 11 liter cooler would remain 1 liter after an hour. Because 10 liters must have been used within the said hour.

Answer:

10 liters

Step-by-step explanation:

Factorise using the sum and product method with all the steps!
British curriculum

No links or websites please !

Answers

Answer:

(2x+3)(x-5)

Step-by-step explanation:

Given the expression 2x²-7x-15

Factorize

2x²-10x+3x-15 =0

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

(2x+3)(x-5)

Hence the factored form of the expression is (2x+3)(x-5)

HI thts way tooo much to answer but ye

What is the area in square centimeters of the trapezoid below​

Answers

Answer:

39.6 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is given as:

Area of a Trapezoid = 1/2(a + b) h

Where, from the question:

a = 8.9 cm

b = 5.5 cm

h = 5.5cm

Hence,

1/2 (8.9cm + 5.5cm) × 5.5cm

= 1/2 × 14.4 cm × 5.5 cm

= 39.6 cm²

Area of the Trapezoid = 39.6 cm²

Help I’ll give brainliest!!

Answers

Answer:

Slope is -2.8 so D

Step-by-step explanation:

I got -14/5 which converted is -2.8

Derrick started a new job at McDonald's. He makes $10 per hour. Which
equation models his total weekly earnings y, in terms of the number of
hours he works x? *

Answers

Answer:

10x=y.

Step-by-step explanation:

10 represents the amount he earns an hour. X represents the number of hours so 10x. 10 times the amount of hours equals y (total amount of money)

Answer:

y = 10x

Step-by-step explanation:

The total earnings, y, is equal to the hourly rate, 10, times x, the hours worked.

y equals 10 times x, or, in equation form, y = 10x.

I hope this helps ^^

Which function has the same range as
f(x)= -2sqrt (x-3)+8

Answers

Answer:

Answer: : g(x)=-sqrt(x+3)+8

Step-by-step explanation:

The function has the same range is the third one:

g(x)=-sqrt(x+3)+8

The range of this function is:

x+3>=0

sqrt(x+3)>=sqrt(0)

sqrt(x+3)>=0

Multiplying the equation by -1:

-1[ sqrt(x+3)>=0]

- sqrt(x+3)<=0

Adding 8 both sides of the equation:

- sqrt(x+3)+8<=0+8

- sqrt(x+3)+8<=8

g(x)<=8

Then Range g(x)= (-Infinite, 8]

Answer: Third option: g(x)=-sqrt(x+3)+8

Find the Area of the Trapezoid.

Answers

Answer:

18 ft^2

Step-by-step explanation:

Please help...My answer is close but not close enough..

No links :)

Answers

Answer:

76

Step-by-step explanation:

(5x3)+(5x3)=30

15-6=9

5x9=45

45+30=75

Since 76 is the closest to 75 it's 76

Can someone please help!

Answers

Answer:

- 3+2x/x-3

Step-by-step explanation:

A music store has 10 flutes costs $325.50 what is the cost of 10 flutes​

Answers

About $32.55 but you can round it to $33
325.50
The 10 flutes at the store cost 325.50 it was said in the question

An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters above the ground. It shoots out a drop of water at a vertical velocity of 14 meters per second. Function h models the height in meters, h, of a drop of water t seconds after it is shot out from the nozzle. The function is defined by the equation h(t)=−5t2+14t+3. How many seconds until the drop of water hits the ground?

Answers

Answer:

After 3 seconds

Step-by-step explanation:

Given

[tex]h(t) = -5t^2 + 14t + 3[/tex]

Required

Time the drop will hit the ground

When the drop hits the ground,

[tex]h(t) = 0[/tex]

So, we have:

[tex]0 = -5t^2 + 14t + 3[/tex]

Rewrite as:

[tex]5t^2 - 14t - 3 = 0[/tex]

Expand

[tex]5t^2 + t - 15t - 3 = 0[/tex]

Factorize

[tex]t(5t + 1) -3(5t + 1) = 0[/tex]

Factor out 5t + 1

[tex](t -3)(5t + 1) = 0[/tex]

Split

[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]

Solve for t

[tex]t = 3[/tex] or [tex]5t = -1[/tex]

Time cannot be negative.

So:

[tex]t = 3[/tex]

Julius bought F boxes of 24 plastic forks. He already had 39 plastic forks. Now, he has 135 plastic forks. How many boxes of plastic forks did Julius buy in all?

Answers

Julius bought 4 boxes of plastic forks

PLEASE HELP!
Use the bar graph to find the relative frequency of the event.
The relative frequency of spinning a 6 is ___

Answers

i think its 7

Hope this helps

-scav

Answer: 14%

Step-by-step explanation:

Just answer the question in the picture. It's just math vocab! DO NOT answer for points OR SPAM LINKS!!! I will REPORT!

Answers

Answer:

A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The distance from the center to the circumference of a circle

The diameter is the length of the line through the center that touches two points on the edge of the circle.

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

In plane geometry, a chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.

A line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. The diameter is twice the size of the radius. A line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. A circle is the same as 360°.

A line that intersects two or more points on a curve. (From the Latin secare "to cut")

The length of the side opposite the angle divided by the length of the adjacent side.

A line that intersects a circle in exactly one point is called a tangent and the point where the intersection occurs is called the point of tangency. The tangent is always perpendicular to the radius drawn to the point of tangency. A secant is a line that intersects a circle in exactly two points.

Common tangents to two circles may be internal or external. A common internal tangent intersects the line segment connecting the centers of the two circles whereas a common external tangent does not.

Step-by-step explanation:

they are in order! tell me if i made a mistake:)

Write the radius of each circle.
1. (x - 2)2 + (- 5)2 = 36 r=
2. x2 + y2 = 25 r =
4. x2 + y* = 49 r =
3. (x-8) + (y + 3)2 = 9
r=
Write the equation of each circle.
5. Circle L with center L(4, -3) and radius 5
6. Circle A centered at the origin with radius 6
7. Circle D with center D(3, 3) and radius 2
8. Circle M with center M(0.-2) and radius 9

Answers

Answer:

1. 6

2. 5

3. 3

4. 7

5. (x-4)2 + (y+3)2 =25

6. x2+ y2 = 36

7. (x-3)2+(y-3)2 = 4

8. x2 + (y+2)2 = 81

Step-by-step explanation:

use formula (x-h)2 + (y-k)2 = r2

where (h,k) is center and r is radius

What is the difference between the number of solutions for a two-step equation and for a two-step inequality

Answers

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

whowever answers any 2 I will follow them​

Answers

Answer:

1. x = 5 y = 6

2. x = 3 y =5

3. x = 2 y = 4

4. x = 2 y = 1/2

5. x = 6 y = 4

6. x = 2 y = 1

Step-by-step explanation:

i hope it helps u

a half dollar is 3.86 mm thick. a penny is 1.2 mm thick. what is the thickness of both coins combined?

Answers

Answer:

5.06

Step-by-step explanation:

hope this helps

(if correct, can u plz mark as brainliest?)

Answer:

8.92 mm

Step-by-step explanation:

thickness of combination = (3.86)2 + 1.2 = 5.06 + 3.86 = 8.92 mm

I edited its correct now plz mark me

Mr. Smith wants to buy some new shirts to wear at work. He hears that button down shirts are 30% off at the mall. He paid $27 to buy 1 button down shirt. What was the original price of the shirt?

Answers

Answer:

Answer:

$90

Step-by-step explanation:

27/.3

which of the following is true about the expression √3*√12

Answers

A is true about the expression

I lhes New Roman
16px
1.5pt • BI U SA A
X X2
6-1 Area Word Problems
Pizza Palace's largest pizza box has side lengths of 18 inches. A customer wants to special order a pizza
with an area of 300 square inches. Will the pizza fit in one of Pizza Palace's pizza boxes?

Answers

Answer:

No,the pizza will not fit in the box

Step-by-step explanation:

Since the diameter of the pizza is 19.6 inches which is greater that the side length of the box, the pizza is longer than the side lengths of the box

to get the diameter of the pizza,Since the pizza is circular in shapeArea of a circle = π r²where r is the radius and the area is 300 inch²

300 = 3.142 × r²

[tex] {r}^{2} \: = \: \frac{300}{3.142} \\ {r}^{2} = 95.48 \\ r \: = \sqrt{95.48} \\ r \: = \: 9.8 \: inches[/tex]But diameter is two times the radius So.....diameter = 2r Diameter of the pizza = 2 × 9.8Diameter of the pizza = 19.6 inches

The average growth of human hair is 0.5 inch
per month. Find how long it takes a human to
grow 3 inches of hair.
Equation:
Solution:

Answers

Equation : 0.5x = 3

Solution : 6

aurav went to school for 216 days in a full year. If his attendance is 90%, find the number of days on
which the school was open.​

Answers

Answer:

The school was open for 240 days

Step-by-step explanation:

216 / x = 90%/100%

216*100= 21,600

21,600/90 = 240

Choose the two right triangles.

Answers

Answer:

the first one and last one

The first one and the last one are correct

Determine if each pair of triangles is congruent. If so, write the congruence
statement and explain how you know the triangles are congruent.

Answers

Answer:

top one, yes. by the SSS theorem

bottom one, no. The bases are not congruent

Step-by-step explanation:

Jason has a bag of 30 pencils. Each pencil is 18 centimeters long. What is the combined length of the pencils in meters?

Answers

I think it’s 540 meters

Solve. 1/2(4x + 2/5) = 4/5

Answers

Answer:

[tex]\frac{1}{2}(4x + \frac{2}{5} ) = \frac{4}{5}\\2x + \frac{1}{5} = \frac{4}{5}\\\frac{10x + 1}{5} = \frac{4}{5}\\10x + 1= 4\\10x = 3\\x = \frac{3}{10}[/tex]

Answer:

x = 3/10

Step-by-step explanation:

Given equation,

→ 1/2(4x + 2/5) = 4/5

Let's solve the problem,

→ 1/2(4x + 2/5) = 4/5

→ 2x + (1/5) = 4/5

→ 2x = (4/5) - (1/5)

→ x = (3/5) × (1/2)

→ [ x = 3/10 ]

Thus, the value is 3/10.

Round the greater number to the tens place. Then calculate the product.
64 x 3
O A. 72
B. 150
C. 180
D. 192
O E. 210

Answers

Answer:

d:192

Step-by-step explanation:

WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)

Answers

Answer:

2(n+1)+2

You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.

A door is fixed at the point O. Ben opened it by an angle of 30°. The area swept by the door was {25}{12}\pi\

Answers

Answer:

5 units

Step-by-step explanation:

Area swept by the floor will be the area ofd a sector

Area of a sector = theta/2π * πr²

We are to find the radius r

Given

Area=  25π/12

theta = 30° = π/6

Substitute

25π/12 = 30/360 * πr²

25π/12 = 1/12 * πr²

25/12 = r²/12

r² = 25

r = √25

r = 5

Hence the radius od the part swept by the door is 5 units

Other Questions
What is the value of cose in the diagram below?a)3/5b)3/4c)4/5d)4/3 ASAP (WILL MARK BRAINIEST) A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of thegramsemerald is 2.76 cm3 what is the volume? Round to the nearest hundredth when necessary and onlyenter numerical values, which can include a decimal point. (6 points) answer if u can, ill give brainliest! :) Why is the volume of a cone 1/3 the volume of a cylinder if the height and the radius are equal Some students looked at pond water with a microscope. They saw prokaryotic and eukaryoticorganisms. The diagram shows one of the many organisms they saw.Which best explains what type of organism this is? LT(2 Points) A balloon holds 50.0 mL of nitrogen at 25 C and a pressure of 736 mm Hg.According to Boyle's Law, answer the following questions for 2 points each:What will be the effect on the pressure inside the balloon if the volume is decreased to 25 mL?Explain how this would demonstrate Boyle's Law.Explain Boyle's Law in terms of the kinetic energy of molecules.This is a written question No link answers please!!! 12. The variable in the expression 9x + 63 is ? * A. = B. 9 C. x D. 36 When a company uses a allocation rate there is only one base for allocating all overhead costs to products or other cost objects. Two decimals numbers, to the thousandths, that have a sum of about 5 and a difference of about 3. Then do the math to prove it works. Pls help I will give branlist answer on the best oneDont explain it just strait up give me the answer for 1,2 and 3 What happens to hydrogen in thechemical reaction of photosynthesis? Which equation has a greater rate of change than the linear function in the table?-5-3-18-8112322Ay = 5 3By = -4x 18y = -3.2 + 2Dy = 6x + 13 THIS IS THE ANSWERA) Identify ONE way in which industrialization changed social classes in the period from 1750 to 1900 CE.B) Explain ONE way in which industrialization resulted in new roles for women in the period from 1750 to 1900 CE.C) Explain ONE way in which industrialization caused changes to cities in the period from 1750 to 1900 CE.A) One way in which industrialization changed social classes in the period from 1750 to 1900 CE is the fact that industrialization increased the social class divide between the middle and upper class and the lower classes. Industrialization benefited the middle and upper classes more than anyone else, therefore increasing the gap between the classes. B) One way in which industrialization resulted in new roles for women in the period from 1750 to 1900 CE is that it opened up a lot more job opportunities for women, as the workforce was growing rapidly, and needed many more workers than previously required. This forced a lot of companies to open up jobs to women, shifting their previously given role as purely wives and mothers to providers of the household. This was really only the beginning, as women were given more and more roles over the years, mostly thanks to industrialization opening up more opportunities. C) One way in which industrialization caused changes to cities in the period from 1750 to 1900 CE is that it heavily increased the population, thus creating a larger urban population and attracting more business. The increased population and business within cities allowed technology and industry to really thrive, as with more business, its more likely for a city to be well-funded. In short, because of industrialization, it allowed countries to urbanize, as in move more people to the city, increasing industry and making cities an increasingly viable option for economic opportunity. Industrialization completely changed the way cities were viewed. If f(x)f(x) is an exponential function where f(3.5)=10f(3.5)=10 and f(7.5)=19f(7.5)=19, then find the value of f(13)f(13), to the nearest hundredth. Based on the article, how would you define a heat sink?here is the article https://www.sciencenewsforstudents.org/article/buildings-may-be-chasing-las-fog-away Find the length of the third side. What did Cicero argue for to repair the damaged republic?Group of answer choicesmaking the Senate and army strongerreducing the armys powers and restoring the system of checks and balancesgiving slaves and plebeians more power and taking land from the richstarting a civil war to take power from the Senate Please answer! Brainliest will be given, thanks sooo much :) Which parts of nature does the blackfoot creation story explain? Check all that apply. A. creation of rivers. B creation of mountains. C. creation of fish. D. creation of people. E. creation of rocks. The answered are A, B, and D. :) If you guys get this you will get a heart or brainly the book is called Hatchet 1) Frustrated and exhausted, Brian wishes he had a book of No files or links plz