You are 5 feet tall and cast an 8-foot shadow. A lamppost nearby casts a shadow that is 20 feet. Which equation can you use to solve for the height (ℎ) of the lamppost?

Answers

Answer 1
the lamp is 12.5 feet

Related Questions

How much profit will a store make on the sale of a flat screen TV that is marked up by 30% and then sold at a 20% discount if the original price of the TV is $1500? ​

Answers

The flat screen TV that is marked up by 30% and 20% discount had a profit of $60 after being sold.

The mark up percentage is given by:

Mark up percentage = (selling price - cost price)/cost price

Since the original price is $1500, hence:

30% = (selling price - 1500)/1500

0.3 = (selling price - 1500)/1500

(selling price - 1500) = 450

Selling price = $1950

It was again sold at a discount of 20%:

Final selling price= 1950 - 20% of 1950 = 1560

Profit = 1560 - 1500 = $60

Hence $60 profit was made by the store for the sale of a flat screen TV.

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Mamadou is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 27 ∘ ∘ . If the string from the kite to his hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

The height of the kite above the ground is 36.8 ft

Let x be the height of the kite above Mamadou's hand.

Since the angle of elevation of the kite is 27° and the length of the kite's string is 75 ft long, the length of string, height of kite above Mamadou's hand and the horizontal distance between Mamadou and the kite form a right-angled triangle, with hypotenuse side, length of string of kite and opposite side, height of kite above Mamdou's hand, we have that

sin27° = x/75

Making x subject of the formula, we have

x = 75sin27

x = 75 × 0.4540

x = 34.05 ft

Since Mamadou's hand above the ground is y = 2.75 ft, the height of the kite above the ground, h = x + y

Substituting the values of the variables into the equation, we have

h = x + y

= 34.05 ft + 2.75 ft

= 36.8 ft

The height of the kite above the ground is 36.8 ft

Learn more about height of kite above ground:

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The ratio of cats to dogs at animal shelter is 2 to 5. There are 22 cats at the animal shelter.

What is the total number of animals at the animal shelter?

Answers

Answer:

77

Step-by-step explanation:

cats:dogs

2:5

2x11=22

5x11=55

55+22=77

Answer:

77 animals

Step-by-step explanation:

Ratio = 2:5

2 = 22

5 = 5/2 ×22

= 55

=>There are 55 dogs in the animal shelter

Therefore the total number of animals = 55 +22

= 77

=> There are 77 animals at the animal shelter

(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.​

Answers

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

for brainly help me out

Answers

Answer:

2nd answer sounds like the best answer because the rate of change is -1.4.

Step-by-step explanation:

Plug in the equation.

Answer:

[tex]m=-\frac{7}{5}[/tex]

Step-by-step explanation:

B will be considered, "The correct answer" :)

What is the slope of this graph please no links or files

Answers

the answer is 2/3 , you go up 2 and to the right 3 which means it is a positive slope of 2/3.

Answer:

2/3

Step-by-step explanation:

You go over 2 and down 3

1/ sin 3x - sinx = 0

Answers

Answer:

equals 1x32 mc2

Step-by-step explanation:

mass–energy equivalence formula E

what does cpctc stand for and when would you use it

Answers

Answer:  Corresponding Parts of Congruent Triangles are Congruent

Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.

These tables of ordered pairs represent some points on the graphs of lines p and r.

Which system of equations is represented by lines p and r?


9x−4y=−92x+4y=15

3x−y=−127x+3y=21

2x−y=−82x+y=7

x−2y=−86x+5y=30
Line p
x y
−3 2
0 8
4 16
Line r
x y
−5 17
2 3
5 −3

Answers

Answer:

The answer above mine is correct and here is why.

Step-by-step explanation:

Please rate this answer choice 5 stars and leave a thanks, You do not need an acount  to do this.

Write 0.00000506 in scientific notation.

Answers

Answer:

5.06*10 to the power of -6

Step-by-step explanation:

you need the number to be in between one and 10 so 5.06 is where the decimal should be and the exponent is negative because when you want to put it back to the rational number you go 6 decimal places to the LEFT

wouldn’t it be 5.06*6 ?? Sorry if I’m wrong slick forgot how to do this but If I REMBER correctly this should be the answer again sorry if not

explain in words what this problem is asking you to do 3(×+2)​

Answers

Step-by-step explanation:

You simply have to multiply 3 by all what is in the bracket forinstance

3x+6 , this is so because 3 is multiplied by x and also multiplied by 2

For the expression five minus 5X to have a negative value what must be true about the value of X

Answers

Answer:

x=0

Step-by-step explanation:

honestly this is just filler no reason to explain it hoenstly

find the sum of the first 10 terms of the geometric series 1+10+100+1000+...

(with solution)

PA HELP PO THANKSSS

Answers

Answer:

1111102111

Step-by-step explanation:

a = 1

r = 10

∑1x10^n = 1111102111

where n starts from 1 to 10

4 1/4-2 3/5 what is this

Answers

Answer: 1.9, 1 1/9 or 19/10

PLEASE HELP ME OUT I WILL GIVE BRAINLIEST

Perform the following conversions using unit fractoring

2.3L = ______ mL

4.5 yds = ______ in

Answers

Answer:I got you

2.3L=2300ML

4.5yds=162in

Step-by-step explanation:

2.3 L x 1000 = 2300 ML
4.5 yards x 36 = 162 inches

3) Which table shows y as DIRECTLY PROPORTIONAL to x?
Α)Α
B) B.
C C
D) D

Answers

Answer:

I think the answer will be A

determine the degree of the polynomial.
8a^3+7a+6

Answers

Answer:

The degree of a polynomial is the largest exponent in the expression. The degree of the given polynomial is 3.

:)

Select all ratios equivalent to 3:2.
10:1
15:10
18:12
Submit

Answers

None of these are equivalent to the ratio 3:2

Answer:

15:10, 18:12

Step-by-step explanation:

Technically speaking, the first value, 3, is 1.5x greater than the second value, 2.

So, in all other ratios, the first value should be 1.5x greater than the second.

We can check by dividing the first number of each ratio by 3, and if we multiply 2 by the quotient, it should be 1.5x smaller

___________________________________________________________

10:1, Incorrect

This is incorrect because the first value is not 1.5x greater than the second. It is 10x greater

10/3 = 3.333....

1 x 3.33... = 3.3333....

3.3333.... x 1.5 ≠ 10

15:10, Correct

This is correct because the first number is 1.5x greater than the second.

15/3 = 5

5 x 2 = 10

10 x 1.5 = 15

18:12, Correct

This is correct because the first number is 1.5x greater than the second.

18/3 = 6

6 x 2 = 12

12 x 1.5 = 18

-Chetan K

State if the two triangles are congruent. If they are, state how you know.
See picture for full problem. Please and thank you!

Answers

Answer:

Yes they are.

They are congruent because they have two equal angles and one equal side

Liquid nitrogen is -196°C. What is the difference in temperature between the liquid
nitrogen and the frozen meal temperature (-18°C)?

Answers

Answer:

the state the item is in such as liquid nitrogen is frozen air and frozen meals are ice solid.

Step-by-step explanation:

The ratio of the number of girls to the number of boys is 3:5 . if the number of boys os 12 more than the number of girls ,calculate the total number of students in the class.

Answers

Answer:

48 students in the class

Step-by-step explanation:

The ratio of girls to boys is 3 : 5 = 3x : 5x ( x is a multiplier ) , then

5x = 3x + 12 ( 12 more boys than girls )

Subtract 3x from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

number of girls = 3x = 3 × 6 = 18

number of boys = 5x = 5 × 6 = 30

total students in class = 18 + 30 = 48

Find 1*2+2*3+3*4+...100*101

Answers

Answer:

What kind of mathematics is this?

A worker on an assembly line packed 156 boxes in 3 hours. At this rate, how many boxes would the worker pack in 7 hours?

Answers

Answer:

364

Step-by-step explanation:

156/3 = 52 boxes/hour

52 boxes x 7 hours = 364

4-0,9+(-0,11)-(-1,3) PLEASE HELP

Answers

Answer:

-20

Step-by-step explanation:

PEMDAS

Only right answers! Please hurry.

A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:

Answers

Answer:

Part A.) 67.65%

Part B.) 134/205

Part C.) The strongest of the relative frequencies is the people who like hamburgers. The total is significantly higher then all of the totals of people who don’t like hamburgers or burritos.

Explanation:

The data showing this gives you all the answers you need make sure and double check the work

Answer:

Part A: about 8%

Part B: about 65%

Step-by-step explanation:



Which describes how to move from (2, 3) to (6,4) on a coordinate grid?


Answers

Step-by-step explanation:

x = +4

y = +1

it uses a rigid transition formation

Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)

Step by Step please​

Answers

Answer:

35.113 km per hour is the correct answer

100 POINTS IF U GET THIS RIGHT!

Answers

Answer:

●y= mx + c

y = 9x + 1/2

slope m =9

SOMEONE HELP ME PLEASE

Answers

Answer:

[tex]x=\frac{27}4=6.75[/tex]

Step-by-step explanation:

The triangles PQR and SQT have corresponding angles congruent. In particular the pair P,S, R,T are congruent since corresponding angles relative to the two parallel lines in the hypotesis, and Q is obviously in common. The two triangles are similar since their angles are congruent. We can then write the follwing proportion.

[tex]\overline{RQ}:\overline {TQ}= \overline{PQ}:\overline{SQ}[/tex]  Replacing the values and cross-multiplying we get:

[tex](4x-3+3):3=(40+5):5 \rightarrow 4x:3 = 45:5 \\4x=27 \rightarrow x=\frac{27}4=6.75[/tex]

Answer:

6.75

Step-by-step explanation:

the answer is 6.75

so x = 6.75

Using this plot of annual peak discharge, what is the probability each year that a flood of 1,000 cubic meters per second will occur

Answers

Using the plot, it is found that there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

The question is incomplete, but the plot can be found on the internet.On the x-axis, it is given the probability of a flood of of y cubic meters per second.

When y = 1,000, we have that x = 10%, hence, there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

A similar problem is given at https://brainly.com/question/25757416

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