Thomas decides to use the method of proportions and similar
triangles to find the height of a lamppost. He measures the length of
the post's shadow and finds it is 5 feet long. Then, he holds a 1-foot
ruler perpendicular to the ground and finds that it casts a 2-inch
shadow. How tall is the lamppost?
a. 2.5 ft c. 30 ft
b. 12 ft d. 60 ft

Answer:

The lamppost is 30 ft tall.

Step-by-step explanation:

You need to draw a diagram of the problem. Refer to attachment.

Now you need to convert the measurements that are in feet to in. The 1 foot ruler is now 12 in. and the 5 foot post's shadow is now 60 in.

The next step is to create a proportion between both angles. [tex]\frac{x}{1} =\frac{60}{2}[/tex]

x over 1 is simplified to x and 60 divided by 2 is just 30. So the lamppost is 30 ft tall.

Hope that helped. :)

Given the function, d(t) = 50t, the variable t represents which of the following?

Select all that apply.

output
independent variable
function
input
dependend variable

A cyclist rides a bike
18
miles in
3
hours. If riding at a constant rate, how far can the cyclist ride in
1
hour?

GUYS HELP ME ON MY MATH AND I WILL GIVE U BRAINLIEST AND 30 POINTS

Enola spent $48 at a used book store where hardback books sell for $12 each and paperback books sell for $8 each.

A. Write an equation in standard form where x represents the number of hardback books and y represents the number of paperback books she bought that day:




B. If she bought 2 hardback books how many paperback books did she buy?

Which situation cannot be represented by the equation 8−x=3?

A. Joe had $8 and bought a piece of pizza. He had $3 left over. What is x, the cost of the pizza?

B. Jackson walked 8 dogs. Henry walked 3. What is x​, the number of dogs the boys walked all together?

C. The difference between Amal's score and Katie's score was 3. Amal had 8 points, but Katie had less. What is x​, the amount of Katie's score?

D. Sunnyville had 3 fewer inches of rain than Pleasantville. Pleasantville had 8 inches of rain. What is x​, the amount of rain in Sunnyville?

im srry for bing stupid i will help out only and in return can you help me

Melanie and her cousin Grace are arguing about who is the faster swimmer. The distance each can swim in a certain number of minutes is shown in the photo.

A photo of two swimmers is shown. The caption says Grace, three hundred twenty-five meters in five and a half minutes, and Melanie, three hundred meters in five minutes.

Question 1
Part A

How fast does Melanie swim?

Enter the correct answer in the box.

1 of 2
Find the unit rate of speed, which is meters per minute.


meters per minute.
Question 2
Part B

How fast does Grace swim? Round to the nearest tenth, if necessary.

Enter the correct answer in the box.

about
meters per minute.
( I NEED HELP NOW!!!! I WILL GIVE BRAINLIEST AND 25 POINTS!!

You don't need to plot them, just tell me where I should.

2x+9=17 help me someone plz

PLEASE HELP I WILL GIVE YOU 20 POINTS. IF YOU DONT HELP I WILL REPORT YOU, IM NOT TRYING TO BE RUDE.
The Diver: (-6, 3)
The whale: (-7, -6)
The Treasure: (7, 3)

Explain how you know for the questions below.

1. If Captain Sullivan lost his map but he knew the coordinates of the diver and the treasure, how could he find the distance between the diver and the treasure?

Think about how you can use absolute value notation to express the distance between two points on a coordinate graph. For each pair of points below, find the distance between the given points and express your work using absolute value symbols.
(4, 9) and ( –5, 9)

The coordinates of a triangle and its image are given below. What is the scale factor.
(1,2)—>(10,20)
(1,4)—>(10,40)
(5,3)—>(50,30)

Explain how you got your answer.

(CL) Perform the operation and simplify the resulting fraction:
c
3/4 c− 7/12 + 7/24 c+ 2/3 − 1 /6 c

A copy machine can print 480 copies every 4 minutes. For each question, explain your reasoning.
– PART A: How many copies can it print in 10 minutes?
– PART B: A teacher printed 720 copies. How long did it take to print?

ASAP! I need help with A, B, and C

An artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural.

7 ounce- 4.58$
15 ounce- 6.30$
Find the unit rate of both numbers

help help help help help help help

The body of a 154-pound person contains approximately 2×10^2 milligrams of gold and 6×10^3 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times greater than the number of milligrams of gold in the body?
can you show your work too?
re asked it cs some bozo stole my points but pls hellp asap

An unused roll of paper towels is shown. What is the volume of the unused roll?

A bag of oranges weighs 15 pounds. How many kilograms is this? (1 pound ≈ 0.454 kilogram)

HELP PLEASE! THIS IS DUE TOMORROW AT 8:20 AM!

Advantages
Disadvantages
of the bank of Montreal (bmo)

Out of every 8 loaves of bread that Markelle bakes, 5 of them are pumpkin bread.

At this rate, how many loaves of pumpkin bread would he have if he baked a total of 40 loaves of bread?

there are 60 students in PE. 60% of them is male what is the number of male students?

+ 2x + 12y + 4

What are the coefficients of this expression?

how much warnings does it take until my account dies.

( I have 9 warnings as seen on the picture. )


A ) 10


B ) ∞


C ) Until they send a message


D ) WHY WOULD I KNOW

Trey's car has a 40 gallon tank. The fuel gauge points to . If Trey buys 30 gallons of gas, what will be the new reading on the gas gauge?

What is the distance between -3 and 12

Please help with this math question guys! Thank you!
(Please choose one of the provided answers)

I will mark Brainliest :)

PLEASE HELP ME!! Usa-testprep!!