Charles 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 10 feet long. Then he holds a 12-inch
ruler perpendicular to the ground and finds that it casts a 4-inch
shadow. How tall is the lamppost?
a. 2.5 ft c. 30 ft
b. 4.8 ft d. 120 ft

Answer:

C. 30 ft.

Step-by-step explanation:

10 = x

12 = 4

Divide by 4

1inch shadow = 3 inches height

1 inch of a shadow is 3 inches

10 feet is 120 inches

120 * 3

360 inches height = 30 ft

Consider Brainliest!

First-person to answer with an explanation get brainiest

Explain how you know these two figures are similar.

Brainliest plus 50 points to the first with all the right answers!!!


1.) Last week Joy ran 20 miles more than Olivia. Joy ran 43 miles. How many miles did
Olivia run?
x = the number of miles Olivia ran
Write the equation to represent this situation. (Do not use any spaces in your equation)
2.) Kim rented a bounce house for a party. There was a one-time charge of $100, plus an hourly rate of $35. Her total cost for the night was $327.50. For how many hours did Kim rent the bounce house?
h = the # of hours Kim rented the bounce house
Write the equation to represent this situation. (Do not use any spaces in your equation)

Density is measured in units of mass per units of volume. It can be thought of as a unit rate. The mass of a block of aluminum is 9.45 grams. The volume is 3.5 cubic centimeters (cm³).

What is the density of aluminum?
I NEED HELP ASAP PLZ 20.PTS

-3x > 12. Help thanks

GIVING BRAINLIEST! I have a plagiarism checker-

Please answer the following essay question:

Explain why we need to have a common denominator in order to add or subtract fractions.

Answer in paragraph form using complete sentences and include any calculations, graphs, and labeled diagrams as appropriate.

How many 2/5’s are in 5

Which equation can be used to find 75 percent of 200?
(A) StartFraction 75 times 1 Over 200 times 1 EndFraction = StartFraction 75 Over 200 EndFraction
(B) StartFraction 100 times 26.7 Over 75 times 2.67 EndFraction = StartFraction 267 Over 200.25 EndFraction
(C) StartFraction 200 times 2 Over 100 times 2 EndFraction = StartFraction 400 Over 200 EndFraction
(D) StartFraction 75 times 2 Over 100 times 2 EndFraction = StartFraction 150 Over 200 EndFraction

PLEASE ANSWER! I WILL GIVE 80+ POINTS, BRAINLIEST, A THANKS, 5 STARS, AND A FOLLOW IF YOU ANSWER ALL OF THESE (P.S they all have to do with direct variation):

#1) If y varies directly with x, write an equation for the direct variation. Then find each value. If y = –4 when x = 10, find y when x = 5

#2) If y varies directly with x, write an equation for the direct variation. Then find each value. If y = 12 when x = –15, find y when x = 2

#3) If y varies directly with x, write an equation for the direct variation. Then find each value. Find x when y = 18, if y = 9 when x = 8.

Find the value of x in each pair of similar figures. Use proportions to solve.

Write 240 as an exponent with a base of:

2^2
2^5
2^8

Please answer all 3! Will Award brainliest!

Chance rode his bike for x minutes, and Jaden rode his bike for 3/8 more than that.

Part A
Write and equation using fractions that relates the number of minutes Chance rode with y, the number of minutes that Jaden rode his bike. (write your answer as a fraction)
y= __ x

Part B
Write an equation, using decimals, that relates the number minutes chance rode with y, the number of minutes that Jaden rode his bike.
y=___ x

The Channel Tunnel, in England, is 250 feet below sea level at its deepest point. The Eurasia Tunnel, in Turkey, is 348 feet below sea level at its deepest point.
How much higher is the deepest point in the Channel Tunnel than the deepest point in the Eurasia Tunnel?

What is a scatter plot?
A. A table of measurement data used to construct a graph
B.A display of points that shows the relationship between two sets of data
C.A graph that has several different lines scattered on the coordinate plane
D.A graph that is nonlinear

5(3m - 6) when simplify

Who else hate khan academy?

Please answer the following essay question:

How do you think the settlers’ desire for more land would affect relations with the Indians? Explain your answer.

Your answer should be at least 5-7 sentences in length.

What is the x and y intercept of the following function
y=1-x

what is 11/15 +[-7/12 = ?

Help!!

If you don't understand what to do here are the directions:

Find the products/answers to each equation then, I have to highlight the ones that are equivalent.
I'll include a example:

Need help for 2 and 3realy don't understand 3

The sum of three decimals.
23.56 2.56 2.5892.

Step by step I need to show my work.

hi again answer these questions lspslsplsplspsldpwkqmeij3k1nh32jn3213123421

The following linear equation is shown: y = 2% + 5
Using this equation, what is the value of the missing space on the table

Oy=8
Oy=9
O y = 18
I don't know

Ryan is moving, and he is packing a box with plates and bowls. The box can only hold 12 pounds. Each plate weighs 1.2 pounds, and Ryan has already packed 4 plates in the box. Each bowl weighs 0.9 pounds. Which inequality could be used to find b, the number of bowls that can be added to the box? WILL GIVE BRAINLIEST
A. 4(1.2 + 0.9b) 12
C. 4(1.2 + 0.9b) > 12
D. 4(1.2) + 0.9b < 12

Reflection/Math please help

What is the slope of the line shown?

Plz help me for points

evaluate the expression | 10 | =

The number of students who attended Lincoln Middle School last year was 860. This year, the attendance has increased to 1032 students. What percent of last year’s student population is attending Lincoln Middle School this year?

PLEASE ANSWER

Students in the science lab are measuring the mass of an object on a triple beam balance. The object has a mass of 38 grams. Complete the table below with the absolute and percent error for each students’ measurement. Round your answer to the nearest tenths place.