Two triangles have the same base lengths. One Triangle has the height that is 4 times the height of the other triangle. Are the heights and the areas of the two triangles proportional?

Answers

Answer 1

YES

Area of Triangle 1

Base=b

Height= h

Area 1=A1=1/2*b*h

Area of Triangle 2

Base=b

Height= 4h

Area of triangle 2=A2=1/2*b*4h

Comparing A1 and A2

A2/A1= (1/2*b*4h)/(1/2*b*h)

= (1/2*b*4h)/(1/2*b*h)

=4/1

Ratio of heights =h2/h1= 4/1

Ratio of areas =A2/A1= 4/1

They are proportional.


Related Questions

Evaluate |bc|, given a = 5, b = -3, and c = -2.

Answers

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

|Absolute Value| - makes any number positive

Step-by-step explanation:

Step 1: Define

|bc|

a = 5

b = -3

c = -2

Step 2: Evaluate

Substitute:                    |-3 · -2|Multiply:                        |6|Evaluate:                       6

During 24 hours a radio station spends 1/5 of the time playing rock music,2/3 playing hip hop, and the rest playing dance music.How much time is spent playing dance music?

Answers

Answer:

[tex]3.2\:\text{hours}[/tex] is spent playing dance music.

Step-by-step explanation:

Given: During [tex]24[/tex] hours a radio station spends [tex]\frac{1}{5}[/tex] of the time playing rock music, [tex]\frac{2}{3}[/tex] playing hip hop, and the rest playing dance music.

To find: How much time is spent playing dance music?

Solution:

We have,

Radio station spends [tex]\frac{1}{5}[/tex] of the time playing rock music.

Radio station spends [tex]\frac{2}{3}[/tex] of the time playing hip hop.

Radio station spends rest of the time playing dance music.

So,

Time spend on playing rock music [tex]=\frac{1}{5}\times24 = 4.8\:\text {hours}[/tex]

Time spend on playing hip hop [tex]=\frac{2}{3}\times24 = 16\:\text {hours}[/tex]

Now, total time radio station spends on all the three music is [tex]24[/tex] hours.

Therefore, rest of the time[tex]=24-(16+4.8)=3.2\:\text{hours}[/tex]

It is given that in the rest of the time, the radio station plays dance music.

Hence, [tex]3.2\:\text{hours}[/tex] is spent playing dance music.

A novel has 13 times as many pages as a short story. The combined number of pages in the books is 448 pages. How many pages are in each book?

Answers

12345 You’re welcome and you can work me bring least

Help please due now!

Answers

Answer:

8

Step-by-step explanation:

3(2)-2(1-2) / 3-2

6-2(-1) / 1

6 + 2 / 1

8 / 1

= 8

Which expression is equivalent to 1/4 - 3/4x

Answers

Answer:

-3/4x + 1/4

Step-by-step explanation:

Which model shows 20%?

Answers

the bottom model shows 20%

Answer:

The seccond one

Step-by-step explanation:

_

The first one shows 33.3% while the second one shows 20%

I hope this helps!

Find the missing side length of the similar figures below:

Answers

Answer:

1) d 2) b

Step-by-step explanation:

1) 36÷24 = 1.5 15×1.5= answer

2) 4÷3.2= 1.25 7.5÷1.25= answer

Please help me!!!!!!!

Answers

Answer:

It's upside-down how do I answer it when its upside down

Step-by-step explanation:

Please make it face forward

What is the y intercept of the following equation
3x-2y=4

Answers

Answer: y = -2 + 3/2x

Step-by-step explanation:

1. 3x - 2y = 4 (move the variable to the right of the equal)

1.1. -2y = 4 - 3x

2. y = -2 +3/2x (divide both sides by -2)

Your bank account balance is $46.74. You deposit $60.86, then withdraw $134.70. What is your new balance?
Solve to get points!

Answers

Answer:

The answer is 6/3>2/3

How many terms are in the expression:
6x + 5 + 10p
and what are they?

Answers

Answer:

Step-by-step explanation:

in this expression we have

two variables: 6x and 10p

one constant 5

3 terms

The shaded area of the shape below rounded to the nearest whole number is:
8 cm
8 cm​

Answers

Answer:

64

Step-by-step explanation:

8x8=64

The answer is 64 cm.

8cm*8cm=64cm.

Find the mean of the data in the dot plot below.

Answers

83.6 im pretty sure.

Answer:

83.6

Step-by-step explanation:

81+83+84+85+85=418

418/5= 83.6

Evaluate the expression if p = 1, r= -7, and s = -2.
-3p-2r
6+4s
PLEASE HURRY!!! THANK YOU

Answers

Answer:

-5 1/2

The first one is right.

Step-by-step explanation:

k12 right ?

The solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE have been given an expression as

-3p-2r / 6+4s

We have to substitute the value p = 1, r= -7, and s = -2 to find the solution.

Plug the values;

-3p-2r / 6+4s

-3 (1) -2 (-7) / 6+4(-2)

-3 + 14 / 6 - 8

11 / -2

Hence, the solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Fiona and Diana are sisters. They each baked cookies. Fiona baked 15 more cookies than Diana. They baked a total of 75 cookies. How many cookies did each girl bake?

Answers

Answer: Fiona baked 45 cookies and Diana baked 30 cookies.

45 + 30 = 75 total cookies baked.

(-2,-5) on a graph. I really need to know.

Answers

Answer:

Step-by-step explanation:

The blue dot is where (-2,-5) is on a graph.  Hope this helps!

Please answer ASAP!
-6=2x

Answers

Answer:

3

Step-by-step explanation:

25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed. Look at the photo.

Answers

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                = [tex]\frac{960-480}{2-1}[/tex]

                                = 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?

Answers

Answer:

1.5x ≤ 60

Step-by-step explanation:

He wants to run no more than 60 minutes a day

No more than means Less than or equal to with the inequality sign of ≤

Each lap = 1.5 minutes.

The greatest number of laps Peter could run = x

Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day

1.5 × x ≤ 60 minutes

= 1.5x ≤ 60

Solving for x

1.5x ≤ 60

x ≤ 60/1.5

x ≤ 40 laps

Hence, the Greatest number of laps = x that he can run is 40 laps

Is this congruent or not? And is it
SSS
SAS
SSA
AAS
HL

Answers

The triangles are congruent
Triangle JHK is congruent to triangle JLK by SAS

HELP!!!!!ASAP!!!!!!!!!!!PLEASE!!!!!!!!!!NOW!!!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

x=30cm

Step-by-step explanation:

The sides are proportionate so you can solve this by using ratios 75/30=x/12

Cross Multiply

30x=900

x=30

Gary spent 1/6 of his money on baseball cards, 3/10 of the remaining on candy and save the rest. If he spent $6 on baseball cards, how much money did he have in the beginning? Pls anwser

Answers

Answer: $36

Step-by-step explanation:

Let the total amount of money that he had in the beginning be represented by x.

Since Gary spent 1/6 of his money on baseball cards which was $6. This will then be solved further as:

1/6 × x = 6

1/6x = 6

x = 6 × 6

x = 36

The total amount of money that he had in the beginning was $36

2. Mr. Thompson is on a diet. He currently weighs 260 pounds. He
loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson's weight after
m months.
b. After how many months will Mr. Thompson reach his goal
weight of 220 pounds?

Answers

a. w = -4m + 260

b. 10 months

555x777(1,456x9,643) x)256= my teacher crazy

Answers

Answer:

1.54998505 x 10 to 15 power

Step-by-step explanation:

HEEEELP PLEASE I NEED HELP DONT SAY "I DONT KNOW" PLEASE

Answers

Step-by-step explanation:

Time taken to complete the race

= Distance / Speed

= 56 miles / (14 miles/hr)

= 4 hours. (B)

Answer:

B. 4 hours

Step-by-step explanation:

If the distance is total of 56 miles and he travels 14 miles per hour,

divide 56/14

56/14=4

4 hours to complete the 56-mile race

Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )

Answers

Answer:

3 x ^3  −  4 x ^2  −  23 x  +  10

Step-by-step explanation:

hope this helps!

Coach Collin's soccer team selected 16 girls from 124 girls who tried out for the team. What decimal is equivalent to the fraction of the girls selected from the group of girls who tried out for the team?

Answers

Answer: 0.129

Step-by-step explanation:

Coach Collin's soccer team selected 16 girls from 124 girls who tried out for the team.

The fraction of girls selected to those who tried out in fraction form is:

= 16/124

The decimal form will be:

= 16 ÷ 124

= 0.129

What happens to a figure that is dilated by a factor of 13

Answers

Answer: it gets smaller, 13 times smaller

Step-by-step explanation:

Size of the figure/13

What sports do you think I play‼️ If you get it right you get a prize

Answers

Answer:

Honestly doing this bc im bored but i dont know baseball or football

Do you play baseball? did I get it right?                                                               

Which expression is equivalent to (0.5x+7)−(1.2x−3)?
(0.5x+1.2x)+(7+3)
(0.5x+(−1.2x))+(7+(−3))
(0.5x+(−1.2x))+(7+3)
(0.5x+1.2x)+(7+(−3))

Answers

(0.5x + 7) - (1.2x - 3)
= (0.5x + 7) -1(1.2x - 3)
= 0.5x + 7 - 1.2x + 3
= (Now, we will combine and group the like terms.)
= 0.5x - 1.2x + 7 + 3
= -0.7x + 10
So, in conclusion, the answer to this question is: -0.7x + 10 which is equal to the third expression: (0.5x+(-1.2x))+(7+3).
Glad I could help!
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