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

A salesperson at a jewelry store earns 9% commission each week. Last week, Heidi sold $640 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?

Answers

Answer:19.2

Step-by-step explanation:

Mr. JB has a rectangular lot that measures 550 meters by 550 km. What is the area of the land in square meter. He i selling the whole lot for 206,250,000 pesos how much is the price per square meter?

Answers

9514 1404 393

Answer:

  15/22 peso/m^2 ≈ 0.68182 peso/m^2

Step-by-step explanation:

The area is the product of the dimensions. 1 km = 1000 m.

  A = (550 m)(550·1000 m) = 302,500,000 m^2

The price per square meter is ...

  206,250,000/302,500,000 peso/m^2

  = 15/22 peso/m^2 ≈ 0.68182 peso/m^2

solve the square root of 2x-5=x-4​

Answers

Answer:

Simplifying
2x + -5 = x + -4

Reorder the terms:
-5 + 2x = x + -4

Reorder the terms:
-5 + 2x = -4 + x

Solving
-5 + 2x = -4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-5 + 2x + -1x = -4 + x + -1x

Combine like terms: 2x + -1x = 1x
-5 + 1x = -4 + x + -1x

Combine like terms: x + -1x = 0
-5 + 1x = -4 + 0
-5 + 1x = -4

Add '5' to each side of the equation.
-5 + 5 + 1x = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -4 + 5
1x = -4 + 5

Combine like terms: -4 + 5 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

please help, precalculus will report false answers

Answers

ExplanationGiven the equation.

[tex]f(x) = \frac{ {2}^{x} }{x} [/tex]

Consider each terms for both numerator and denominator.

Numerator

[tex]y = {2}^{x} [/tex]

The function family is exponential when separating the denominator out of numerator.

Exponential family have the equation of

[tex]y = {a}^{x} [/tex]

Denominator

[tex]y = x[/tex]

The function family is linear when separating the numerator. The equation for linear family is only

[tex]y = mx + b[/tex]

We combine both exponential and linear by dividing the exponential with linear.

AnswerWe divide the exponential function by a linear function.

What happens to a figure that is dilated by a factor of ½ .

Answers

Answer:

i really dont know

Step-by-step explanation:

what expression is equivalent to h + 5 + 3 - 2h​

Answers

8 - h is equivalent to h+5+3-2h

We want to combine like terms. So 5+3=8, and -2h + 1h = -1h. We can rewrite the expression as 8 - h.

The equivalent expression of h + 5 + 3 - 2h​ is -h+8.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

We have the expression:

h + 5 + 3 - 2h​

To find the equivalent expression:

We simplify the expression,

h + 5 + 3 - 2h​

= h -2h +5+ 3

= -h +8

-h+8 is the equivalent expression of h + 5 + 3 - 2h​.

Therefore, -h +8 is the equivalent expression.

To learn more about the equivalent expression;

https://brainly.com/question/28170201

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how do you do this , i need help!!

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

112º

Step-by-step explanation:

(you may need a calculator for this)

first let's start with what we know, we know a triangle has 180º. We also know a line has 180º. if you know the line has 180º, then ? + 126 º = 180º. so if you subtract 126 from 180, you get 54. now lets look at the triangle, we know the triangle has 180º in total. we already know one angle is 58º, and we just figured out the other is 54º. if you do 54+58, you get 112. remember, the triangle has 180 degrees in total, and two of them equal 112º, so 180 - 112 is 68. almost there! now we have to do the line trick again, because on the line, 68 + x = 180. 180- 68 is 112, so the answer is 112º. Hope this helps :D

She ran 13.04 seconds per 100 meters, how fast was she running in meters per hour?

Answers

Answer:

27607.3619632 meters per hour

Step-by-step explanation:

She was running 7.6 m/s 3600 seconds in a hour

3600x7.6=27607.36

Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relationship? What does it represent? Write an equation to represent this situation.

Answers

Answer:

Y= 1.5x

Step-by-step explanation:

What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)

I hope this will help

Solve.
12.25 = 2.5 =
4.9
4.5
6.5
0.49

Answers

(If this is the correct symbol)
12.25 divided by 2.5= 4.9

Hope this helps

Have a great day/night

Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)

Answers

Answer:

x = 8, y = 4

Step-by-step explanation:

y = x - 4

y = -0.5x + 8

y = y

x - 4 = -0.5x + 8

x + 0.5x = 8 + 4

1.5x = 12

x = 12/1.5

x = 8

To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)

y = (8) - 4

y = 4

OR

y = -0.5(8) + 8

y = -4 + 8

y = 4

The answer is B, because the answer is (8,4)

help appreciated.
How many hours of training would you need to have a salary of $2,000?

Answers

Answer: you will have 56

Step-by-step explanation:

Answer:

100 hours

Step-by-step explanation:

Because 18 would be 1800 and then 19 would be 1900 and then 100 would be 2000

what is the equation of the line given the table

Answers

Answer:

y=3x-1

Step-by-step explanation:

25 members, Each student must pay an entry fee of $7.25 for a helmet fee. the total cost for the roller skate trip is $443.75. What is the entrance fee for one student?

Answers

Answer:

I believe the answer is $10.1 each

Step-by-step explanation:

Well if u multiply 7.25 by 25 you get 181.25 so you can subtract that by 443.75 you will get 252.5 after that divide it by 25 and u get 10.1.

I hope it help's

12. Which explains whether the relation shown is a function?

A) The relation is a function since it is continuous.

B) The relation is not a function since it is not symmetrical

C) The relation is a function since it passes the vertical line test

D) The relation is not a function since it does not pass the horizontal line test.

Answers

Answer:

C

Step-by-step explanation:

the vertical line test is when you check to see if a point of the graph is passed twice. in this case it does pass the vertical line test. therefore, it is a function.

Answer C final answer: C

look at this please it would really help

Answers

i don’t know the answer to all but hopefully this will help u out a little bit:
0 hours would be 0 dollars of course
0.5 hours would be $2.50
1 hour would be $5
2 hours would be $10

roberts mom gave him $9 to buy groceries. she told him to buy a loaf of bread and as many quarts of milk as he could with the money she gave him. a loaf of bread costs $2.20 and a quart of milk costs 1.20. if x represents the number of quarts of milk robert buys, which inequality represents this situation

Answers

Answer:

he can buy 5 quarts of milk

Step-by-step explanation:

Happy Paws charges $22.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Write an equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.

Answers

Answer:

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers =  11 + 5.75h

3.2 hours

Step-by-step explanation:

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers =  11 + 5.75h

22 + 4.50h =  11 + 5.75h

Collect like terms

22 + 11 = 4.5h + 5.75h

33 = 10.25h

Solve for h

33/10.25 = h

h = 3.22

Find the value of x.
Z
Y
11x – 10
80°
W
X

Answers

Answer: I think the value of x is 20 but im not sure

Step-by-step explanation:

no explanation here

Choose the definition for the function.

Answers

Answer: C

Step-by-step explanation:

Зr — Зу = — 18
9x — 6y= — 48
Please help!

Answers

Answer:

The answer should be (-4,2)

Step-by-step explanation:

help please n thank u
i’ll mark brainlist

Answers

Answer:

Slope = -1/4

Y-intercept = 50

Step-by-step explanation:

Change in y/ change in x = slope

75/-100 = -1/4

For y, the numbers decrease 25 each time so the change in y is -25.

For x, the numbers increase 100 each time so the change in x would be 100.

The fraction you have left is -25/100

Now, you simplify -25/100 and you get -1/4.

The y-intercept is 50 because x is 0 at the same time in the chart.

Measure of angle CXF

Answers

50°

angle CXF and DXF are complementary which means they add to 90°

to 40° + x = 90
x = 50

Match each graph to its equation below.

Answers

The correct matching will be given as A-1, B-3, and C-2.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The general equation is given below.

y = ax²

If the value of a is negative then downward parabola and if the value of a is positive then upward parabola.

If the value of a is less than one then parabola shrinks and if the value of a is more than one then parabola spreads.

Graph A is upward and shrinks parabolas so the equation will be y = x⁸.

Graph B is downward parabolas so the equation will be y = -3x⁸.

Graph C is upward and wider parabolas so the equation will be y = 0.25x⁸.  

Then the correct matching will be given as A-1, B-3, and C-2.

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ1

For lawn mowing, Jeremy charges a flat fee of $5 plus $10 per hour. Write an equation for cost and hours of lawn mowing. What is the slope?

Answers

Answer:

y = 10x+5

Slope is 10 dollars per hour

Step-by-step explanation:

y = mx+b where m is the slope and b is the y-intercept or flat fee, here.

b = 5

10 per hour means m = 10

I need help with these 2.

Answers

I believe question two is 15 and I don’t know about the top one
The first one is 60cm and the bottom one is 21 I just took the test

It's due today pls help me out

Answers

Answer: 6(5w+2)

Step-by-step explanation: Factor 30w+12

Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?

Answers

Answer:

£1430

Step-by-step explanation:

Given data

Principal =£1100

Rate= 5%

time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=1100(1+0.05*6)

A=1100(1+0.3)

A=1100(1.3)

A=1100*1.3

A=£1430

Hence the balance is £1430

Write the inequality this number line represents.

Answers

Answer:

[tex]x\leq 2[/tex]

Step-by-step explanation:

Since the bot is filled in it is going to include [tex]\leq[/tex] or [tex]\geq[/tex]

Since the arrow is pointing to numbers below 2, 2 must be bigger. This is the answer:

[tex]x\leq 2[/tex]

I need help with this plz

Answers

Answer:

c

Step-by-step explanation:

7/10

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