The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height of the triangle?
A. 3in, 9 in
B. 8in, 24 in
C. 2in, 6in
D. 4in, 12in

Answers

Answer 1

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = [tex]\frac{1}{2}[/tex] x base x height

   From the problem,

        base  = [tex]\frac{1}{3}[/tex] x height

let the base  = b

            height  = h

         b =  [tex]\frac{1}{3}[/tex]h

          h = 3b

Input into the formula of area;

       24  =  [tex]\frac{1}{2}[/tex] x b x 3b

   Mulitply through by 2;

       48 = 3b²

         b² = 16

         b = √16 = 4

So, h = 3b= 3 x 4 = 12in


Related Questions

At first Davian has $120 less than Jeremy.
Jeremy then spends half his money and Davian spends
none.
Davian now has $20 more than Jeremy.
Directions:
1) Assume that Jeremy originally has J dollars.
2) Fill in the algebraic expressions in the table below using
the variable J.
3) Solve the equation to get number of dollars Jeremy had
originally, and fill it into the entry in the last row.
English
Algebraic Expression
Correct?
Number of dollars
Jeremy has at first
Х
Number of dollars Davian
has at first
Х
Number of dollars
Jeremy has after
spending half his money
the equation
xx x
Number dollars Jeremy
had originally (as a
number)

Answers

Answer: YOU SHOULD DIVIDE ALL OF THEM TO GET YOUR ANSWER

Determine the slope of the line passing through the points (2,6) (1,6)

Answers

Answer:

0

Step-by-step explanation:

(6-6)/(1-2)=0

Answer:

The slope is zero

Step-by-step explanation:

it is zero because if you graph the two points the line is horizontal meaning that only the x value goes up as the y value stays put meaning that the slope of this line is zero

If Megan's tuition, fees, and expenditures for books this year total $19,000, what will they be during her senior year (three years from now),
assuming costs rise 7 percent annually? Round Future value of a Single
Amount in intermediate calculations to four decimal places.

Answers

Answer:

$23,275.817

Step-by-step explanation:

To get this answer, multiply 19,000 by 1.07.

$19,000 x 1.07 = 20,330 (one year later)

$20,330 x 1.07 = $21,753.10 (two years later)

$21,753.10 x 1.07= $23,275.817 (three years later)

The answer round to cents would be $23,275.82

Write a equivalent expression for the expression 6x-18-12y using a negative factor​

Answers

Answer:

-2*(6y-3x+9)

Step-by-step explanation:

Answer:

-6(-x+3+2y)

Step-by-step explanation:

Rosa believes she can use a division expression to find the cost per pound of ground beef when 2/3 pound sells for $4. Which statement best explains why Rosa is correct or incorrect? A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word. B. Rosa is correct in using a division expression because the cost per pound should be less than $4. C. Rosa is incorrect in using a division expression because ""cost per pound"" refers to the product of the price and weight. D. Rosa is incorrect in using a division expression because the cost per pound must be an integer.

Answers

Answer: A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word.

Step-by-step explanation:

The term ; Cost per pound can be interpreted mathematically to mean;

Cost / pound ; where per means division. In the context above ;

cost per pound = cost of 1 pound of an item ;

(Stated Cost of the item ÷ pound of the item at the stated cost)

For the question above ;

2/3 pounds of ground beef cost $4;

Cost per pound = cost of 1 pound of ground beef ;

= $4 ÷ (2/3)

= $6

Hence, 1 pound of ground beef cost $6

Answer:

so the answer is a. 1/25 hope this helps can my reward be brainlest???

Step-by-step explanation: What is the result of 5 divided by one-fifth?

5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath.

StartFraction 1 Over 25 EndFraction

One-fifth

1

25

Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5%5%? Round your answer to four decimal places.

Answers

Answer:

The value is  [tex]P(| \^ p -  p| < 0.05 ) = 0.9822 [/tex]

Step-by-step explanation:

From the question we are told that

    The population proportion is  [tex]p =  0.52[/tex]

     The sample size is  n  =  563      

Generally the population mean of the sampling distribution is mathematically  represented as

           [tex]\mu_{x} =  p =  0.52[/tex]

Generally the standard deviation of the sampling distribution is mathematically  evaluated as

       [tex]\sigma  =  \sqrt{\frac{ p(1- p)}{n} }[/tex]

=>      [tex]\sigma  =  \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }[/tex]

=>      [tex]\sigma  =   0.02106 [/tex]

Generally the  probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

            [tex]P(| \^ p -  p| < 0.05 ) =  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 ))[/tex]

  Here  [tex]\^ p[/tex] is the sample proportion  of persons with a college degree.

So

 [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma }  < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )[/tex]

Here  

    [tex]\frac{[\^p - p] - p}{\sigma }  = Z (The\ standardized \  value \  of\  (\^ p - p))[/tex]

=> [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 }  <  Z  < \frac{-0.47 + 0.52}{0.02106 }][/tex]

=> [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[ -2.37 <  Z  < 2.37 ][/tex]

=>  [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(Z <  2.37 ) - P(Z < -2.37 )[/tex]

From the z-table  the probability of  (Z <  2.37 ) and  (Z < -2.37 ) is

  [tex]P(Z <  2.37 ) = 0.9911[/tex]

and

  [tex]P(Z <  - 2.37 ) = 0.0089[/tex]

So

=>[tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) =0.9911-0.0089[/tex]

=>[tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = 0.9822 [/tex]

=> [tex]P(| \^ p -  p| < 0.05 ) = 0.9822 [/tex]


19. passes through (1, 4) and (-1, 1)

Answers

Answer:

y = 3/2x + 2.5

Step-by-step explanation:

Use this formula to find the slope. y2-y2/x2-x1

Plug in

1-4/-1-1= -3/-2 = 3/2

So the slope is 3/2

To find the y-intercept use one of the points you were given. (1,4)

Plug in (1,4)

4 = 3/2(1) + b (b is the y-intercept)

4 = 3/2 + b (minus 3/2 on both sides)

2.5 = b or 5/2 = b

y = 3/2x + 2.5

please help thank you !!

Answers

Answer:

80 gallons

Step-by-step explanation:

First to find this, we must divide 10 by 4, and yes I know this will give us a decimal, but it must be done. This division will give us 2.5, we must then multiply 2.5 by 32, as we are given 32 gallons for 4 loads of dishes, and if 2.5 times 4 loads is 10 loads, then we must multiply 32 by 2.5 as well, giving us the answer, 80 gallons

Answer:

80 gallons

Step-by-step explanation:

The answer is 80 gallons when using the distributive, and communitive property of multiplication and division.

Feel free to give brainliest. I hope everyone has an excellent day!

I need help ASAP because this has to be turned in tomorrow

Answers

Answer:

You should look for this assignment quizlet. quizlet has pretty much every assignment!

Step-by-step explanation:

Go online, go to the search bar, type quizlet.com, look for assignment. boom. answers.

what monthly amount is needed for a car loan with a starting balance of 8000 over 3 years with a fixed APR of 0.65%?

Answers

Answer:

80,341.99

Step-by-step explanation:

pay each Month $80 for 19 years , interest measured 3%

how do you simplify 50 1/2 + -12.3

Answers

Answer:

I believe you divide it

Step-by-step explanation:

hope this helps u

Answer:

38.2

Step-by-step explanation:

50 1/2=50.5      1/2=.5

50.5 + -12.3 is the same as 50.5 - 12.3

50.5 + -12.3= 38.2

50.5 - 12.3 = 38.2

Divide 1/5 divided by 1/12

Answers

Answer:

I believe it's 2 2/5

Step-by-step explanation:

1 /5 ÷  1 /12  = 1 / 5  ×  12 /1

=

1 × 12

---------

5 × 1  

=

12 /5  = 2 2 /5

which fraction is equivalent to -3/2?

PLSS I NEEED HELPP!!

Answers

Answer:

-6/4 is equivalent to that

Step-by-step explanation:

-6/4 is the answer for the problem

Hey! I'm having trouble with this one problem in precalc.
Verify the identity: cot x minus pi divided by two = -tan x

Answers

Answer:

O-O is this highschool stuff sorry couldnt help

Step-by-step explanation:

Can you help me i wil give you a branlist and please help me

Answers

Answer:

i love free points dont you

9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8). M(1,6), S(-2,-6), T(2, 10) plz help!!!​

Answers

Answer:

they are neither

Step-by-step explanation:

because if you connect the dots they are neither parallel or perpendicular

What is |-24| + |13| =?

Answers

Answer:

37

Step-by-step explanation:

just add the two numbers like they are not negative.

Choose an equivalent expression for 123 • 129 • 124 • 122.
124
1218
1235
12216

Answers

Question:

Choose an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2

A. 12^4 B. 12^18 C. 12^35 D. 12^216

Answer:

[tex]12^{18}[/tex]

Step-by-step explanation:

Given

[tex]12^3 . 12^9 . 12^4 . 12^2[/tex]

Required

Determine the equivalent

Applying law of indices, we have:

[tex]12^{3 + 9 + 4 + 2}[/tex]

[tex]12^{18}[/tex]

Hence:

[tex]12^3 . 12^9 . 12^4 . 12^2 = 12^{18[/tex]

Select the correct answer. What is the simplest form of the ratio 40: 167 ; A 20:8 ,B10:4 ,C5:4, D. 5:2, E. 10:8. Will give brainlyest. NEED ANSWERS ASAP ​

Answers

Answer:

It is in the simplest form and cannot be simplified.

Step-by-step explanation:

Answer:

5:2

Step-by-step explanation:

40/8 = 5      16/8 = 2

Una caja de 30 kg esta apoyada sobre una de sus caras que tiene 40 cm de ancho y 50 cm de largo. La presion que ejerce sobre el suelo sera

Answers

Answer:

294N

Step-by-step explanation:

La presion que ejerce sobre el suelo seria la fuerza de la caja contra el suelo. Esto se calcula multiplicando el peso de la caja por el valor de la gravedad de nuestra tierra. En esta situacion no se necesitaria las dimensiones de la caja.

Fuerza = 30kg * 9.8[tex]m/s^{2}[/tex]

Fuerza = 294N

Fuerza tiene un simbolo de N que significa Newtons que serian calculados como kg * m/s^{2} ... entonces la caja ejerce una fuerza de 294N sobre el suelo.

Please help me ...............,..

Answers

Answer:

Angle A and H are Alternate exterior angles and they are congruent.

What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(1/3x) + 6?

A. Stretched horizontally and shifted up
B. Stretched vertically and shifted right
C. Compressed vertically and shifted left
D. Compressed horizontally and shifted down

Answers

Answer:

A but im not sure

Step-by-step explanation:

Which graph represents the function y2 = -16X?

Answers

Answer:

i think it is first, but i'm not sure.

Step-by-step explanation:

the first one is the most logical (to me)

Answer:

the first graph

Step-by-step explanation:

Please awnser correct, I Will give you $Brainlyest$ and pls no wRoNg AwNsErS. lol

Answers

Answer:

b

Step-by-step explanation:

A package in the shape of a rectangular prism has a length of 4 1/2 feet, a width of 2 3/4 feet, and a height of 2 1/3 feet.

What is the volume, in cubic feet, of the package?

Answers

Answer:

28.875

Step-by-step explanation:

you would just multiply the three together

X+2/8=4-x/5 please hurry I’m in a rush

Answers

Wrap

Step-by-step explanation:

xsamksa

PLEASE HELP!?!?!

a. c + 7 less than or equal to 3


b. c – 3 > 1


c. c – 7 < 3


Matching


Match the inequality to the graph of its solution.

Answers

It’s b hope that helped have a great night

What is the solution to the system of equations?

x=-3y-6 3x+4y=2

A) (-30, 8)
B) (-18, 4)
C) (6, -4)
D) (-18, -4)

Hurry!!!!!

Answers

A (-30,8) that’s the answer
Plug eqn 1 into eqn 2
3(-3y-6) + 4y = 2

-9y - 18 + 4y =2

-5y = 20

Y = -4
Plug back into eqn 1
X = -4 * 3 - 6 = -18

(-18,-4)

Plllzzzz illl give a brainliest plz help

Answers

Answer:

d.

Step-by-step explanation:

10^-2 = .01

times 6= .06 and 60%= .6

Answer:

3rd one or 36 i dont have that symbol-

Step-by-step explanation:

well 2/3 is 66 percent, 6.5 is 650% 6x10 2 is 600 and so its the third circle or answer

The figure shows a pair of parallel lines
intersected by another pair of parallel lines.
Are the measures of Z4 and 214 related in
the same way as the measures of 29 and
Z7? Show your work.

Answers

Answer:

Step-by-step explanation:

m∠4 + m∠16 = 180° [Consecutive exterior angles]

m∠16 = m∠14 [corresponding angles]

Therefore, m∠4 + m∠14 = 180°

m∠7 + m∠11 = 180° [Consecutive interior angles]

m∠11 = m∠9 [Corresponding angles]

Therefore, m∠7 + m∠9 = 180°

In both the cases sum of the given angles is 180°.

Therefore, measure of ∠4 and ∠14 are related in the same way as the measurement of ∠9 and ∠7.

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