1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Jlenok [28]
3 years ago
15

The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.

What is the height?
Mathematics
1 answer:
nordsb [41]3 years ago
5 0

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

You might be interested in
In a data ,range is 17 and coefficient of range is 0.2 find the smallest term of the data.
anygoal [31]

Answer:

Step-by-step explanation:

Let largest value of data be L

and smallest value of data be S.

We are given that the range and coefficient of range of the data are 17 and 0.2 respectively.

Range formula is given by = Largest value - Smallest value

                   17  =   L - S

                  L = 17 + S ---------- [Equation 1]

Coefficient of range formula = (Largest - Smallest) ÷ (Largest + Smallest)

                                       0.2   =    l-s/l+s

                                      0.2 = 17/l+s

                 L + S = 17/0.2 = 85

So,    L + S = 85

       17 + S + S = 85   {using equation 1}

           2*S = 80

             S = 80/2 = 40

Putting value of S in equation 1, we get L = 20 + 40 = 60

Therefore,  Largest value, L = 60

               smallest value, S = 40

                         

5 0
3 years ago
Why is this trendline wrong?​
hichkok12 [17]

Answer:

eff

Step-by-step explanation:

re

v

er

v

er

v

erv

8 0
3 years ago
Many experts have argued for the elimination of rote memorization as a method for learning mathematical facts such as basic oper
N76 [4]
I think they should keep it around, even if it might not be the most efficient strategy. After all, what if you need to solve a problem using multiple strategies?
5 0
3 years ago
3
pentagon [3]

Answer:

cant see picture but it is an easy question based on equilateral that has 3 identical angles and is congruent. A Scalene has odd sides and is not congruent and an isosceles has two sides identical. You can also get two type of right angled triangle only 45 45 plus 90 for right angle would be be congruent

Step-by-step explanation:

3 0
3 years ago
John borrows $6.50 from his friends to pay for snacks, and $11.75 from his sister to go to the movies how much money does he nee
Nina [5.8K]

John has borrowed $6.50 from his friends and $11.75 from his sister. To find how much money he needs to repay you can just add up the amount of money he has borrowed.

Make an equation to solve for this, where x = amount of money John needs to repay. Make the amount of money John borrowed add up to x. Your equation should look like:

$6.50 + $11.75 = x

Combine like terms (add 6.50 and 11.75).

$18.25 = x

After solving the equation, you have figured out that John need to repay $18.25 in total.

6 0
3 years ago
Read 2 more answers
Other questions:
  • A South American Rainforest Spider Monkey has a solution that is 60% banana juice and another solution that is 40% banana juice.
    9·2 answers
  • Two thirds a number plus 4 is 7
    8·1 answer
  • The lower half of a square pyramid is made of granite and the top half is made of limestone. Explain how you could find the surf
    12·1 answer
  • A salesman makes 5% commission on sales. What is his commission on $4,321 worth of sales?
    9·2 answers
  • Yo Please Help 25 Points and BRAINLEIST
    7·1 answer
  • Whats 1+1 because im having trouble
    13·2 answers
  • Estimate 5 × 4257 then find the product
    8·1 answer
  • Which of the following expressions are equal to -58? Select all that apply
    15·2 answers
  • 18. The price of 1 box of popcorn and 1 drink together is The price of popcorn and 1 drink together is What is the cost of 1 dri
    10·2 answers
  • What is the slope of the line shown below
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!