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
andreev551 [17]
2 years ago
9

Please help worth 25 points

Mathematics
1 answer:
wariber [46]2 years ago
5 0

Answer:

h=6 feet

Step-by-step explanation:

Given: 1. The base of a rectangle is three feet longer than its height.

2.Are of the rectangle=54 square meters

Let us say the rectangle has height h and base(breadth) b.

Since, the base of the rectangle is three feet longer than the height, we have b=h+3.

Also, Area of the Rectangle= hb

therefore, 54=h(h+3)

54= h2+ 3h

h2+3h-54=0 (Subtract 54 from both the sides)

To find the value of h we have to solve the quadratic equation.

[We have the equation in the form ax2+bx+c=0, to factorise the equation-

Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.

Step2. Replace b with these numbers.

Step3. Simplify the equation]

So, h2+3h-54=0

h2+9h-6h-54=0

h(h+9)-6(h+9)=0

(h+9)(h-6)=0

Which gives-

h= -9 or h= 6

As h is the height of the rectangle, h can not be -9.

so h=6 feet

and b=h+3=9 feet

So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.

You might be interested in
Under his cell phone plan, Liam pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $90 pe
natulia [17]

Answer:

5y+69.50<90

Step-by-step explanation:

You can think of the number of gigabytes he will use as "y", since we don't know the number of gigabytes he will use. The flat cost of one month is $69.50.

You need to add those to calculate the complete cost. The inequality would use a less than sign because he needs to pay less than $90/month. It would not use an inequality sign with a line under it because the problem doesn't say he wants to use $90 or less.

You would solve using basic computation (subtraction and division). Hope this helped!

3 0
2 years ago
30x what equals 120?<br> I need the answer right now
iVinArrow [24]
4 because if you divide 120/30 you get 4
7 0
3 years ago
Read 2 more answers
Describe the key features of polynomial function
Oksi-84 [34.3K]

Answer:

Zeros: x = 1 , − 2 , 2 End Behavior: Falls to the left and rises to the right.

Y-intercept: (0,4)

Step-by-step explanation:

mark me brainliest

3 0
3 years ago
Help this is really hard
scoundrel [369]

Answer:

x = 18, y = 45

Step-by-step explanation:

4x - 7 + a = 180 (linear pair)

But, a = 6x + 7 (alternate interior angles)

=> 4x - 7 + 6x + 7 = 180

=> 10x = 180

=> x = 18

Now, 3y - 20 = 6x + 7 (vertically opposite angles)

=> 3y - 20 = 6(18) + 7

=> 3y = 108 + 7 + 20

=> 3y = 135

=> y = 45

Hope it helps :)

Please mark my answer as the brainliest

4 0
2 years ago
Read 2 more answers
Am I right?<br> I want to know if I am right
german

Answer:

B $13

Step-by-step explanation:

Julie has 16.73  That is approximately 17 dollars

She buys a purse that is 4.12.   That is approximately 4 dollars

17 -4 = 13

She will have approximately 13 dollars left

8 0
3 years ago
Read 2 more answers
Other questions:
  • A company pays 75 percent of each employee's medical care premium. If the employee portion is $50 per month and there are 100 em
    5·2 answers
  • 50 POINTS Please Help!! I'll mark you as Brainliest if correct!!<br> Question is attached.
    13·1 answer
  • Please tell me the answer and how you got it
    7·1 answer
  • What multiplication expression can you use to solve 627÷11?
    14·2 answers
  • Brian is playing a video game. He earns the same number of points for each star he picks up. He earned 2,400 points for 6 stars,
    9·2 answers
  • Chandler is on a hike in the woods. He has an altimeter with him, and Chandler uses it to measure his height above sea level at
    10·1 answer
  • Please helpppppp meeeee
    5·1 answer
  • Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month until she is finished. Write a l
    12·2 answers
  • Pls need answer ASAP
    5·1 answer
  • In a class election, 30 students voted for Emerald and 15 students voted for Beau. What percent of students voted for Beau?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!