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
If sin(y degrees) = cos(x degrees), which of the following statements is true?
grin007 [14]

Answer:

Angle y and Angle x are complementary angles

Step-by-step explanation:

we know that

If

sin(y°)=cos(x°)

then

Angle y and Angle x are complementary angles

so

∠y+∠x=90°

∠x=90°-∠y

sin(y°)=cos(90°-y°)

therefore

The sine of an angle is equal to the cosine  of its complementary angle

6 0
3 years ago
Teresa's restaurant bill comes to $29.99 before tax. If the sales
vivado [14]
The answer is $37.86 !! hope this helps
4 0
3 years ago
64. Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can b
Rudiy27

An inequality that represents Denise's goal in terms of the number of hours spent running 'h'

550h\leq 5000

Given :

Denise wants to burn at least 5000 calories a week through running.

she can burn 550 calories per hour

Let 'h' be the number of hours spent

In 1 hour  she can burn  550 calories

In 'h' hours she can burn 550h calories

Given that she want to burn atleast 5000 calories in a week

Burn atleast 5000 calories means <=5000 calories

So , the inequality that represents Denise's goal is

calories burn in h hours  <= 5000 calories

550h\leq 5000

Learn more :  brainly.com/question/381815

5 0
2 years ago
Tim has 393939 pairs of headphones and 131313 music players. Tim wants to sell all of the headphones and music players in identi
viktelen [127]

Answer:

131313

Step-by-step explanation:

The greatest number of packages which includes pairs of headphones and music players is the  greatest common factor of the two numbers:

which is equal to 131313

So, there are 131313 packages that Tim can make with its greatest number. and in each package , there will be 3 pair of headphones and 1 pair of music player.

3 0
3 years ago
Read 2 more answers
Anne has a 10 3/4 pound bag of flour. Each time she bakes a batch of rolls she uses 2 1/6 pounds of flour. How many pounds of fl
LUCKY_DIMON [66]
She will have four pound left because 2 times 3 is 6 and 10 minus 6 is 4
3 0
3 years ago
Other questions:
  • A recipe needs 5/4 of a cup of sugar you are going to triple the recipe how much sugar do you need?
    8·2 answers
  • Find the diameter of circle N if PQ = 14 and PR is congruent to RQ. NR is 5. Round the answer to the tenths place.
    12·2 answers
  • Last one my math genius friends.
    7·2 answers
  • What is the square root of 658
    8·1 answer
  • Using the order of operations, what is the last calculation that should be done to evaluate 4(8 - 6)5² - 6 ÷ (–3)?
    12·2 answers
  • Find a quadratic equation that models the decline in physical recorded music revenue​ (not digital). Let x=number of years since
    6·1 answer
  • How long will it take an investment to triple if the interest is compounded continuously at a rate of
    15·1 answer
  • How many moles are in 4.23 x 1024 formula<br> units of NaCl
    9·1 answer
  • I need help on 4 and 6 please help me. Don’t put a link.
    10·1 answer
  • -7(-2 ( 3x+1)+ 4) +9​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!