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
asambeis [7]
3 years ago
15

How do I do this.?.?.

Mathematics
2 answers:
viktelen [127]3 years ago
3 0
108 = ( x)(48-x)
108 = 48x - x^2
48x -x^2 -108 = 0

I'm assuming you're doing solve the square right now, so you should be able to do the rest.
Karo-lina-s [1.5K]3 years ago
3 0
Okay, so we know the Perimeter is 48m and the Area is 108m²

the formulas you'll need are P = 2(w+h) and A = w*h (w = width and h = height)

so...     2(w+h) = 48               w*h = 108
            w+h = 24                   w = 108/h
            w = 24 - h                  h = 108/w
            <span>h </span>= 24 - w

Now we choose one of the variables (I'll pick w) and set the two corresponding equations equal to eachother.

w = 24 - h = 108/h

then, do some algebra to get  h² - 24h + 108 = 0

Recall that in the original question they told us that one of the sides is represented by <span>x. So, lets sub in x for h from now on. (I'll explain why at the end)

so,   x</span>² - 24x + 108 = 0

this is a qudratic equation and can be factored into (x - 18)(x - 6) = 0

set each factor equal to zero and solve for x

you get   x = 18   and   x = 6

the reason we subbed in x was because i knew we would get two answers and it might have been confusing to get two answers for h or w. With x though, you can now choose which value you want to assign to which variable.

to check this answer, you can go back to the top with the equations for perimeter and area and plug these numbers into the equation in any order and it should work.

if that all made sense, you should figure out that the dimensions will be 18m by 6m
You might be interested in
What's the answer for 1/2 of 3/5?
Zigmanuir [339]

Answer:

3/10

Step-by-step explanation:

6 0
3 years ago
a video game has 35 levels in it if you beat 5 of the levels what is the ratio of levels left to the levels that have been beate
marta [7]

We have 35 - 5 = 30 levels left to beat.

The question is asking us for the levels left to beat, to the ones that already have been beaten:

30 : 5

Simplified;

6 : 1

8 0
3 years ago
allen is mixing red and yellow paint to make two different shades of orange. to make 1 cup of dark orange paint he needs 7 ounce
slavikrds [6]

Answer:

42 ounces of yellow paint.

Step-by-step explanation:

  • To make three cups of dark orange, you just need to remember that to make one cup you need: 7 ounces of red paint and 1 ounce of yellow paint. Then, to make three cups, we just have to multiply these proportions by three,which means 7x3 ounces of red paint =21 ounces of red paint, plus 3x1 ounces of yellow paint =3 ounces of yellow paint. Then we need 21 ounces of red paint and 3 of yellow paint to make three cups of dark orange.
  • To make one cup of light orange, we need 13 ounces of yellow paint, and 3 ounces of red paint. Then, to make three cups, we just multiply this proportion by 3, as follows: 13x3 ounces of yellow paint = 39; and 3x3 ounces of red paint =9.  Then we need 9 ounces of red paint and 39 of yellow paint to make three cups of light orange.
  • Adding up the amount of ounces we need to make dark orange and light orange, we get a total amount of 21+9=30 ounces of red paint and 3+39=42 ounces of yellow paint to make three cups of light orange and three cups of dark orange.
7 0
3 years ago
5. As two boats are coming to the end of a race, a top view of their positions is
Dafna1 [17]

The distance of the boat on the right to the finish line is 297.29 m and the distance of the boat on the left to the finish is 294.11 m, so the boat on the left will reach the finish line faster.

<h3>How do you know which boat will reach the finish line faster? </h3>

The image shows two triangles of which we know an angle and the value of the opposite leg. Therefore, we can perform a mathematical operation to know the value of the hypotenuse of these triangles, which would be the distance of the boats to the goal as shown below.

h = hypotenuse

  • Right Boat

Sen 22° =  \frac{110 m}{h}

h = \frac{110 m}{ Sin 22}

h = \frac{110 m}{0.37}

h = 297,29 m

  • Left boat

Sen 20° = \frac{100}{h}

h = \frac{|00 m}{ Sin 20}

h = \frac{100 m}{0.34}

h = 294,11 m

According to the above, the distance of the boat on the left is less, so it can be inferred that this boat will reach the finish line faster.

Learn more about triangles in: brainly.com/question/2269348

8 0
2 years ago
Determine the x- and the y-intercepts of these graphs. a) y = x-2​
Ivanshal [37]

Answer:

y-intercept = (0, -2)

x-intercept = (2, 0)

Step-by-step explanation:

The y-intercept is the value of y when x = 0. Therefore, Given the linear equation, y = x - 2:

Let x = 0:

y = 0 - 2

y = -2.

Therefore, the y-intercept of the linear equation, y = x - 2  is (0, -2).

The x-intercept is the value of x when y = 0.

Therefore, let y = 0:

y = x - 2

0 = x - 2

Isolate x by adding 2 to both sides of the equation:

0 + 2 = x - 2 + 2

2 = x

Therefore, the x-intercept is (2, 0).

5 0
3 years ago
Other questions:
  • Write an equation in slope-intercept form of the line that passes through the point (-2,1) and is perpendicular to the equation
    10·1 answer
  • Verify that the following is a Pythagorean Triple: 105, 233, 208
    13·1 answer
  • Alice's garden produced 17 yellow tomatoes this year. She also grew 18 roma
    9·1 answer
  • What is the volume of the rectangular prism?
    11·2 answers
  • An experiment involves 31 participants. From these, a group of 5 participants is to be tested under a special condition. How man
    15·1 answer
  • The distance between Cincinnati,Ohio and Charlotte,North Carolina,is about 336 miles. The distance between Cincinnati and Chicag
    10·1 answer
  • Help me me me. Me me
    10·1 answer
  • Mr. Joaquin had $71.25 in his bank account, but then he bought some new ties and pants. After the purchase, he was in debt $25.2
    12·1 answer
  • 3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
    14·1 answer
  • Seven students in class A and ten students in class B ate pizza. There are 25 students in class A and 30 students in class B. Wh
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!