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
Anastaziya [24]
2 years ago
9

Work out the area of the rectangle

Mathematics
1 answer:
Anna007 [38]2 years ago
8 0

Answer:

48 cm²

Step-by-step explanation:

Let's call the width and height of the rectangle w and h.

w / h = 3 / 4

2w + 2h = 28

Solve the system of equations with substitution.

w = 3/4 h

2 (3/4 h) + 2h = 28

3/2 h + 2h = 28

7/2 h = 28

h = 8 cm

So the width is:

w = 3/4 (8)

w = 6 cm

So the area is:

A = wh

A = 48 cm²

You might be interested in
Use the discriminant to determine how many real number solutions exist for the quadratic equation –4j2 + 3j – 28 = 0. A. 3 B. 2
Zepler [3.9K]

Answer:

C. 0

Step-by-step explanation:

–4j^2 + 3j – 28 = 0

The discriminant is b^2-4ac  if >0 we have 2 real solutions

                                                   =0  we have 1 real solutions

                                                   <0 we have 2 imaginary solutions

a = -4, b =3  c = -28

b^2 -4ac

(3)^2 - 4(-4)*(-28)

9 - 16(28)

9 -448

This will be negative so we have two imaginary solutions.

Therefore we have 0 real solutions

5 0
3 years ago
1. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3 π inches. One day, her sink clogge
Anettt [7]

Answer:

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

7 0
3 years ago
Triangle A'B'C' is a dilation of AABC. What is AB?
Pavlova-9 [17]

Answer:

C. 9

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

8 0
2 years ago
List the single-digit divisors of 2100.<br> I really need help
liberstina [14]

Answer:

  • 1, 2, 3, 4, 5, 6, 7

Step-by-step explanation:

<u>Prime factors of 2100 are:</u>

  • 2100 = 2*2*3*5*5*7

<u>The single-digit divisors are:</u>

  • 1, 2, 3, 2*2= 4, 5, 2*3= 6, 7

-----------------------------------------------------------------

<u>Another solution is you divide 2100 by all numbers 1 through 9 and list those divisible:</u>

  • 2100/1 = 2100, yes
  • 2100/2 = 1050, yes
  • 2100/3 = 700, yes
  • 2100/4 = 525, yes
  • 2100/5 = 420, yes
  • 2100/6 = 350, yes
  • 2100/7 = 300, yes
  • 2100/8 = 262.5, no
  • 2100/9 = 233.33, no

So all the numbers from 1 to 7

5 0
3 years ago
In Store A, you can buy 3 notebooks
PolarNik [594]

Answer:

The price of one notebook is 2$

Step-by-step explanation:

3x + 2= 4x

Take x to the same side —> 4x-3x=2 —> x=2

3 0
2 years ago
Other questions:
  • Take 9 from 6, 10 from 9, 50 from 40 and leave 6. What is the answer?
    9·1 answer
  • You have just arranged for a $1,640,000 mortgage to finance the purchase of a large tract of land. the mortgage has an apr of 6.
    9·1 answer
  • For a variable coded "1" or "2," there are 502 "1s" and 501 "2s." what is the appropriate central tendency measure?
    9·1 answer
  • Name two integers whose product is negative.
    15·1 answer
  • At a rate of 4.25% over 24 months. If he pays $51.00 in interest, what was the original amount of his loan?
    11·1 answer
  • In a rhombus MPKN with an obtuse angle K the diagonals intersect each other at point E. The measure of one of the angles of a ∆P
    11·2 answers
  • Matt has already sold $72 worth of tickets to the benefit concert. He had 6 tickets left to sell at $9 per ticket.
    9·2 answers
  • Rafael's art class is 6 hours long. How long is his class in minutes?
    9·2 answers
  • I need help pleases and ASAP
    9·2 answers
  • A loaf of sandwich bread contains 24 slices. Which of these tables correctly shows the ratios of different numbers of loaves of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!