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
NARA [144]
3 years ago
14

A rectangle with an area of 4/7 meters squared is dilated by a factor of 7. What is the area of the dilated rectangle?

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer:

49

Step-by-step explanation:

Every time you multiply both sides of a rectangle by a number x, its area if multiplied by x^{2}.

In our example:

Area of a rectangle = width . length

width = 4

length   = 7

A_{1} = 4 . 7 = 28

When you multiply both sides by 7:

width = 4 . 7 = 28

length = 7 . 7 = 49

A_{2}  = 28 . 49

A_{2}  = 1372

A_{2}  / A_{1} = 1372 / 28 = 49 = (7)^{2}

Both sides multiplied by 7 => Area multiplied by 7^{2}

Got it?

;-)

You might be interested in
I need help please and thanks
Luba_88 [7]

1. 3p: Add 6 to negative 3, and carry over the "p"

3. 6x: Subtract 1 from 7 and carry over the "x"

5. -4v: Add 6 to negative 10 and carry over the "v"

7. -4r + 9: Add 5 to -9 and carry over the "r". Then put "+9" after the variable, since the other 9 was by itself.

9. 14n: Add 5 to 9 and carry over the "n".

I hope this helps!

8 0
3 years ago
Which word sentence represents the equation?
PolarNik [594]
I believe its the second one because it say four times the number wich the number is the y and it is = too the number wich is y and increased going up are adding by 9. hope that helped.
8 0
3 years ago
Read 2 more answers
Mina drew 15hearts,6stars and 16 circles.What is the ratio of stars to hearts to circles?
GenaCL600 [577]

answer

6:15:16

step-by-step explanation

the ratio of stars to hearts to circles is stars:hearts:circles

plug in 6 for stars, 15 for hearts, and 16 for circles

6:15:16

since these do not have a common factor, this is your final answer

7 0
3 years ago
Read 2 more answers
Put these in order from least to greatest!: 88/25, 3.551, 3.88, 3 11/20
DedPeter [7]

Rewrite all 4 numbers as decimals to compare them:

88/25 = 3.52

3 11/20 = 3.55

Now arrange them in the correct order:

88/25, 3 11/20, 3.551, 3.88

7 0
2 years ago
Read 2 more answers
The Earth completely rotates on its axis once every 24 hours.
strojnjashka [21]

Answer:

A)

62/3 = 20.67 hours

B)

60.00 hours

C)

2074.29 miles

Step-by-step explanation:

If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.

A)

In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;

(24/360) = (x/310)

solving for x;

x = (24/360) * 310 = 62/3 = 20.67 hours

B)

In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;

(24/2π radians) = (x/5π radians)

Solving for x;

x = (24/2π radians)*5π radians = 60 hours

C)

If the diameter of the earth is 7920 miles, then in 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle we have;

circumference = 2*π*R = π*D

                         = 7920π miles

Therefore, the speed of the earth is approximately;

(7920π miles)/(24 hours) = 330π miles/hr

The distance covered by a point in 2 hours will thus be;

330π * 2 = 660π miles = 2074.29 miles

8 0
3 years ago
Other questions:
  • Which of the following statements is true about the triangles below?
    12·1 answer
  • What is the answer ?
    13·2 answers
  • 1.
    6·1 answer
  • How can I work this out or solve this?
    6·1 answer
  • Please help me with this question!!
    8·1 answer
  • A sample with mean of 85 and SD of 12 is transformed into z-scores. After the transformation, what are the values for the mean a
    6·1 answer
  • 7 times something equals 94
    6·2 answers
  • The area for the circle below is
    15·1 answer
  • Please guys i need my grades to be up in 3 weeks :( i need all the help i can get
    5·1 answer
  • Wat is <br><br> $3.459B<br> 2.443B<br> $55.838B<br> 85.965B <br> in dollars pls
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!