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
Lena [83]
3 years ago
14

A rectangle has an area of 384 m². The length and the width of the rectangle are changed by a scale factor of 0.75.

Mathematics
2 answers:
12345 [234]3 years ago
8 0
We are tasked to solve for the area of the new rectangle. The formula of solving area of the rectangle is A = width * length

Old triangle Area = 384 m² = w * l
New triangle Area we have:
Area = w * 0.75l
384 m² = w*0.75l
384 / 0.75 = w*l
288 m² = w*l

The answer is 288 m².
PolarNik [594]3 years ago
6 0

Answer:  216\ m^2

Step-by-step explanation:

A rectangle has an area of 384 m².

Let l and w are the length and the width of the original rectangle, such that the area of the rectangle is given by ;-

A=lw=384

The length and the width of the rectangle are changed by a scale factor of 0.75 will be:

l'=0.75l\\\\w'=0.75w

Now, the area of the new rectangle will be :

A=l'w'=0.75l\times0.75w\\\\=(0.75)^2(lw)\\\\=(0.5625)(384)=216\ m^2

Hence, the area of the new rectangle=216\ m^2

You might be interested in
Is 7766 a even number ?
fiasKO [112]

Answer: Yes.

Step-by-step explanation: If a number ends in 0, 2, 4, 6, or 8, the number even number.

6 0
3 years ago
How do you do this problem? 3x+1=10
Vlad1618 [11]
This should help 10-1=9 9÷3=3 x=3
5 0
3 years ago
Read 2 more answers
A group of pennies made in 2018 are weighed. The mean is approximately 2.5 grams
Hatshy [7]

Answer:

*  The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.

* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.

Step-by-step explanation:

Recall that a penny is a money unit. It is created/produced, just like any other commodity. As a matter of fact, almost all types of money or currency are manufactured; with different materials ranging from paper to solid metals.

A group of pennies made in a certain year are weighed. The variable of interest here is weight of a penny.

The mean weight of all selected pennies is approximately 2.5grams.

The standard deviation of this mean value is 0.02grams.

In this context,

*  The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.

* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.

Likewise, adding 0.02g to the mean, you get the highest penny weight in the group.

Hence, the weight of each penny in this study, falls within

[2.48grams - 2.52grams]

4 0
3 years ago
If contact lenses cost 80$ how much will they cost if they are with 10% off?
nevsk [136]

10% of 80 = 8

80 - 8 = 72

if they are 10% off, the contact lenses will cost $72

6 0
3 years ago
Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i
Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

  • Amount invested or principal amount as $5048
  • Rate of interest as 4% compounded 12 times per year
  • Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

A=P(1+\frac{r}{100})^n

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

6,163.59=5,048(1+\frac{0.333}{100})^n

1.221=(1+\frac{0.333}{100})^n

1.221=(1.0033)^n

introducing logarithms on both sides;

log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

                            = 5.0508

                            = 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0
3 years ago
Other questions:
  • Sue has 4 pieces of wood. The lengths of her pieces of wood are 1/3 foot, 2/5 foot, 3/10, and 1/4 foot. Which piece of wood is t
    14·1 answer
  • Help!! 10 PTS!!
    5·1 answer
  • A dialysis unit requires 75000 mL of distilled water. How many gallons of water are needed?
    7·1 answer
  • Jonathan buys 400 grams of trail mix that contain 18% cashew nuts. He mixes it with 200 grams of trail mix that contain 7% cashe
    5·1 answer
  • Help please I'll give you brainliest
    11·1 answer
  • Complete the statement to describe the expression abc + def
    13·1 answer
  • I NEED help Zane is determining whether the given value of the variable is a solution of the equation.
    5·2 answers
  • Please help me thanks please
    5·1 answer
  • If a bag contains 16 red, 4 yellow, 20 blue, and eight white balloons, what is the part to whole ratio of red balloons to all ba
    13·1 answer
  • A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 76m wide. F
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!