All categories

3 years ago

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.

2 answers:

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.

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