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3 years ago

The length of a rectangular piece of land is 4ft more than two times its width. The perimeter is 32ft. Find the dimensions.

1 answer:

5 0

Since perimeter equals 2(l+w), you can do 32/2 = 16. That means l + w = 16. Then, 2x+4+x = 16, so you can do 3x = 12, getting us that the width is 4, and the length is 12.

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69) Half-way to the center of a planet of uniform density, your weight compared to that at the surface would be :

mel-nik [20]

Answer:

One- half

Step-by-step explanation:

Since the density is uniform

Mass of the sphere = [(4/3) π r^3] d

where d is the uniform density.

Mass of the sphere = [(4/3) π d] r^3 = k r^3

where k = [(4/3) π d] is a constant

Weight = mg = G m M / r^2 = G m [k r^3] /r^2 = G m k r

Using Gauss’ law for gravitation,

Half way to the center of a planet the weight is only due to the inner sphere and the outer sphere does not contribute to his weight,

Inside his weight is mg’ = (G m k r) /2 = mg/2

Answer is one-half.

7 0

3 years ago

Does the table represent a linear function? Explain why or why not

OlgaM077 [116]

The table doesn't represent linear function

Step-by-step explanation:

We need to identify if the table represent a linear function or not.

Linear Function

A linear function is defined as a straight line with an x and y intercept and the same slope through the whole line.

Finding the slope of elements in the table:

x y

0 0

1 1

2 8

3 27

Slope= y/x

Slope = 0/0=0

slope = 1/1 = 1

slope = 8/2 = 2

slope = 27/3 = 9

The function represented is: y=x^3

Since the slope of points x and y in the table is not same, and its graph is not linear.

So, the table doesn't represent linear function

Keywords: Linear Function

Learn more about Linear function at:

#learnwithBrainly

4 0

3 years ago

Are integers_____ rational numbers? Always Sometimes Never

Alexandra [31]

Answer:

sometimes because it depends on the sign whether it's negative or positive

4 0

3 years ago

Read 2 more answers

Kelly wants to cut her birthday cake into 20 equal pieces. If she uses all of the cake, what is the correct angle she needs to c

klasskru [66]

Answer: Well if i am correct she would be cutting acute angles.

4 0

3 years ago

Liz wants to estimate the percentage of people who rent their home. She surveys 320 individuals and finds that 176 rent their ho

SOVA2 [1]

Answer: 0.065

Step-by-step explanation:

Given : Sample size : n= 320

The sample proportion of people who rent their home : $p=\dfrac{176}{320}=0.55$

Significance level : $\alpha:1-0.98=0.02$

Then , Critical value : $z_{\alpha/2}=2.33$

The formula to find the margin of error : -

$E=z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\\Rightarrow\ E=(2.33)\sqrt{\dfrac{0.55(1-0.55)}{320}}\\\\\Rightarrow\ E=0.064799034281\approx0.065$

Hence, the margin of error for the confidence interval for the population proportion with a 98% confidence level =0.065

4 0

3 years ago