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3 years ago

a rectangle has a length of 3.6 in. and a perimeter of 16.8 in. enter the width of the rectangle, in decimal form, in the box.

Mathematics

2 answers:

ddd [48]3 years ago

8 0

Hello! What you can also do is:

16.8 = 2(3.6) + 2w (I know same equation :D)

16.8 = 7.2 + 2w

Then take 7.2 away from both sides: 7.2 - 16.8 = 7.2 + 2w - 7.2

This should be your answer: 9.6 = 2w

Then just divide 2 from both! 9.6/2 = 2w/2

You should get the same answer! 4.8 = w

It was a lot simpler to do it this way! Anyways, have a great day!

arsen [322]3 years ago

4 0

The perimeter of a rectangle is the sum of all the side lengths of the rectangle. For a rectangle, we two lengths and two widths so the perimeter can be calculated as:

P = 2l + 2w

We can use this formula to calculate for the width.

16.8 = 2(3.6) + 2w
w = (16.8 - 2(3.6)) / 2
w = 4.8 in

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A line passing (a,3) and (5,5) is perpendicular to a line passing through (0,0) and (1,a) Find the value of a.

vodka [1.7K]

Answer:

a = -5

Step-by-step explanation:

(5 - 3)/(5 - a)

2/(5 - a)

perpendicular of 2/(5 - a) = -(5 - a)/2

(a - 0)/(1 - 0) = -(5 - a)/2

a/1 = -(5 - a)/2

2a = -5 + a

a = -5

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3 years ago

starting at home, nadia traveled uphill to the grocery store for 30 minutes at just 4 mph. she then traveled back home along the

ankoles [38]

Distance from home to store = 4 * 0.5 = 2 miles.
Time taken to return home = (2/12) * 60 =10 minutes.
Total distance traveled = 2 * 2 = 4 miles.
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$Average\ speed=\frac{4}{\frac{40}{60}}=\frac{4\times60}{60}=6\ mph$

3 0

3 years ago

Read 2 more answers

In a manufacturing process, a random sample of 36 bolts has a mean length of 3 inches with a standard deviation of .3 inches. Wh

Liula [17]

The 99 percent confidence interval for the true mean length of the bolt is CI = (2.8712, 3.1288)

<h3>How to find the confidence interval?</h3>

Confidence Interval is used to tell us the degree of certainty or uncertainty that is existent in a sampling method.

The general formula for confidence interval is;

CI = x' ± z(s/√n)

where;

x' is sample mean

z is z-score at confidence level

s is sample standard deviation

n is sample size

We are given;

sample size; n = 36

Sample mean; x' = 3 inches

standard deviation; s = 0.3 inches

confidence level = 99%

z at 99% CL = 2.576

Thus;

CI = 3 ± 2.576(0.3/√36)

CI = 3 ± 0.1288

CI = (2.8712, 3.1288)

Read more about Confidence Interval at; brainly.com/question/17097944

#SPJ1

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1 year ago

What is the slope of the line shown below?

IrinaVladis [17]

Answer:

D. 7/3

Explanation:

Y1 - Y2 / X1 - X2

9 - -5 / 6 - 0

9 + 5 / 6

14 / 6

7/3

3 0

3 years ago

Find center,foci, and vertices of ellipse (x+3)^2/21+(y-5)^2/25=1

sasho [114]

I don't know if we can find the foci of this ellipse, but we can find the centre and the vertices. First of all, let us state the standard equation of an ellipse.

(If there is a way to solve for the foci of this ellipse, please let me know! I am learning this stuff currently.)

$\frac{(x-x_{1})^2}{a^2}+ \frac{(y-y_{1})^2}{b^2}=1$

Where $(x_{1},y_{1})$ is the centre of the ellipse. Just by looking at your equation right away, we can tell that the centre of the ellipse is:

$(-3,5)$

Now to find the vertices, we must first remember that the vertices of an ellipse are on the major axis.

The major axis in this case is that of the y-axis. In other words,

$b^2>a^2$

So we know that b=5 from your equation given. The vertices are 5 away from the centre, so we find that the vertices of your ellipse are:

$(-3,10)$
& $(-3,0)$

I really hope this helped you! (Partially because I spent a lot of time on this lol)

Sincerely,

~Cam943, Junior Moderator

6 0

3 years ago