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2 years ago

The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.

Mathematics

1 answer:

aliya0001 [1]2 years ago

5 0

Answer:

P = 2(n - 6) + 2(n^2 - 8)

Step-by-step explanation:

Remembering that Area = Length times Width, we factor the given function

A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:

A = n^3 - 6n^2 - 8n + 48 factors as follows:

A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)

We can label '(n - 6)' "width" and '(n^2 - 8'

length.

Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:

P = 2(n - 6) + 2(n^2 - 8)

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Find the length of side x. Show steps please!

yawa3891 [41]

Answer:

$\large{x=7.4438\ cm\approx7.4\ cm}$

Step-by-step explanation:

Use tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have:

$\alpha=28^o,\ opposite=x,\ adjacent=14\ cm$

$\tan28^o\approx0.5317$

Substitute:

$\dfrac{x}{14}=0.5317$ <em>multiply both sides by 14</em>

$x=7.4438\ cm$

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2 years ago

Whats bigger 0.32 or 1/4??

vredina [299]

Answer:

0.32 is bigger

Step-by-step explanation:

change 1/4 to decimal

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2 years ago

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There are an equal number of pennies, nickels, dimes, and quarters in a bag. What is the probability that the combined value of

Anettt [7]

Answer:

the probability is 0.09375

Step-by-step explanation:

From the question we know that there are equal number of pennies, nickels, dimes and quarters, So the probability of get of select one penny, or one nickel, or one dime or one quarter is the same. This is equivalent to have one of every coin and select four with replacement.

Additionally, the only way that the combined value of the four coins selected will be $0.41 is that the person select one penny, one nickel, one dime and one quarter.

The total ways of select 4 coins from 4 types of coins is calculate by the rule of multiplication as:

4*4*4*4=256

And for obtain the value of $0.41 the number of ways are:

4*3*2*1=24

Then the probability that the combined value of the four coins randomly selected with replacement will be $0.41 can be calculated as:

P=24/256=0.09375

8 0

2 years ago

Please help, I don't understand part a or b.

Serggg [28]

Part A
25-9=16
16/2=8
The length of the rope holding the top right corner of the banner to the post is 8 feet long

Part B
13-9-2= 2 for width
25-8=16 16/2=8 for length
Use the Pythagorean Theorem
$a^{2}$ + $b^{2}$ = $c^{2}$
$8^{2}+ 2^{2}= c^{2}$
64+4= $c^{2}$
68= $c^{2}$
$\sqrt{68}= \sqrt{c}$
34=c
The length of the rope from the bottom right corner of the banner to the post is 34 feet

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2 years ago

If t a n squared θ = 3 /8 , what is the value of s e c θ

TEA [102]

We can use 3 facts:

$\tan{\theta}=\frac{y}{x}$

$\sec{\theta}=\frac{r}{x}$

$x^2+y^2=r^2$

So, to find our x and our y we can do:

$\tan^2{\theta}=\frac{3}{8} \implies \\ \tan{\theta}=\pm{\sqrt{\frac{3}{8}}=\pm\frac{\sqrt{3}}{\sqrt{8}}$ So, now that we know our x and our y we can find our r.

$(\sqrt{3})^2+(\sqrt{8})^2=11 \implies r=\sqrt{11}$

You'll notice, though, that there were two solutions for $\tan{\theta}$ , which means we have a positive and a negative for our x. So:

$\sec{\theta}=\frac{\sqrt{11}}{\sqrt{8}} \\ \sec{\theta}=-\frac{\sqrt{11}}{\sqrt{8}}}\\ \text{Rationalizing both of them:}\\ \sec{\theta}=\frac{\sqrt{88}}{8} \\ \sec{\theta}=-\frac{\sqrt{88}}{8}$

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2 years ago

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