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3 years ago

Find the missing side and round to the nearest tenth

Mathematics

1 answer:

xxMikexx [17]3 years ago

5 0

In this problem you use cosine because you know the hypotenuse and you want to know the adjacent side of the triangle. So in your calculator you would input cos(52). Then you would multiply that answer with the hypotenuse side. So your equation would be this: cos(52) x 13

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(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an

Wittaler [7]

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>

The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1 and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) = 4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

To know more about the maxima, here

brainly.com/question/17184631

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4 0

1 year ago

ordered pairs in which of these formats do not have to represent a function? (Length of side of a square,perimeter of square)

Daniel [21]

Answer:

perimeter of square

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

An elevator was stopped at the 18th floor. Penny got in and went 14 floors down and got off. What floor did she get off at?

Papessa [141]

If the elevator stopped at the 18th floor and she got in and went 14 floors down and got off, she got off on the 4th floor

5 0

3 years ago

I don't get this. can someone help me. I have a whole packet of this.

Harrizon [31]

For #2, ∠3 and ∠1 are supplementary. You know that the measure of ∠1 is 162°, so what is ∠3? 180-162=18.
m∠3=18° if ∠1=162°.
Hope this helped!

7 0

3 years ago

Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob

miskamm [114]

Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

$P(x)=^nC_x p^x q^{n-x}$

Where, $^nC_x=\frac{n!}{x!(n-x)!}$

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

$^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}$

$=36(0.12)^2 (0.88)^7+84(0.12)^3 (0.88)^6$

$=0.279266611163$

$\approx 0.28$

$=28\%$

7 0

3 years ago