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2 years ago

A cube shaped box has a volume of 27 cubic inches. What is the length of each side? Show your work

Mathematics

1 answer:

Mars2501 [29]2 years ago

5 0

Answer:

9 x 3 = 27

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Step-by-step explanation:

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Tan y+cot y= sec y x csc y<br> prove the identity <br> (y is the variable)

adell [148]

Answer:

Step-by-step explanation:

tany+coty =

$\frac{siny}{cosy} + \frac{cosy}{siny}$ ·

$\frac{sin^{2}y + cos^{2}y }{cosysiny}$

$\frac{1}{cosysiny}$

$(secy) (cscy)$

3 0

2 years ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

2 years ago

Consider the figure below where l2 intersects l1 and m∠2=90°.

mina [271]

Layla bu la 520 and glue 729

3 0

2 years ago

X-5y=55 slope intercept form

Talja [164]

Answer:

y = x/5 -11

Step-by-step explanation:

y = mx + b (slope intercept form)

5y = x-55

y = x/5 -11

4 0

2 years ago

Again answer as many as you can

Keith_Richards [23]

For #3, it's 5.4 because you divide the total amount of money made by the amount of money earned per hour.

49.95/9.25=5.4 hours

7 0

2 years ago

Read 2 more answers