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3 years ago

Show work please 100 points plus brainliest

Mathematics

1 answer:

JulsSmile [24]3 years ago

7 0

Answer:

10. :)

Step-by-step explanation:

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Evelyn packed this box with 1-inch cubes. Which expression does NOT show how Evelyn can find the volume of the box?

gregori [183]

Answer:

2+3+6 is the incorrect expression

8 0

2 years ago

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

1 year ago

Find the area of parallelogram ABCD given m A = 30 and the following measures.

Nuetrik [128]

Answer: SECOND OPTION

Step-by-step explanation:

The area of a parallelogram can be calculated with this formula:

$A=bh$

Where "b" is the of one base and "h" is the height.

You can observe in the figure that "b" and "h" are:

$b=AB=4\sqrt{2}ft\\\\h=AX=3ft$

Then, substituting these values into the formula, you get that the area of the given parallelogram is:

$A=(4\sqrt{2}ft)(3ft)\\\\A=12\sqrt{2}ft^2$

This matches with the second option.

4 0

2 years ago

Solve:

Marta_Voda [28]

Answer:

64%

Step-by-step explanation:

have a great day and good luck

4 0

2 years ago

0.11/0.2 as a decimal

kodGreya [7K]

Answer:

0.55

Step-by-step explanation:

To write 0.11/0.2 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 0.11 by 0.2 what we write down as 0.11/0.2 and we get 0.55 And finally we have, 0.11/0.2 as a decimal equals 0.55

8 0

2 years ago