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3 years ago

Select the correct answer from the drop-down menu find the surface area of this triangular prism

Mathematics

1 answer:

11111nata11111 [884]3 years ago

7 0

Would you please provide us with the options so we can help thanks

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Graph for 4x + 3y = -3

Serga [27]

Answer:

Your answer is: Slope = $-\frac{4}{3}$ Y-intercept = $(0,-1)$

Graph the line using the slope and y-intercept, or two points.

Step-by-step explanation:

Graph Below : ↓

Hope this helped : )

6 0

3 years ago

5(6-i)+(6-i)(3-i). show work.

Bumek [7]

47 -14i

You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...

... = (6-i)(5 + 3-i)

... = (6 -i)(8 -i)

This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.

... = 6·8 -6i -8i +i²

... = 48 -14i -1

... =

_____

A suitable graphing calculator will work these complex number problems easily.

4 0

3 years ago

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The di

lawyer [7]

Answer:

0.0063 ft / min

Step-by-step explanation:

From the problem statement we have that the variation in volume with respect to time is equal 10, like this:

dV / dt = 10 ft ^ 3 / min

We know that the volume of the cone is given by the equation:

V = (1/3) * Pi * r ^ 2 * h

Now, we are mentioned that the diameter of the base of the cone is approximately three times the altitude, therefore:

2r = 3h, solving for r we have:

r = (3/2) * h, replacing the volume equation:

V = (1/3) * Pi * [(3h / 2) ^ 2] * h, solving we have:

V = (3/4) * Pi * h ^ 3

They ask us to calculate the change in height with respect to time, that is dh / dt

Therefore we derive both sides with respect to time, we have to:

dV / dt = (3/4) * Pi [3 * (h ^ 2) dh / dt] = (9/4) * pi * (h ^ 2) * dh / dt

reorganizing for dh / dt, we have:

dh / dt = [4/9 * pi * (h ^ 2)] * dV / dt

Knowing that h is 15 and dV / dt is 10, we replace these values:

dh / dt = [4/9 * 3.14 * (15 ^ 2)] * 10 = 0.0063 ft / min

0.0063 ft / min would be the change in height with respect to time.

4 0

3 years ago

Free points u guys can have them

sertanlavr [38]

Hi thank u vvv much i am currently failing my bio class and in need of help

7 0

3 years ago

Read 2 more answers

1. Graph the function f(x)=4cos(x). (Be sure to label your x-axis.)

Mekhanik [1.2K]

ANSWER

To graph the function

$y=4cos(x)$ we need to plot some few points within one period. Since the interval is not given, we shall use $[0,2 \pi]$ '

$\left \begin{array}{cc}x&y=4cos(x)\\0 &4\\\frac{\pi}{2}&0 \\ \pi&-4\\\frac{3\pi}{2} &0\\2\pi&4\end{array}\right$ .

We plot the above points to obtain the graph as shown in the attachment.

6 0

3 years ago