The area of the triangle below is 6.12 square feet. What is the length of the base?

Graph the equation<br> y=-2x+1

Fofino [41]

Start by plotting the y-intercept at (0,1).

From that point, count "up 2, right 1" to get a second point on your graph.

If needed repeat that "up 2, right 1" from that second point to get a third point.

Draw the line that connects these 2 or 3 points.

6 0

3 years ago

The earth has an average diameter of 12.800km. If you walked 24 hours a day, 5 days a week (and if you could walk on water)at a

Dimas [21]

1) Circumference of Earth: Diameter x π → 12,800 x π = 40,212.39 km

2) time in Hour = distance/speed → distance = 40,212.39 and speed = 2 Mi/h

1st: convert miles into km : 1 mile = 1.609344 km and 2 miles = 3.218688 km
2nd: convert speed into km/h → speed = 3.218688 km/h
And time in hour = 40,212.39 / 3.218688 → time = 12,493 hours OR in days:
12,493 / 24 = 521 days (OR 104 weeks, including 2 days of rest)

4 0

3 years ago

A bag contains five red marbles, fifteen black marbles, and ten white marbles. You pick one without looking. What is the probabi

aliya0001 [1]

Answer:

Step-by-step explanation:

5 red

15 black

10 white

altogether the is 30 marbles so that means it is 'out of' 30

and because the is 5 red it would be 5/30

and because the is 10 white it would be 10/30

that should be the answer but if you have to work the total all together then it would be 15/30

hope this helps :)

6 0

3 years ago

Find derivative problem<br> Find B’(6)

dalvyx [7]

Answer:

$B^\prime(6) \approx -28.17$

Step-by-step explanation:

We have:

$\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)$

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

$\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]$

We can move the constant outside:

$\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]$

Now, we will utilize the product rule. The product rule is:

$(uv)^\prime=u^\prime v+u v^\prime$

We will let:

$\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t$

Then:

$\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1$

(The derivative of u was determined using the chain rule.)

Then it follows that:

$\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}$

Therefore:

$\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]$

By simplification:

$\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17$

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0

3 years ago

Cells B1, C1, and D1 contain the values Seat1Row1, Seat1Row2, and Seat1Row3. If cells B1, C1, and D1 were selected, and autofill

Reil [10]

Answer:

The autofilled values would be Seat1Row4, Seat1Row5, Seat1Row6

Step-by-step explanation:

Given

B1 = Seat1Row1

C1 = Seat1Row2

D1 = Seat1Row3

Required

Values of E1, F1, G1 if autofilled

Autofill in Microsoft Office Excel (Ms Excel).is used to automatically fill cells base on suggestion from previous cells.

The autofill feature of Ms Excel works data types such as numbers and alphanumeric among others.

But for autofill to work on alphanumeric in Ms Excel, only the numeric part will be altered.

In this case, the series of text in B1, C1 and D1 are Seat1Row1, Seat1Row2, Seat1Row3

"Seat1Row" will be regarded as string while 1,2,3 will be incremented and the resulting alphanumeric values will be saved in their respective cells.

Hence,

Cell E1 will be filled with Seat1Row4

F1 will be filled with Seat1Row5

G1 will be filled with Seat1Row6

See attachment

6 0

3 years ago

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