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2 years ago

It says to calculate the area of the sector and t round to the nearest hundredth and to use 3.14 for Pi

Mathematics

1 answer:

fenix001 [56]2 years ago

5 0

Answer:

Step-by-step explanation:

The formula for the area of a sector is

$A=\frac{\theta}{360}*\pi r^2$ where theta is the measure of the central angle (which is the same measure as that of the arc that is intercepted by the 2 radii formig the angle), and r is the radius.

For us, theta is 90 degrees and r is 20. Filling in the formula:

$A=\frac{90}{360}*(3.14)(20)^2$ which simplifies down a bit to

$A=\frac{1256}{4}$ so

A = 314 m squared

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What is the volume of the prism?

Vika [28.1K]

For the volume, the formula is length*width*height
so
(2)(1.5)(1.5)=4.5
In other words, your answer would be 4.5

8 0

2 years ago

Read 2 more answers

The sum of two numbers is 72 and their difference is 26. find two numbers?

Archy [21]

9514 1404 393

Answer:

23, 49

Step-by-step explanation:

Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...

s + (s+26) = 72

2s = 72 -26

s = (72 -26)/2 = 23

Then the larger number is

s +26 = 49

The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

72/2 ± 26/2 = {36+13, 36-13} = {49, 23}

7 0

2 years ago

The function y=40x describes how far from home Shu Ling is as she drives from Dallas to Miami. Graph the function. Use the graph

oksano4ka [1.4K]

Answer:

You can see the graph below.

To answer the question, you need to draw a vertical line from x = 12h up, until the line meets with the line.

Once the line meets with the line, draw a horizontal line from that point, and the value where this line intersects with the y-axis will be the distance from home after 12 hours.

The graph is kinda hard to read because the line is really steep, the green line is the equation y = 40*x

the red line is a line at x = 12

The black dashed line is the horizontal line that intersects with the y-axis.

In the graph, you can see that the dashed line intersects the y-axis at around y = 475.

Then a good estimate is that the distance after 12 hours is 475 (miles).

Now, we can compare this with the direct calculation, just replace x by 12 in the given line:

y = 40*12 = 480.

So our estimation is really accurate.