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RSB [31]
3 years ago
13

What is the approximate area of a circle with a radius of 11 m?

Mathematics
2 answers:
Katarina [22]3 years ago
8 0

Answer:

380.13

Step-by-step explanation:

area= (pi)x(r^2)

pi times r squared

Tamiku [17]3 years ago
4 0

Answer:

380 m^2 to the nearest whole number.

Step-by-step explanation:

That would be 3.14 * 11^2

= 380 .

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The table below shows the data for a random sample of fish that were collected from and later released into a lake:
Olin [163]

Answer:

244

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Blake is playing a racing game on his computer. The game tracks the locations of objects using and y coordinates (see graph belo
Anvisha [2.4K]
<h3>Answer: 2.2 units</h3>

============================================

Explanation:

I'll define these point labels

  • B = Blake's starting position
  • F = finish line
  • C = the third unmarked point of the triangle

The locations of the points are

  • B = (-8,1)
  • C = (-6,-3)
  • F = (4,-2)

Use the distance formula to find the distance from B to C

B = (x_1,y_1) = (-8,1) \text{ and } C = (x_2,y_2) = (-6,-3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (1-(-3))^2}\\\\d = \sqrt{(-8+6)^2 + (1+3)^2}\\\\d = \sqrt{(-2)^2 + (4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20} \ \text{ ... exact distance}\\\\d \approx 4.47214 \ \ \text{... approximate distance}\\\\

Segment BC is roughly 4.47214 units long.

Following similar steps, you should find that segment CF is approximately 10.04988 units long.

If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.

---------

Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.

Subtract this and the previous result we got

14.52202 - 12.36932 = 2.1527

That rounds to 2.2

This is the amount of distance he doesn't have to travel when he takes the shortcut.

In other words, the track is roughly 2.2 units shorter when taking the shortcut.

Side note: Replace "units" with whatever units you're working with (eg: feet or meters).

7 0
2 years ago
XYZ Software employed three different salespeople last year. Person 1
faltersainse [42]

Answer:

Total FUTA : $669.6

Step-by-step explanation:

Given the information

  • Person 1 earned $3900 in the first quarter  
  • Person 2 earned $20100 in the first quarter  
  • Person 3 earned $6900 in the first quarter

As we know, FUTA is short for Federal Unemployment Tax Act, and the FUTA tax rate is 6.2% applied to a maximum cumulative earnings of $7,000.

So in this situation, only person 1 and 2 must pay FUTA tax because ther earning are lower than $7,000.

  • Person 1: 3900 x 6.2% = $241.8
  • Person 3: 6,900 x 6.2% = $427.8

=> Total FUTA : $669.6

7 0
3 years ago
The length of a rectangle is x feet more than its width. The area of the rectangle is 5x + 25. What is the width of the rectangl
AVprozaik [17]

Answer:

w = l + \frac{25 - l^{2}}{l - 5}

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before we start the solving, we can make the following statements:

Area = l x w

Area = 5x + 25

therefore,

l x w = 5x + 25

Since the question states that the length is x more than the width, so we can make the following statement:

w = l + x

With this, we can substitute it to the first statement we made, l x w = 5x + 25,

l x (l + x) = 5x + 25

l^{2} + lx = 5x + 25

lx - 5x = 25 - l^{2}

x(l - 5) = 25 - l^{2}

x = \frac{25 - l^{2}}{l - 5}

From this, we can find w by substituting it in the statement we made earlier, w = l + x,

w = l + \frac{25 - l^{2}}{l - 5}

6 0
3 years ago
What is the linear diameter (in meters) of an object that has an angular diameter of 22
Mumz [18]

Answer: 0.15 m

Step-by-step explanation:

Using the small angle formula

D= kd/206265 where

k= 22 and d= 1400

D= 22 x 1400/206265

D=0.149 m

Hence the linear diameter is 0.15 m.

5 0
3 years ago
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