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Natalija [7]
3 years ago
8

if the radius of the circular region is 5 yards what was the total length of the border to the nearest tenth of a yard

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer: 31.4

Step-by-step explanation:

The circumference formula is 2πr

In this case, the r is equal to 5

5×2 is 10

10π

Plug that into a calculator

31.4

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Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in
Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

0.045+0.32+0.4\\\\=0.765\ meters.

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0
3 years ago
HELP!!! PLEASE 50 POINTS!!!!!!!!!
natka813 [3]

Answer:

d. (5,-2)

Step-by-step explanation:

On the original segment (black endpoints), the (red) point is the most accurate to being 2/3 the distance from endpoint (-3,8)

3 0
2 years ago
For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans. Three times as many stu
Katyanochek1 [597]

Answer: 33 students wore blue jeans .

Step-by-step explanation:

Let x be the number of black pants.

Given : For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans.

Three times as many students wore black pants as blue jeans.

i.e. Number of blue pants = 4x

If there are forty-four students in the choir, then we have

x+3x=44\\\\\Rightarrow\ 4x=44

Divide both sides by 4 , we get

x=11

Thus , the number of black pants = 11

Then , the number of blue pants = 3\times11=33

Therefore, 33 students wore blue jeans .

6 0
3 years ago
Variation equation and determine the quantity indicated.
mr_godi [17]

Answer:

Step-by-step explanation:

Direct variation has the form y=kx, given k=7 and x=20

y=7(20)=140

8 0
3 years ago
*In ∆ABC, on the extension of the side BC , draw a line segment CD ≅ CA . Draw the segment AD . The line segment CE is the angle
Leya [2.2K]

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Step-by-step explanation:

In ∆ABC

  • On the extension of the side BC , draw a line segment CD ≅ CA
  • Draw the segment AD
  • The line segment CE is the angle bisector of ∠ACB
  • The line segment CF is the median towards AD in ∆ ACD

We want to prove that CF ⊥ CE

Look to the attached figure

In Δ ABC

∵ CE is the bisector of angle ACB

∴ ∠ACE ≅ ∠BCE

In Δ ACD

∵ CA = CD

∴ Δ ACD is an isosceles triangle

∵ AD is the median towards AD

- In any isosceles triangle the median from a vertex to its opposite

  side bisects this vertex

∴ AD bisects ∠ACD

∴ ∠ACF ≅ ∠DCF

∵ BCD is a straight segment

∵ CE , CA , CF are drawn from point C

∴ m∠BCE + m∠ACE + m∠ACF + m∠DCF = 180°

∵ m∠ACE ≅ m∠BCE

∵ m∠ACF ≅ m∠DCF

- Replace m∠BCE by m∠ACE and m∠DCF by m∠ACF

∴ m∠ACE + m∠ACE + m∠ACF + m∠ACF = 180°

∴ 2 m∠ACE + 2 m∠ACF = 180°

- Divide all terms by 2

∴ m∠ACE + m∠ACF = 90°

∴ EC ⊥ CF

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Learn more:

You can learn more about perpendicular lines in brainly.com/question/11223427

#LearnwithBrainly

7 0
3 years ago
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