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frez [133]
2 years ago
8

A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.25 mi long. You walk acro

ss the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk? Round your answer to the nearest hundredth. Use 3.14 for π.
Your friend walks about
miles farther than you.
Mathematics
1 answer:
Valentin [98]2 years ago
7 0

The distance further the friend walked is 0.41 miles.

<h3>How much farther did the friend walk?</h3>

The distance the friend walked can be determined by calculating the circumference of a semicircle.

Circumference of a semicircle = πr + 2r

r = 0.25 / 2 = 0.125mi

3.14 x 0.125 + 0.25 = 0.66 mi

Difference in the distance = 0.66 - 0.25 = 0.41 miles

To learn more about how to determine the circumference, please check: brainly.com/question/14351152

##SPJ1

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The two-way table below describes the quality of sweatshirts and T-shirts screen printed at a local store.
zhuklara [117]

Answer:

There is an association because the relative frequencies by row are different.

Step-by-step explanation:

The relative frequencies by row are:

90 perfect t-shirts out of 90+6=96 t-shirts is:

90/96 = 0.9375

6 flawed t-shirts out of 96 t-shirts is:

6/96 = 0.0625

40 perfect sweatshirts out of 40+10=50 sweatshirts is:

40/50 = 0.8

10 flawed sweatshirts out of 50 sweatshirts is:

10/50 = 0.2

The relative frequencies by row are different; this means there is an association.

4 0
3 years ago
Read 2 more answers
Write an equation of the line with the given characteristics (show all work)
Sedbober [7]

Answer:

1. y = - 4 x + 5

2.  x = -8

Step-by-step explanation:

1.  (-1,9) (1,1)

y = mx + b

m = (y-y') / (x-x') = (1-9) / (1-(-1)) = -8 / 2 = - 4

b = y - mx = 9 - (-4) x (-1) = 5

equation: y = - 4 x + 5

check: (1,1)   y=1 = (-4) x 1 + 5 = 1

2. Vertical line through (-8,6) is a line perpendicular to x axis

    x = -8

4 0
3 years ago
WILL MARK BRAINLIEST
Nutka1998 [239]

Answer:

a² + b² = 68

a3 + b3 = 520

Step-by-step explanation:

Given :

a + b = 10 (1)

ab = 16 (2)

A. Find a² + b²

(a + b)² = a² + 2ab + b² (3)

Substitutite the values of (1) and (2) into (3)

(10)² = a² + 2(16) + b²

100 = a² + 32 + b²

Subtract 32 from both sides

100 - 32 = a² + b²

a² + b² = 68

B. a^3 + b^3

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

(10)^3 = a^3 + b^3 + 3*16(10)

1000 = a^3 + b^3 + 480

a^3 + b^3 = 1000 - 480

a3 + b3 = 520

5 0
3 years ago
Ex) A nursery plants a new tree and attaches a guy wire to help support the tree
o-na [289]

Answer:

d =   5,35 ft

Step-by-step explanation: See annex

Figure in  annex is clear,  

sin ∠42⁰  = d / 8

And

sin ∠42⁰   =  0.669

d/8   =  0,669

d  =  0,669*8  

d =   5,35 ft

8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%287%20-%208%29%20%5Ctimes%202%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(7 - 8) \times 2
Diano4ka-milaya [45]
Answer: -4
Work: 7-8 = -1 x 4
7 0
3 years ago
Read 2 more answers
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