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GaryK [48]
3 years ago
13

"Rebecca walks 100 feet in a straight line. She then turns 20 degrees to her left and walks another 100 feet, and then turns 20

degrees to her left again. She continues this pattern until she reaches the point where she started. How far did she walk
Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

1,800 ft

Step-by-step explanation:

Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).

The equation that describes the internal angle of a regular polygon is:

A = \frac{(n-2)*180}{n}

For A = 160 degrees:

160n=(n-2)*180\\(180-160)n=360\\n=18\ sides

If each side is 100 ft long, the total distance that Rebecca has walked is:

d = 18*100\\d=1,800\ ft

She walked 1,800 ft.

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What is the slope of a line through (-5, -10) and (-1, 5)
Vinil7 [7]

Answer:

m = 15/4

Step-by-step explanation:

slope (m) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-5 , -10)

(x₂ , y₂) = (-1 , 5)

Plug in the corresponding numbers to the corresponding variables:

m = (5 - (-10))/(-1 - (-5))

m = (5 + 10)/(-1 + 5)

m = (15)/(4)

m = 15/4 is your answer.

~

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3 years ago
Marco read that a honey bee can fly up to 2.548meyers per second. he rounded the number to 2.55. to witch place valuedid marcoro
Kay [80]
He rounded to the hundredths place.
4 0
3 years ago
Naomi receives a base weekly salary of $225 plus a commission of $50 for each cable service
Aleks [24]

Answer:

$40.50 will be taken out in taxes.

Step-by-step explanation:

First, solve for how much Naomi will receive in a paycheck:

$225 + $50(9)

$225 + $450

$675

Now, solve for 6% tax:

$675 × 0.06

$40.50

5 0
2 years ago
A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How
natita [175]

It would be 25 how I got that answer was I did 200 ÷ 8 and that gave me 25

7 0
3 years ago
Read 2 more answers
Please help me with those question please help with out number 1
alina1380 [7]

Answer:

1) For each value of x, a value of y is increased by 5.

x = 0, y = 5

x = 1, y = 10

x = 2, y = 15

x = 3, y = 20

------------------------------------------------------------------------------------------

2) For each two values of x, a value of y is increased by 10.

x = 0, y = -2

x = 2, y = 8

x = 4, y = 18

x = 6, y = 28

-------------------------------------------------------------------------------------------

3)

x = 0, y = 1

x = 1, y = \frac{7}{5}

x = 5, y = 3

x = 10, y = 5

-------------------------------------------------------------------------------------------------

4)

x = 0, y = 2

x = 1, y = 17

x = 2, y = 32

x = 5, y = 77

Step-by-step explanation:

This is as easy as replacing x for the actual value show on the table.

1)

y=5x+5

When x = 0, y = ?

y=5(0)+5\\y=0+5\\y=5

When x = 1, y = ?

y=5(1)+5\\y=5+5\\y=10

When x = 2, y = ?

y=5(2)+5\\y=10+5\\y=15

When x = 3, y = ?

y=5(3)+5\\y=15+5\\y=20

-------------------------------------------------------------------------------------------------------

2)

y=5x-2

When x = 0, y = ?

y=5(0)-2\\y=0-2\\y=-2

When x = 2, y = ?

y=5(2)-2\\y=10-2\\y=8

When x = 4, y = ?

y=5(4)-2\\y=20-2\\y=18

When x = 6, y = ?

y=5(6)-2\\y=30-2\\y=28

----------------------------------------------------------------------------------------------------

3)

y=\frac{2}{5}x +1

When x = 0, y = ?

y=\frac{2}{5}(0) +1

y=0 +1\\y=1

When x = 1, y = ?

y=\frac{2}{5}(1) +1\\y=\frac{2}{5} +1

y=\frac{2}{5}+1(\frac{5}{5})\\ y=\frac{2}{5}+\frac{5}{5}  \\y=\frac{7}{5}

When x = 5, y = ?

y=\frac{2}{5}(5) +1\\y=2+1\\y=3

When x = 10, y = ?

y=\frac{2}{5}(10) +1\\y=2(2) +1\\y=4+1\\y=5

-------------------------------------------------------------------------------------------------

4)

y=15x+2

When x = 0, y = ?

y=15(0)+2\\y=0+2\\y=2

When x = 1, y = ?

y=15(1)+2\\y=15+2\\y=17

When x = 2, y = ?

y=15(2)+2\\y=30+2\\y=32

When x = 5, y = ?

y=15(5)+2\\y=75+2\\y=77

4 0
3 years ago
Read 2 more answers
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