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3 years ago

Find the radius of the button. A circular button with a diameter of 5 centimeters.

Mathematics

1 answer:

Margarita [4]3 years ago

4 0

Answer:

r = 2.5 cm

Step-by-step explanation:

The radius is 1/2 of the diameter

r = 1/2 (d)

r = 1/2 (5)

r = 2.5 cm

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1.What is the slope of (0,2) and (-8,-8). What is the slope of (-8,-5) and (8,15)

ss7ja [257]

Answer:

Slope of (0,2) and (-8,-8): 5/4

Slope of (-8,-5) and (8,15): 5/4

Both slopes are 5/4

m = 5/4

Step-by-step explanation:

To find the slope:

1. Use the formula $m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

2. Assign point 1 and point 2

3. State (x₁ , y₁) and (x₂, y₂)

4. Substitute x₁ , y₁, x₂, and y₂ into the formula

5. Solve

Slope of (0,2) and (-8,-8):

Point 1: (0,2) x₁ = 0 y₁ = 2

Point 2: (-8,-8) x₂ = -8 y₂ = -8

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Formula for slope

$m = \frac{-8-2}{-8-0}$ Substituted points

$m = \frac{-10}{-8}$ Simplified the subtraction then the negatives

$m = \frac{10}{8}$ Reduce fraction by dividing top and bottom by 2

$m = \frac{5}{4}$ First slope

Slope of (-8,-5) and (8,15):

Point 1: (-8,-5) x₁ = -8 y₁ = -5

Point 2: (8,15) x₂ = 8 y₂ = 15

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Formula for slope

$m = \frac{15-(-5)}{8-(-8)}$ Substituted points

$m = \frac{15+5}{8+8}$ Simplified the subtraction into addition

$m = \frac{20}{16}$ Reduce fraction (divide top and bottom by 4)

$m = \frac{5}{4}$ Second slope

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3 years ago

if 5 billion pennies are minted each year, how long would it take to mint the pennies needed to stack to the sun? plsss show all

dimulka [17.4K]

98 years.
the sun is 432,690 away and a penny is 1.52 mm in thickness
and 1.52 x 5 billion is 7,600,000,000 mm which is 4722.4 miles a year

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2 years ago

Compare the graphs of y = |x + 2| and y = -|x + 1|. Which statement is true? a.The value of coefficient a is +1 in both equation

baherus [9]

C.Their vertices lie on the x-axis.

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3 years ago

Read 2 more answers

The Palue of the digit in the hundredths place is

Harman [31]

Answer:The value of the digit in the hundredths place is 10 times as great as the value of the digit in the tenths place.

Explained: The model shows that your number is 0.11

We have to find what we can multiply to become the 1 in the tenths place. Since they are the same number but in different places, we just multiply it by 10 to change the value.

So, if you multiply 10 by the 1 in the hundredths place, it will get you to the 1 in the tenths place.

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3 years ago

Each figure shows a triangle with one of its angle bisectors. 12) 22 - 38°. Find mZTRS.

jarptica [38.1K]

Answer:

76 degrees

Step-by-step explanation:

this special line is an angle bisected.

that means it splits the angle at its starting point in 2 halves. as these names indicate, both parts are of equal size (half of the general angle).

we know one part (2) of this split angle : 38 degrees.

the other part (1) had to be equally sized : 38 degrees.

so, the total angle at point R is the sum of both split angles:

TRS = 38+38 = 76 degrees.

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3 years ago