A dartboard consists of two concentric circles. The probability of hitting the inner circle is64%. If the outer circle has a diameter of 20 inches, what is the radius of the inner circle?

2 inches
4 inches
8 inches
16 inch

Answers

Answer 1

Answer: Given:
Diameter of outer circle = 20 inches.

We need to find the Area of the outer circle to get the radius of the inner circle.

Area = πr²

Outer circle Area = 3.14 * (10in)² = 314 in²

314 in² * 64% probability = 200.96 in² Area of the inner circle.

200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r

radius of inner circle is 8 inches.

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Justin ordered 6 pizzas. Each pizza costs $10.95. How much will he need to pay?

Answers

Answer:

$65.7

Step-by-step explanation:

Eachpizza costs $10.95.

So to get the amount of 6 pizzas, it has to be multiplied by the amount of each pizza.

That is, 6 × $10.95 =$65.7

=$65.7 is the amount he needs to pay.

Answer: 65.7

Step-by-step explanation: you do 6 x 10.95 = 65.7

Please explain as best as you can :)

Answers

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept → (0, b).

Read two points from the graph.

y-intercept = (0, 2) → b = 2

x-intercept = (-5, 0)

The formula of a slope:

$m=(y_2-y_1)/(x_2-x_1)$

Substitute:

$m=(0-2)/(-5-0)=(-2)/(-5)=(2)/(5)$

Therefore your answer is

$\boxed{C.\ y=(2)/(5)x+2}$

Answer:

The best answer is C. y = 2/5x + 2

Step-by-step explanation:

You would start at point 2 then rise 2 units then run 5 units. (i got something else) but i went to desmos to make sure and it matched

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. It takes each of her friends 75\%75%75, percent longer to prepare a bag. How many hours will it take Ashley and 444 of her friends to prepare 157515751575 bags of samples?

Answers

Answer:

3.5 hours

Step-by-step explanation:

Khan Academy

I answer it and got it correct

I will rewrite the question for better understanding:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer:

5.3 hours

Explanation:

1) Time it takes Ashley to preprate one bag:

2/3 min

2) Time it takes each friend of Ashley: 75% more than 2/3 min

75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min

2/3 min + 1/2 min = 7/6 min

3) Time it takes Ashley and the 4 friends working along to prepare one bag:

Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:

Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min

Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min

Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

4) Time of prepare 1575 bags of samples:

time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

5) Convert minutes to hours:

356.56 min × 1 hour / 60 min = 5.3 hours

What is the sum of the interior angle measures of a regular octagon

Answers

The requried sum of the interior angle measures of a regular octagon is 1080°.

What is a polygon?

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,

The Sum of interior angles of a polygon with n sides is given as,
= (n-2) × 180°

Since an octagon has 8 sides,
So put n = 8

The Sum of interior angles of a octagon = (8-2) × 180°
= 6 × 180° = 1080°

Thus, the requried sum of the interior angle measures of a regular octagon is 1080°.

Learn more about polygon here:

brainly.com/question/24464711
#SPJ2

You would first need to find the exterior angle of the octagon first in order to find the interior angle of the octagon. Since all the exterior angles of any polygon is 360, you would divide 8 from 360 which is 45
Exterior Angle=45
Then, you would subtract 45 from 180, since the exterior angle + the interior angle is equal to 180 degrees.
180-45=135
Exterior Angle=135

The diameter of a circle is 23 inches and the circle has two chords of length 14 inches what is the distance from each chord to the center of the circle

Answers

Answer:

9.12 + 9.12 = 18.24 inches

Step-by-step explanation:

Diameter = 23 inches (given)

Radius = 11.5 inches

2 Chords of length = 14 inches ( You didn't specify if the 14 inches is for both chords or for a single cord. I'll assume it's for two cords 14 and 14inches apart.

To clearly solve this, we'll make some mild assumptions.

Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"

Therefore:

x^2 + 7^2 = 11.5 ^ 2

x^2 + 49 = 132.25

x^2 = 132.25 - 49

x^2 = 83.25

x = √ 83.25

x = 9.12 inches

Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)

y^2 + 7^2 = 11.5 ^ 2

y^2 + 49 = 132.25

y^2 = 132.25 - 49

y^2 = 83.25

y = √ 83.25

y = 9.12 inches

Therefore, the distance will be :

9.12 + 9.12 = 18.24 inches

Have fun!

Final answer:

To find the distance from each chord to the center of the circle, use the Pythagorean theorem to calculate the height of the isosceles triangle formed by the chord and two radii.

Explanation:

To find the distance from each chord to the center of the circle, we first need to find the radius of the circle. Since the diameter is given as 23 inches, the radius would be half of that, which is 11.5 inches. Now, let's consider one of the chords. When a chord is drawn in a circle, it forms an isosceles triangle with the center and two radii. The distance from the chord to the center of the circle is the height of this isosceles triangle. Using the Pythagorean theorem, we can find the height:

d² = r² - (c/2)²

where d is the distance from the chord to the center, r is the radius, and c is the length of the chord.

Plugging in the values, we get:

d² = (11.5)² - (14/2)²

Simplifying this equation gives:

d² = 132.25 - 49

d² = 83.25

Taking the square root of both sides gives:

d ≈ √83.25 ≈ 9.12 inches

Learn more about Finding distances in a circle here:

brainly.com/question/29291696

#SPJ12

A person walks 12 m across a rooma. what is their horizontal component
b. what is their vertical component

Answers

since the floor of the room is horizontal, person will not change its vertical height which means that vertical component is 0.

that means horizontal component is 12 m.

a) 12
b) 0

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