A dartboard shaped like a regular octagon has an apothem of 15 inches. The smaller octagon, which is also regular, has an apothem of 8 inches. What is the probability of a randomly thrown dart landing within the shaded region, given that the dart lands inside the larger octagon? Round the answer to the nearest hundredth. (Hint: An apothem is the perpendicular distance from the center of a regular polygon to its side.) A. 0.14 B. 0.15 C. 0.27 D. 0.28

Answers

Answer 1
Answer: Assuming that the person throwing the dart is not aiming for any particular part of the dartboard and that all darts thrown at the board don't miss the board, then we can make use of the area to get the probability
So,
P = A1 / (A1 + A2)
The formula for the area of regular octagon is
A = (1/2) (a) (8) (2a tan 180/8)
A = 8 a² tan 180/8
Where a is the apothem. Substituting, the answer would be
C.
0.27
Answer 2
Answer:

Answer:

C.

.27

Step-by-step explanation:

e2020


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calculate the volume of a cylinder whose height is (2x-5) inches and whose base has a radius of (x-5) inches round your answer to the nearest tenth of a cubic inch

Answers

v=(1/3)hpir^2
aprox pi to 3.14 fo this problem
v=(1/3)(2x-5)(3.14)(x-5)^2
v=(1/3)(2x-5)(3.14)(x^2-10x+25)
v=(1/3)(3.14)(2x^3-25x^2+100x-125)
v=(1/3)(6.28x^(3)-78.5x^(2)+314x-392.5)
v=(6.28x^(3)-78.5x^(2)+314x-392.5)/(3)
and since we don't know what x,height, or radius or diameter or surface area or anything about the cylinder, we can't solve

A small bar of gold measures 40mm by 25mm by 2mm. One cubic millimeter of gold weights about 0.0005 ounces. Find the volume in cubic millimeter and the weight in ounces of this small bar of gold?Hank has cards that are 8 inches by 4 inches. A stack of these cards fits inside the box shown and used up 32 cubic inches of volume . How tall is the stack of card? What percent of the box's volume is taken up by the cards?

A typical stone on the lowest level of the great pyramid in Egypt was a rectangular prism 5 feet long by 5 feet 5 feet high by 6 feet deep and weighted 15 tons. What was the volume of the average stone? How much did one cubic foot of this stone weight?

Answers

The correct answer for the question that is being presented above is this one: "The volume of the average stone is this one: v = 40mm * 25mm * 2mm = 2000 mm^3 ; The weight of the one cubic foot of the stone is: 2000 mm^3 * .0005oz/1mm^3 = 1oz

SHOW WORK AND YOU WILL GET A BRAINLIEST!Given a monthly income of $1,500, how do you determine the yearly salary this person will earn?
Question 3 options:


a.1,500 x 12


b.1,500 + 12


c.1,500 - 12


d.1,500 / 12

Answers

Answer:

a.

Step-by-step explanation:

if they make 1,500 a month then you would multiply it by 12, because there are 12 months.

Answer:

A. $1.500 × 12

Step-by-step explanation:

Since there are 12 months in a year, we need to multiply $1,500 by 12. To make this easy, I'll show the progression from month to month.

Multiplying is simply adding the same number a given number of times, in this case, 12. Here is a visual representation of multiplication.

1st month $1,500

add $1.500, result is same as $1,500 x 2

2nd month $3,000

add $1.500, result is same as $1,500 x 3

3rd month $4,500

add $1.500, result is same as $1,500 x 4

4th month $6,000

add $1.500, result is same as $1,500 x 5

5th month $7,500

add $1.500, result is same as $1,500 x 6

6th month $9,000

add $1.500, result is same as $1,500 x 7

7th month $10,500

add $1.500, result is same as $1,500 x 8

8th month $12,000

add $1.500, result is same as $1,500 x 9

9th month $13,500

add $1.500, result is same as $1,500 x 10

10th month $15,000

add $1.500, result is same as $1,500 x 11

11th month $16,500

add $1.500, result is same as $1,500 x 12

12th month $18,000

I'm always happy to help :)

How do you write a decimal as a percent

Answers


Take the decimal, and move the decimal point two places that way  ===> .

if u have .456 u move the decimal back two spaces so it becomes 45.6%

The cross products of a proportion are never equal.
True or false?

Answers

Answer:

False

Hope this helps

What is the area of the trapezoid with height 10 units?

Answers

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You will need the equation:

Area = (a+b)/2 x h

Substitute the values in:

Area = (5 + 29)/2 x 10

You will get your answer as:

Area = 170

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。☆✼★ ━━━━━━━━━━━━━━  ☾

Equation: (a+b)/2+h

(5 + 29)/2 x 10
Area: 170