A wheel has a circumference of 7 5/6 feet. How many times does it turn in 423 feet.

Answers

Answer 1

Answer: the length of one full turn is the same as it's circumference.

circumference x turns = total length

to find the number of turns, you have to divide total length by it's circumference.

423 / (7 5/6) = 423 / (47/6)
= 54

Answer 2

Answer: 75/6=12.5
and it will rotate 33.84 times to complete 423 ft

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What is the areaof a circle having a given diameter. d=16 cm

Answers

Area = $\pi r^2$ so if the diameter is 16, radius (r) = 8

3.14 * 8^2 = 3.14*64 = 200.96 is the approximate area

If you're looking for the answer in terms of pi, 64pi is the answer.

A box of candy weighs 340.23 grams and costs $18.99. if 1 gram is approximately 0.03527 ounces, what is the unit price per ounce of the candy?

Answers

340.23 / 0.03527 =9,646.44
$18.99 / 9,646.44 = .0019686
340.23 / 18.99 = 17.91
17.91 x .0019686 = .0352576

I need to solve this equation !!!

Answers

$2 x^(2) + 5x$

x ( 2x + 5)

A coin is tossed 8 times. Which of the following represents the probability of the coin landing on heads all 8 times?

Answers

Answer:

$\large\boxed{\large\boxed{Probability=1/256\approx 0.0039}}$

Explanation:

Since, there are two possible outcomes for every toss (head or tail), the sample space for a coin tossed 8 times is 2×2×2×2×2×2×2×2 = 2⁸ = 256.

Landing on heads all 8 times is just one of the possible outcomes: HHHHHHHH ⇒ 1.

Hence, the probability is calculated from its own definition:

Probability = number of favorable outcomes / number of possible outcomes

$Probability=1/256\approx 0.0039\text{ }\leftarrow answer$

Answer:

1/256

Step-by-step explanation:

Jeremy is 29 years old and in good health. What is the annual premium for the cheapest policy having a $90,000 face value that Jeremy can buy?For age 29, a male whole life if 18.25, 20-payment life is 31.39, and 20-year endowment is 39.69.

a.

$1,825

b.

$1,294

c.

$1,929

d.

$1,643

i just did it and its D

Answers

1643 is the annual premium for the cheapest policy Jeremy can buy.

What is Annual Premium?

The amount of money a business or an individual pays for a policy annually is called the annual premium.

Face value is the amount of benefits in the form of money or other beneficiaries a policy holder receives at maturity.

Age of Jeremy = 29

Face value of the policy = $90,000

Estimated annual premium = (Face value ÷ 1000) × rate

Annual premium payable for a man whole life = (90,000 ÷ 1000) × 18.25

= 90 × 18.25

= 1642.5 ≅ 1643

Hence, Annual premium for the cheapest policy having a 90,000 face value that Jeremy can buy is $1643.

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Answer:

Step-by-step explanation:

Andy has two rectangular gardens. His smaller garden is 8 feet long and 4 feet wide. The larger garden is 12 feet long and six feet wide. Which statement correctly describes Andy gardens?a/The gardens are only congruent.
b. The gardens are similar and congruent.
c. The gardens are congruent, but not similar.
d. The gardens are similar, but not congruent.

Answers

The garden are similar, but not congruent option (D) is correct after applying the concept of similarity.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

It is given that:

Andy has two rectangular gardens. His smaller garden is 8 feet long and 4 feet wide.

The larger garden is 12 feet long and six feet wide.

As the corresponding dimensions are not same but have in equal ratio or proportions.

Thus, the garden are similar, but not congruent option (D) is correct after applying the concept of the similarity.

Learn more about the congruent triangle here:

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The garden are similar, but not congruent.

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