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2 years ago

Find the area of a circle with a diameter of 6 feet. Find both the exact area and the area rounded to the nearest

Mathematics

2 answers:

Ostrovityanka [42]2 years ago

6 0

Answer is =28.27433ft²

Step-by-step explanation:

A≈28.27ft²(Answer)

Diameter

Using the formulas:

A=πr2

d=2r

Solving for A

A=1

4πd2=1

4·π·62≈28.27433ft²

DedPeter [7]2 years ago

3 0

To answer this question we need to use a basic formula to find the area of a circle which is:
pii*radius*radius

Steps:
1. Find the radius

Divide 6 (diameter) by 2 since 2 radius makes up a diameter, so you would get 3 has the radius.

2. Substitute the values

3.14 * 3*3
Which equals 28.26.

Answer:
Exact area—28.26 ft (squared)

Rounded to the nearest tenth—28.3 ft (squared)

Hope this helps!!

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Purple flower color is dominant to white flower color. If pure-breeding purple flowering plants are crossed with pure-breeding w

Kruka [31]

Answer:

The phenotypic ratio of the offspring will be 100% of purple flowers.

Step-by-step explanation:

Mendel's first law states that if two pure lines are crossed for a given character, the descendants of the first generation will all be equal to each other, phenotypically and genotypically, and phenotypically equal to one of the parents (of dominant genotype).

The Punnett square is a square diagram that is used to predict the genotypes of a particular cross or breeding experiment.

We represent the possibilities of hybridization using a Punnett square in the attached picture.

Uppercase letters represent dominant alleles and lowercase letters represent recessive alleles.

Homozygous individuals have the same pair of alleles. (AA, aa)

We can verify that all offspring have a dominant allele, therefore all offspring will have purple flowers.

7 0

3 years ago

There are n machines in a factory, each of them has defective rate of 0.01. Some maintainers are hired to help machines working.

frosja888 [35]

Answer:

a) 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b) 1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c) ∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

Step-by-step explanation:

Given that;

if n ⇒ ∞

p ⇒ 0

⇒ np = Constant = λ, we can apply poisson approximation

⇒ Here 'p' is small ( p=0.01)

⇒ if (n=large) we can approximate it as prior distribution

⇒ let the number of defective items be d

so p(d) = ((e^-λ) × λ) / d!

NOW

Let there be x number of repairs, So they will repair 20x machines on time. So if the number of defective machine is greater than 20x they can not repair it on time.

λ[n0.01]

p[ d > 20x ] = 1 - [ d ≤ 20x ]

= 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

Similarly in this case if number of machines d > 80x/3;

Then it can not be repaired in time

p[ d > 80x/3 ]

1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

n = 300, lets do it for first case i.e;

p [ d > 20x } ≤ 0.01

1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.01

⇒ ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.99

⇒ ∑²⁰ˣ_k=0 (λ^k)/k! = 0.99e^λ

∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

8 0

2 years ago

Teresa is maintaining a campfire. she has kept the fire steadily burning 4 hours with 6 logs. She wants to know how many logs sh

erica [24]

D. X/4=18/6

Step-by-step explanation:

Let x be the number of logs=18 hours

6 logs=4 hours

X*4=18*6

4x=108

x=27 logs

so therefore 27 logs are needed to keep the fire burning for 18 hours

5 0

2 years ago

Read 2 more answers

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murzikaleks [220]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the length of segment AB? (4 points)

Sveta_85 [38]

Answer:

10 units

Step-by-step explanation:

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3 0

2 years ago