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3 years ago

Find the circumference of the circle. R=6 ft please help

Mathematics

1 answer:

AURORKA [14]3 years ago

7 0

Answer:

Circumference = 37.7 ft

Area = 1131.1 ft^2

Step-by-step explanation:

Circumference = 2πr

= 2π(6)

= 12π

= 37.7 ft

Area = π $r^{2}$

= π $(6)^{2}$

= 36π

= 113.1 ft^2

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If the radius of a circle is increased by x, by what amount is the circumference of the circle increased? A) x. B) 2x. C) 2piex

soldi70 [24.7K]

Answer:

c) 2 pi x

Step-by-step explanation:

The circumference is based on the equations:

C = pi * d where d = diameter

We also know that the radius is half of the diameter as its the length of a line from the centre of the circle while the diameter is the length of two opposite points through the centre of the circle.

This tells us that d = 2r

So we can replace the equation for the circumference with:

C = pi * 2r

An increase of x to the radius would thus mean that the circumference is increased by 2(pi * x), as 2(pi * (r + x) could be used to find the new value of the circumference, which is the same as:

2(pi * r) + 2(pi * x)

So the answer is 2 pi x

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4 years ago

The average age of the starting lineup of an nba basketball team is 29 years. the ages of four of the five players are 25, 26, 2

Inga [223]

(25 + 26 + 29 + 32 + х) : 5 = 29
112 + х = 29 * 5
112 + х = 145
х = 145 - 112
х = 33 years - the age of the fifth player.

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3 years ago

Factor 12m^2n^2-8mn+1

Vika [28.1K]

12m²n² -8mn +1

[6mn-1]•[ 2mn-1]

[ 6mn•2mn + 6mn•-1 + -1•2mn +-1•-1]

= [ 12 m²n² -6mn -2mn +1]

= [ 12m²n2-8mn+1]

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6 0

3 years ago

Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba

Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

$A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}$

$\:A=2500\left(1+\frac{0.05}{6}\right)^{48}$

$A=2500\times 1.48935$ ∵ $\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935$

$A=\:3723.38$ $

Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

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3 years ago

(2,0) (4,5) write an equation that represents the line

Yuliya22 [10]

Answer:

the equation of the line in slope-intercept form would be y=5/2x-5

Step-by-step explanation:

hope this helped!! :D

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3 years ago