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3 years ago

What is the circumference of a circle with a radius of 7 feet? 42 3.5 28 14

Mathematics

1 answer:

lubasha [3.4K]3 years ago

8 0

Answer:

44 feet

Step-by-step explanation:

$C = 2\pi \: r= 2 \times \frac{22}{7} \times 7 \\ = 2 \times 22 \\ = 44 \: feet$

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Can anyone help me solve this.I need proper equation..Thanks

artcher [175]

Answer:

y = 9 $\sqrt{2}$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{9}{y}$

Multiply both sides by y

y × sin45° = 9, that is

y × $\frac{1}{\sqrt{2} }$ = 9

Multiply both sides by $\sqrt{2}$

y = 9 $\sqrt{2}$

3 0

3 years ago

Read 2 more answers

If y varies inversely as x and y=16 when x=4, find y when x=3

iren [92.7K]

Answer:

21.33 to nearest hundredth

Step-by-step explanation:

Inverse Variation is y = k / x where k is a constant.

Plug in the given values to find k:-

16 = k/4

k = 4*16 = 64 so the equation of variation is y = 64/x.

So when x = 3, y = 64/3 = = 21.33 to nearest hundredth.

6 0

3 years ago

4. Celina babysat for 5 hours and earned $27. what's her pay per hour?

Elenna [48]

Celina earns $5.4 per hour.

6 0

2 years ago

Solve the following system: y=1 y=-6x-5

Mandarinka [93]

Answer:

x = -1

y = 1

Step-by-step explanation:

Since it gives you "y", plug in the number given into the equation:

y = -6x - 5

1 = -6x - 5

Then, add 5 to both sides:

1 = -6x - 5

+5 + 5

________

6 = -6x

Divide both sides by -6:

6 = -6x

-1 = x

So now you have, x = -1 and y = 1

4 0

3 years ago

Read 2 more answers

If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

2 years ago