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3 years ago

11

a person's rectangular dog pen for his dog must have an area of 300 square feet also the length must be 40 feet longer than the

width find the dimensions of the pen

1 answer:

Tema [17]3 years ago

4 0

The with should be 7.5 feet

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1. The formula for the volume of a cone is

Andre45 [30]

Answer:

$r=\sqrt{\frac{3V}{\pi\ h}}$

Step-by-step explanation:

The volume of cone is given by:

$V=\frac{1}{3}\pi\ r^2\ h$

where $r$ is the radius of the base and $h$ is the height of the cone.

We need to solve for $r$

we have $V=\frac{1}{3}\ \pi\ r^2\ h$

Multiplying both sides by 3 to remove $\frac{1}{3}$

⇒ $3\times V=3\times \frac{1}{3}\ \pi\ r^2\ h$

⇒ $3V=\pi\ r^2\ h$

dividing both sides by $\pi\ h$

⇒ $\frac{3V}{\pi\ h}=\frac{\pi r^2 h}{\pi\ h}$

⇒ $\frac{3V}{\pi\ h}=r^2$

Taking square root both sides:

⇒ $\sqrt{\frac{3V}{\pi\ h}}=\sqrt{r^2}$

⇒ $\sqrt{\frac{3V}{\pi\ h}}=r$

∴ $r=\sqrt{\frac{3V}{\pi\ h}}$

3 0

3 years ago

Read 2 more answers

Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of th

Sav [38]

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

5 0

3 years ago

Find principal of a loan at 11% for 5 years with $426.25 simple interest

Ahat [919]

Answer:

$P=775$

Step-by-step explanation:

The Simple Interest Equation is $A = P(1 + rt)$

where

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

t = Time Period involved in months or years

In this case, we do not know the values of the equation (A and P), but we know the amount of interest accrued

If we define our principal whit this formula, we are able to know the rest of the values:

$A-P= interest$

clearing

$A=interest+P$

replacing

$426.25 + P = P (1+(0.11(5))$

Solving

$426.25+P=1.55P$

$P-1.55P=-426.25$

$-0.55P=-426.65$

$P=\frac{-426.25}{-0.55}$

$P=775$

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3 years ago

My question is y = 4x + 1 and my options are<br>a. 4, 3 <br>b. 4,1<br>c. 1,4<br>d. 3,1

Akimi4 [234]

Answer:

B. 4,1

Step-by-step explanation:

7 0

3 years ago

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85:245 <br> Gente preciso da conta armada,pra agr pfv

goblinko [34]

Answer:

BOYBOYOBOYOBYOBYOYOBYOBYOBYOBYOBOBYOBYOBY

Step-by-step explanation:

4 0

3 years ago