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2 years ago

What is the area of circle with a radius of 2.45 cm?

Mathematics

1 answer:

Ganezh [65]2 years ago

7 0

Answer:

A≈18.86cm² R= 2.45

Step-by-step explanation:

A= π r 2 = π 2.45 2 ≈ 18.85741cm²

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The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume o

ella [17]

So a circular pool will be in the shape of a cylinder. and the formula for finding the area of a cylinder is $2 \pi r^{2} +2 \pi rh$ . r=radius, h=height. If we put the numbers into the equation it is $2 \pi 14^{2} +2 \pi 14(4).$ .14 squared is 196 and 4*14= 56. So our equation is now $2 \pi (196)+2 \pi (56)$ . 2*pi=6.28318530718 but let's round that to 6.283. So now our equation is much simpler 6.283(196)+6.283(56). Just multiply them. 1231.504+351.858= <span>1583.362</span> is your final answer.

8 0

2 years ago

What the perimeter? Will give brainliest (no links)

OLEGan [10]

Just add them up 15+5+3+8

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2 years ago

Does the set {t, t Int} form a fundamental set of solutions for t^2y" -- ty' +y = 0?

Ivanshal [37]

Answer:

yes

Step-by-step explanation:

We are given that a Cauchy Euler's equation

$t^2y''-ty'+y=0$ where t is not equal to zero

We are given that two solutions of given Cauchy Euler's equation are t,t ln t

We have to find the solutions are independent or dependent.

To find the solutions are independent or dependent we use wronskain

$w(x)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}$

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.

Let $y_1=t,y_2=t ln t$

$y'_1=1,y'_2=lnt+1$

$w(x)=\begin{vmatrix}t&t lnt\\1&lnt+1\end{vmatrix}$

$w(x)=t(lnt+1)-tlnt=tlnt+t-tlnt=t$ where t is not equal to zero.

Hence,the wronskian is not equal to zero .Therefore, the set of solutions is independent.

Hence, the set {t , tln t} form a fundamental set of solutions for given equation.

6 0

2 years ago

I don’t get this question 12

tankabanditka [31]

Answer:

209.5 grams are protein

Step-by-step explanation:

Protein is 25 % or .25

We have 838 grams of peanut butter

25% of it is protein. Multiply the grams by the percent that is protein to determine how many grams are protein

grams protein = total grams times percent protein

=838*.25

= 209.5 g

6 0

2 years ago

Problem 9

lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at $\frac{1}{4}$ capacity, we can use the equation:

$\frac{1}{4} * 12 = \boxed{3}$

This shows $\frac{1}{4}$ of his tank's capacity ( $12$ ) is equal to $3$ gallons. This means he will stop for gas when $3$ gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

$\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}$

This is a simple proportion, and now we know he uses $2.5$ gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has $7$ gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

$\frac{7-3}{2.5} = 1.6$

The $7-3$ is because Leon doesn't stop when his tank is empty, he stops $3$ gallons earlier. We are dividing by $2.5$ because that is how much gas he uses per hour, meaning the result of this division ( $1.6$ ) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + $2$ hours of driving + the remaining $1.6$ hours = 3:36PM

( $1.6$ hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

8 0

1 year ago