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andriy [413]
3 years ago
10

The area of a rectangular wall of a barn is 48 square feet. Its length is 44 feet longer than twice its width.

Mathematics
1 answer:
lukranit [14]3 years ago
4 0
2w^2 + 44w = 48
w^2 + 22w = 24
w^2 +22w - 24 = 0
w = (-11+sqrt(145)) = 1.0416

 The length is about 2w+44 = (46.0832)
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What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?
vodka [1.7K]
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is V=Bh, the volume of a pyramid/cone is V=\frac{1}3Bh.

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is A=\pi r^2 where r is the radius.
A=\pi (4)^2=\pi (4\times4)=16\pi=B

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

V=\frac{1}3\times16\pi \times9

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

V\approx\frac{1}3\times50.24\times9

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

V\approx3\times50.24

\boxed{V\approx150.72\ cm^3}
8 0
3 years ago
Read 2 more answers
HELP I NEED THIS ANSWERED!!!!!!! MY MOM WILL KILL ME​
Damm [24]

Answer: i think it's 16

8 0
3 years ago
Is rolling an even number on a number cube an outcome or an event? Explain
natita [175]
It's an outcome because by definition an outcome is a result of an event The even for instance would be rolling the number cube
4 0
3 years ago
If there are 48 boys and 64 girls and the teachers decided to put them each in in equal rows only boys or girls will be in each
german

Answer: 16

Step-by-step explanation:

The question seeks to know the largest number of people that can sit in each row.

To answer this, find the Highest Common Factor of the numbers 48 and 64.

Factors of 48 ⇒ 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

Factors of 64 ⇒ 1, 2, 4, 8, 16, 32 and 64

Because the teacher wants the rows to be equal with either only boys or only girls sitting in them, the highest number of people that can sit in a row will be 16.

There will be 7 rows in total.

Boys ⇒ 48/ 16 = 3 rows

Girls ⇒ 64/16 = 4 rows

5 0
3 years ago
Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2
Finger [1]

Answer:

\frac{y}{x^2}=\sin x+\pi

Step-by-step explanation:

Consider linear differential equation \frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)

It's solution is of form y\,I.F=\int I.F\,q(x)\,dx where I.F is integrating factor given by I.F=e^{\int p(x)\,dx}.

Given: \frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x

We can write this equation as \frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x

On comparing this equation with \frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x), we get p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x

I.F = e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}      { formula used: \ln a^b=b\ln a }

we get solution as follows:

\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C

{ formula used: \int \cos x\,dx=\sin x }

Applying condition:y(\pi)=\pi^2

\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C

So, we get solution as :

\frac{y}{x^2}=\sin x+\pi

4 0
4 years ago
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