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3 years ago

Type exact answer in terms of PI

Mathematics

2 answers:

sergejj [24]3 years ago

6 0

The volume of a cylinder is

V = (1/3) π (radius)² (height) .

It doesn't matter whether it's straight, or leaning over like this one.

V = (1/3) π (4 m)² (6 m)

V = (1/3) π (16 m²) (6 m)

V = (1/3) π (96 m³)

==> V = 32 π m³

Rom4ik [11]3 years ago

5 0

Volume = 1/3 * pi * r^2*h
= 1/3 + pi * 4*2 * 6
= 8pi m^3

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8x-5y=15 <br>6x+4y=43<br>solve the system by any method

Sedbober [7]

Answer:

$x=\frac{275}{62}$ , $y=\frac{127}{31}$

Step-by-step explanation:

<h3>I will use the elimination method.</h3>

We want to make the X's the same:

$24x-15y=45$

$24x+16y=172$

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

$31y=127$

So:

$y=\frac{127}{31}$

Substitute y into either equation 1 or 2:

(I chose equation 1)

$8x-5(\frac{127}{31})=15$

$8x=5(\frac{127}{31}) + 15$

$x=\frac{5(\frac{127}{31})}{8}$

So:

$x=\frac{275}{62}$

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2 years ago

How many significant digits is in 70.00?

julia-pushkina [17]

Going by what I was taught in chemistry, there would only be 1.

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2 years ago

The miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean of 33.8 mpg and a standard d

EleoNora [17]

Answer:

The probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

Step-by-step explanation:

Let the random variable <em>X</em> represent the miles-per-gallon rating of passenger cars.

It is provided that $X\sim N(\mu=33.8,\ \sigma^{2}=3.5^{2})$ .

Compute the probability that a randomly selected passenger car gets more than 37.3 mpg as follows:

$P(X>37.3)=P(\frac{X-\mu}{\sigma}>\frac{37.3-33.8}{3.5})$

$=P(Z>1)\\\\=1-P(Z$

Thus, the probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

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2 years ago

If a university wants to maintain a 14:1 ratio between students and teachers, how many teachers would be needed to accommodate 8

zheka24 [161]

<span>So we want to know the number of teachers the university should have if the ratio of students to teachers is 14:1 and the number of students is 896. If x is the number of teachers: 14/1=896/x. Now we solve for x: Lets multiply both sides with x: x*(14/1)=896 and divide both sides by 14 and we get: x=896/14 and x=64. So the university should have 64 teachers.</span>

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2 years ago

Read 2 more answers

I'm confused on how to find x

azamat

Answer:

x = 2

Step-by-step explanation:

Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be $\sqrt2$ .

We can then solve for x using the Pythagorean theorem:

$\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2$

Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be $\sqrt2$ times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.

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2 years ago