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3 years ago

True or False: All circles are similar

Mathematics

2 answers:

Svetllana [295]3 years ago

8 0

True
<span>
every circle will end up the same no matter what size they are</span>

34kurt3 years ago

3 0

True because circles are all the same shape but not all the same size
Hope this helps!

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A water tank is in the shape of a right circular cylinder with a height of 20 feet and volume 320(3.14) cubic feet. What is the

nlexa [21]

Answer: 4

Step-by-step explanation:

Simply plug in each answer choice

320(pi)= 1005.309

pi x 4^2 x 20= 1005.309

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3 years ago

24 centimeters to inches (to the nearest tenth)

Nikitich [7]

9.44882 now round to the nearest tenth

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4 years ago

The GDP is $123.7 billion. The population is 4 million. Find the per capita GDP.

Dominik [7]

(123.7*10^9)/(4*10^6)=$30,925

i think thats correct

6 0

3 years ago

Read 2 more answers

PLEASE HELP I GIVE 100 POINTS!!

balandron [24]

9514 1404 393

Answer:

1. b. The common difference is 0.39

2. no good answer (Zach's method is exponential; Victoria's is linear)

Step-by-step explanation:

1. The differences in mileage are ...

24.39 -24 = 0.39

24.78 -24.39 = 0.39

25.17 -24.78 = 0.39

The common difference is 0.39.

____

2. Zach's monthly times are ...

10, 20, 40, 80

The differences are ...

10, 20, 40

The ratios are ...

20/10 = 40/20 = 80/40 = 2

Zach's times have a common ratio, so are exponential.

Victoria's monthly times are ...

35, 50, 65, 80

The differences are ...

15, 15, 15

Victoria's times have a common difference, so are linear.

The choices are ...

a. both exponential; common factor . . . . correct for Zach; not for Victoria

b. Zach's is linear (has equal factor) . . . incorrect

c. both exponential; common difference . . . incorrect

d. Victoria's is linear . . . . correct for Victoria

Choice D describes Victoria's method. Choice A is correct regarding Zach's method, but incorrect regarding Victoria's.

Choices B and C are not self-consistent, so are incorrect on their face.

There is no good choice.

4 0

3 years ago

Read 2 more answers

A cliff diver dives from 17m above the water. The diver’s height above the water, h(t) in metres after t seconds is modelled by

Schach [20]

Answer:

If you want to round to the nearest hundredths, the answer is 1.73 seconds.

Step-by-step explanation:

So we want to solve h(t)=5 for t because this will give us the time,t, that the diver was 5 m above the water.

$-4.9t^2+1.5t+17=5$

My goal here in solving this equation is to get it into $at^2+bt+c=0$ so I can use the quadratic formula to solve it.

The quadratic formula is $t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$ .

So let's begin that process here:

$-4.9t^2+1.5t+17=5$

Subtract 5 on both sides:

$-4.9t^2+1.5t+12=0$

So let's compare the following equations:

$-4.9t^2+1.5t+12=0$

$at^2+bt+c=0$ .

$a=-4.9$

$b=1.5$

$c=12$

Now we are ready to insert in the quadratic formula:

$t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$t=\frac{-1.5 \pm \sqrt{(1.5)^2-4(-4.9)(12)}}{2(-4.9)}$

I know this can look daunting when putting into a calculator.

But this is the process I used on those little calculators back in the day:

Put the thing inside the square root into your calculator first. I'm talking about the $(1.5)^2-4(-4.9)(12)$ .

This gives you: 237.45

Let's show what we have so far now:

$t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$t=\frac{-1.5 \pm \sqrt{(1.5)^2-4(-4.9)(12)}}{2(-4.9)}$

$t=\frac{-1.5 \pm \sqrt{237.45}}{2(-4.9)}$

I'm going to put the denominator, 2(-4.9), into my calculator now.

$t=\frac{-1.5 \pm \sqrt{237.45}}{-9.8}$

So this gives us two numbers to compute:

$t=\frac{-1.5 - \sqrt{237.45}}{-9.8} \text{ and } t=\frac{-1.5+\sqrt{237.45}}{-9.8}$

I'm actually going to type in -1.5-sqrt(237.45) into my calculator, as well as, -1.5+sqrt(237.45).

$t=\frac{-16.90941271}{-9.8} \text{ and } t=\frac{13.90941271}{-9.8}$

We are going to use the positive number only for our solution.

So we have the answer is whatever that first fraction is approximately:

$t=\frac{-16.90941271}{-9.8}=1.725450277$ .

The answer is approximately 1.73 seconds.

6 0

4 years ago