What can you conclude about the tangent lines and the diameter of a circle?

Dvinal [7]

Larger negative numbers are less than, if you picture a number line.

<.......-83 ............-38........0........+38..........>

-83 < -38

The canyon is deeper or has a lower elevation than the scuba diving location.

5 0

3 years ago

Find the four rational numbers and irrational numbers between 2/5 and 5/6

Savatey [412]

The four?

Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.

The average will be between the numbers:

$\frac 1 2 (\frac 2 5 + \frac 5 6) = \dfrac{37}{60}$

That's a lot of work to get a number in between. We can just see

$\frac 1 2$
is between the two numbers.

The mediant, or freshman addition, will always be in between:

$\dfrac{2 + 5}{5 + 6} = \dfrac{7}{11}$

2/5=.4 and 5/6 is about .83, so

$.6 = \frac{6}{10}$

is in between as is .7, .41, .530940394 and as many rationals as we care to generate.

To get irrationals we could just add a teeny irrational to the ones we just generated, like $\frac{6}{10} + \frac{\pi}{100}$

We could just change that denominator a bit and get as many as we like.

But let's get some square roots. The geometric mean will be between

$\sqrt{ \dfrac 2 5 \cdot \dfrac 5 6 } = \dfrac{1}{\sqrt{3}}
$

That's the tangent from one of trig's biggest cliches, but I digress. It's in between.

While we're on trig cliches,

$\dfrac{1}{\sqrt{2}}$

is in between as well.

Keeping with the trig theme, also in between are

$\dfrac{\pi} 6$

and

$\dfrac{\pi}{4}$

the angles associated with the some of the above trig function values.

We could obviously go on as long as we cared to.

7 0

3 years ago

What is the best estimate of 687 × 391? 280,000 210,000 240,000 180,000

ra1l [238]

Answer:

Step-by-step explanation:

Estimating a sum by rounding to get the best estimate is the goal of this lesson. Notice that we try to estimate. We don't need to have an exact answer!

Notice that for numbers with two digits, there can only be one estimate because you can only round to the tens place.

Estimate the following sums: 36 + 21, 74 + 15, and 85 + 24

36 + 21 = 40 + 20 = 60

74 + 15 = 70 + 20 = 90

7 0

2 years ago

Read 2 more answers

Please answer question correctly 30 POINTS!

Svet_ta [14]

Answer: 3rd option

Step-by-step explanation: The answer would be the third option. Let's go through each one and explain why it's correct or incorrect. First of all, our function is y = x - 3 so we can plug numbers into our X and Y. If we follow the function y = x - 3, we have 8 = 10 - 3 which is incorrect for the first one so that can't be it. For the nest one, we have 13 = 10 - 3 which also does not make sense. For the third one, we have 7 = 10 - 3 which is correct. And the last one, we have 3 = 10 - 2 which is wrong. Therefore, the third option is the answer.

5 0

3 years ago

The square root 2..25 is _____.

nata0808 [166]

Answer:

Hi there!

Your answer is:

B. 1.5

Step-by-step explanation:

The square root of 2.25 = 1.5

Check your work!

1.5×1.5 = 2.25!!✓

Hope this helps!

7 0

3 years ago