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3 years ago

What is an irrational number between 4 and 5 is it √12 or √20 or √34 or √80?

Mathematics

1 answer:

Andrei [34K]3 years ago

3 0

Answer:

$\sqrt{20}$

Step-by-step explanation:

the answer would be between $\sqrt{16}$ , which is 4, and $\sqrt{25}$ , which is 5.

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There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b

nignag [31]

Complete question is;

There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?

I. d < c

II. d > b

III. c/3 < d <a/3

A) I only

B) III only

C) I and III only

D) II only

E) I, II and III

Answer:

The correct option is C

Step-by-step explanation:

From the question, the 3 hoses combined together will fill the pool faster than the time for the hoses to accomplish it individually. Therefore, the time "d" will be lesser than any of the individual times used by each hose.

Hence, statement I is true and II is false.

Now, we know that if each of the three hoses took c days to complete the job, then together they would take c/3 days. However, in reality, two of the three hoses even took more than c days. So, in a nutshell together they would take more than "c/3" days, and therefore d > c/3.

Likewise, if each of the three hoses took "a" days to finish the job, then when combined together, they would take "a/3" days. Now, two of the three hoses used fewer than "a" days and so when combined together they would take less than "a/3" days and therefore d < a/3.

If we combine the last 2 paragraphs, we will arrive at c/3 < d < a/3 and that is same as statement III.

Thus, statement I and III are true. The correct option is C

4 0

3 years ago

How many times does 3 go into 8000

zhenek [66]

The answer is 2,666.66666

4 0

3 years ago

Read 2 more answers

What is the slope of the line that goes through (2,-3) and (-4,5)

Greeley [361]

Formula for slope: $\frac{y2-y1}{x2-x1}$
Plug in: $\frac{5-(-3)}{-4-2} = \frac{8}{-6} = -\frac{4}{3} or -1.333333
$
Slope: $- \frac{4}{3}$

Here's how to plug it into point slope if you'd like to know for future reference. :)
Formula for point-slope: $y - y1 = m(x-x1)$ where m = slope
Plug in: $y - (-3) = - \frac{4}{3}(x - 2)$
Solve: $y + 3 = - \frac{4}{3}x - \frac{13}{5} 
$
Add three both sides to get: $y = - \frac{4}{3}x + \frac{2}{5}$
And once you have solved, the above equation is now in slope-intercept form.
For further reference, slope intercept form is: $y = m(x) + b$

8 0

3 years ago

PLEASE HELP ASAP! Also please check the ones I have already done, if it’s wrong please tell me the answers too! Thanks you soo m

mario62 [17]

I’m sorry I’m on a time crunch I wish I could help you with all of them! But I check the first 3 ones and they are correct amazing job have a wonderful day ☺️❤️

4 0

3 years ago

Read 2 more answers

Triangle ABC is congruent to triangle BAD

Fudgin [204]

Answer:

BD = 16, ∠ BAD = 45°

Step-by-step explanation:

Given that Δ ABC and Δ BAD are congruent, then corresponding sides and corresponding angles are congruent, then

BD = AC = 16

and

∠ BAD = ∠ ABC = 45°