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Zina [86]
3 years ago
15

Q:- The rationalisation factor of √3 {

{3} " alt=" \sqrt{3} " align="absmiddle" class="latex-formula">
} is:-
​
Mathematics
2 answers:
Jobisdone [24]3 years ago
8 0

Answer:

√3

Step-by-step explanation:

rationlisation factor is the number that makes it a rational number,

√3 * √3 = 3

kipiarov [429]3 years ago
6 0

Answer:

its the same  (root 3)

Step-by-step explanation:

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You will need to flip the inequality sign when you subtract 4 from each side in the inequality y/-2 + 4 < 9.
Talja [164]

Answer:

-1/2y+4<9

-1/2y+4-4<9-4

-1/2<5

(2/-1)*(-1/2y)<(2/-1)*(5)

y>-10

answer is y>-10

Step-by-step explanation:

5 0
3 years ago
18 points were scored by one figure skating pair and that was 40% of their final score. What was the final score for that pair o
Phoenix [80]
18 points scored for a pair was 40 % of the final score
then final score is 100%
therefore if 40 % accounts for 18 points 
                 100 % = 18 / 40% *100%
                            = 45 points is the final score 
if we back calculate = 18 /45 *100 = 40%
Therefore the final score is 45 points
7 0
4 years ago
Michael paid a repairman dollars per hour for a 4-hour job plus $69 for parts. The total charge was $320. Which equation can be
Stels [109]

Answer:

The answer is d) 4d = 320 - 60 becasue d is the dollors he made per hour and the repairman worked for 4 hours so you multiply 4 times d and then you subtract 60 from the total to get your final answer. If you subtracted already then you would divide that answer by 4 then you would find out how much the repairman maid per hour.

5 0
4 years ago
The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, durin
grigory [225]

Answer:

5\ \frac{miles}{hour}

Step-by-step explanation:

<u><em>The complete question is</em></u>

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?

Time Elapsed (Hours) Miles Traveled (Miles)

0.50 2.00

0.75 3.50

1.00 4.75

Let

x ----> the time in hours

f(x) ----> the distance traveled in miles

so

we have

x (Hours)   0.50   0.75  1.00

f(x) (Miles)  2.00   3.50  4.75

we know that

To find the average speed, we divide the change in the output value by the change in the input value

the average speed is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

a=0.75

b=1.00

f(a)=f(0.75)=3.50  

f(b)=f(1.00)=4.75

Substitute

\frac{4.75-3.50}{1-0.75}

\frac{1.25}{0.25}

5\ \frac{miles}{hour}

8 0
3 years ago
Read 2 more answers
Tom's Sports Wear is a retailer of sports hats located in Atlanta, Georgia. Although Tom's carries numerous styles of sports hat
Kaylis [27]

The annual breakeven point is $550157

Given that the Sales price is $ 31.00, Per-unit variable costs: Invoice cost is 17.05, Sales commissions is 4.05, Total per-unit variable costs is $ 21.10, Total annual fixed costs: Advertising is $ 23,100, Rent is 28,200, Salaries is 124,200 and Total fixed costs is $ 175,500.

The break-even point is your total fixed cost divided by the difference between the unit price and the variable cost per unit.

The sales price is $31 and the total variable cost is $21.10.

Now, we will find the Contribution margin by subtracting the Total variable cost from the sales price, we get

Contribution margin= Sales price-Total sales price

Contribution margin=31-21.10

Contribution margin=9.9

Further, we will find the contribution margin ratio by dividing the contribution margin by Sales price, we get

contribution margin ratio=contribution margin/Sales price

contribution margin ratio=9.9/31

contribution margin ratio=0.319

contribution margin ratio=31.9%

Furthermore, we will find the break-even point, we get

Break-even point=Fixed cost/contribution margin

Break-even point=175500/9.9

Break-even point=17727.27

Now, we will find the break-even sales in dollars, we get

Break-even sales=Fixed cost/contribution margin ratio

Break-even sales=(175500/31.9)×100

Break-even sales=550157

Hence, the annual breakeven point in unit sales is calculated to be $550157.

Learn more about the break-even point from here brainly.com/question/10573173.

#SPJ1

5 0
2 years ago
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