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sammy [17]
3 years ago
12

Simplify. Rationalize the denominator. 3/9-√2​

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

\frac{3}{9-\sqrt{2} } * \frac{9+\sqrt{2}}{9+\sqrt{2}}

\frac{27 + 3\sqrt{2} }{9^{2} - (\sqrt{2})^{2}  }

\frac{27 + 3 \sqrt{2} }{81 - 2}

\frac{27 + 3\sqrt{2} }{79}

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3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a
ki77a [65]

Answer:

1kg of apple : €0.50

1kgof grapes : €1.20

Step-by-step explanation:

15kg of apples and 40kg of grapes costs €38

15kg of apples and 9kg of grapes costs €22.50

38 - 22.50 = 15.5

40 - 9 = 31

15.5 ÷ 31 = 0.5 ( 1kg of grapes )

0.5 × 3 = 1.5

7.5 - 1.5 = 6

6 ÷ 5 = 1.2 ( 1kg of apples )

4 0
3 years ago
According to a recent survey, the salaries of entry-level positions at a large company have a mean of and a standard deviation o
saveliy_v [14]

The proportion of employees in entry-level positions at the company who earn at least $ 42,000 will be 0.48466.

<h3>What is a normal distribution?</h3>

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

According to a recent survey, the salaries of entry-level positions at a large company have a mean of $ 41,750 and a standard deviation of $ 6500.

Assuming that the salaries of these entry-level positions are normally distributed.

Then the proportion of employees in entry-level positions at the company who earn at least $ 42,000 will be

The z-score is given as

z = (x - μ) / σ

Then we have

z = (42000 - 41750) / 6500

z = 0.03846

Then we have

P(x ≥ 42000) = P(z ≥ 0.03846)

P(x ≥ 42000) = 1 - P(z < 0.03846)

P(x ≥ 42000) = 1 - 0.51534

P(x ≥ 42000) = 0.48466

More about the normal distribution link is given below.

brainly.com/question/12421652

#SPJ1

6 0
2 years ago
Write a ratio for “45 and 20 to 6”
9966 [12]

Answer: I can't do ratios, Sorry!

Step-by-step explanation:

7 0
3 years ago
What is the range the 3rd side of the triangle can be be with 15 cm 14 cm ?
Volgvan

Answer:

20.5 cm

Step-by-step explanation:

I just used Pythagorean theorem  in which c^2=a^2+b^2

so this is c^2= 225 + 196 and then you get c^2= 421 and finally you get the square root of 421 so this way you finally get 20.5 cm

6 0
3 years ago
You have just arranged for a $1,640,000 mortgage to finance the purchase of a large tract of land. the mortgage has an apr of 6.
sergeinik [125]
You would take 6.4% into 1640000 and you would pay that the next 30 years

3 0
4 years ago
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