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3 years ago

Find the value of X. Write your answer in simplest form. X=__

Mathematics

1 answer:

ratelena [41]3 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

Use the Pythagorean theorem:

$x^2+x^2=(3\sqrt2)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\2x^2=3^2(\sqrt2)^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\2x^2=(9)(2)\\\\2x^2=18\qquad\text{divide both sides by 2}\\\\x^2=9\to x=\sqrt9\\\\\boxed{x=3}$

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. All the students in SS3 of a named school take either Mathematics (M), or Physics (P) or Chemistry (C). 40 take Mathematics, 4

aivan3 [116]

Answer:

(a) = 13

(b) = 8

Step-by-step explanation:

Addition theorems on sets are

Theorem 1 :

n(AuB) = n(A) + n(B) - n(AnB)

Theorem 2 :

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Total number of students in the school is not given

so let there are 60 students in the school

using theorem 2

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry

so putting values,

60 = 40 + 42 + 38 - 20 - 28 - 25 + n(AnBnC)

60 +73 -120 = n(AnBnC)

13 = n(AnBnC)

therefore, there are total 13 students who take all three subjects

Number of students who had taken only Mathematics =
n(A) - n(AnB) - n(AnC) + n(AnBnC)

40 - 20 - 25 + 13

53 - 45 = 8 students

Number of students who had taken only Physics =

n(B) - n(BnA) - n(BnC) + n(AnBnC)

42 - 20 - 28 + 13

53 - 48 = 5 students

learn more about sets and vein diagrams at

brainly.com/question/2332158

#SPJ10

4 0

2 years ago

A computer is generating passwords. The computer generates ten characters at random, and each is equally likely to be any of the

7nadin3 [17]

Answer: 0.0386

Step-by-step explanation:

Number of digits = 10

Number of letters in English alphabet = 26

Total number of characters = $10+26=36$

Now, if replication is allowed, then the total number of ways to make a ten character password will be :_

$(36)^{10}$

The number of ways to make a password having all letters :-

$(26)^{10}$

Now, the probability that the password will contain all letters will be :-

$\dfrac{26^{10}}{36^{10}}=0.0386107708316\approx0.0386$

Hence, the probability that the password will contain all letters =0.0386

6 0

3 years ago

the cost of diesel fuel varies directly with the number of gallons purchased. if 21 gallons of diesel fuel costs $73.50, how man

atroni [7]

73.50÷21=3.5 per gallon

98÷3.5=28 gallons ...answer

8 0

4 years ago

Read 2 more answers

Find the length of each missing side and each missing angle in the isosceles triangle below.

Zarrin [17]

Answer:

x = 45

y = 45

z = 11.1

Step-by-step explanation:

Remark

The triangle is a right triangle. That means that it has 1 right angle.

It is also isosceles which means that the two legs that are not the hypotenuse are equal.

Result: z and 11.1 are equal z = 11.1

More remark

If the triangle is isosceles, that means that the angles that are not right angles must also be equal.

90 + x + y = 180

but x = y

90 + 2x = 180 Subtract 90

2x = 180 - 90 Divide by 2

2x/2 = 90/2

x = 45

3 0

3 years ago

How would you graph the solution set of x - 6 < -3?

mezya [45]

Answer:

Draw an open circle on 3 and shade to the left.

Step-by-step explanation:

Given:

The inequality given is:

$x-6$

In order to solve for 'x', we add 6 on both sides of the inequality. This gives,

$x-6+6$

Therefore, the solution is 'x' less than 3.

So, 'x' includes all the values that are less than 3 and excluding 3 as the inequality sign is less than.

So, on a number line, the values that are less than 3 are to the left of 3. So, we shade to the left. Also, 3 is excluded from the solution. So, we use an open circle as shown below.

So, the first option is the correct option.

7 0

3 years ago