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Ksivusya [100]
3 years ago
10

A class of 30 students took midterm science exams. 20 students passed the chemistry exam, 14 students passed physics, and 6 stud

ents passed both chemistry and physics. Which Venn diagram correctly represents this information?

Mathematics
2 answers:
Vladimir [108]3 years ago
7 0
Since you provide no options,

the correct venn diagram would  represent

- 2 circle intersect with one another
- 14 will be written on left circle
- 8 written on right circle
- 6 written on intersection
- 2 written outside the circle

hope this helps

sergejj [24]3 years ago
4 0

Answer:

Step-by-step explanation:

Given :

Total students = 30

Students passed chemistry exam = 20

Students passed physics exam = 14

Students passed both exams = 6

To find: Venn diagram

Solution:

Total students = 30 i.e. U = 30

Students passed chemistry exam = 20

Students passed physics exam = 14

Students passed both exams = 6

Students passed only chemistry = 20-6 =14

Students passed only Physics = 14-6=6

So refer the attached figure for the Venn diagram

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Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

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3 years ago
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devlian [24]

Answer:

The length of the diagonal of a poster board is 35.6\ in

Step-by-step explanation:

Let

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we know that

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x^{2}=22^{2}+28^{2} \\ \\x^{2}=1,268\\ \\x=35.6\ in

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Answer:

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x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

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Then

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