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3 years ago

Whats the answer? A, B, C, or D??

Mathematics

2 answers:

Nikitich [7]3 years ago

7 0

Answer:

Step-by-step explanation:

This triangle is a 45-45-90 triangle, which is a special triangle! Ooh! That means we already know that the ratio of its sides is $x\sqrt{2}$ , x, and x, with the legs = x and the hypotenuse = $x\sqrt{2}$ .

We have the hypotenuse as 8, so plug it in:

8 = $x\sqrt{2}$

8/ $\sqrt{2\\}$ = x

Multiply both the top and bottom of that fraction by $\sqrt{2\\}$ to get

8 $\sqrt{2\\}$ / $\sqrt{2\\}$ $\sqrt{2\\}$ =

8 $\sqrt{2\\}$ / 2 = 4 $\sqrt{2\\}$

x = 4 $\sqrt{2\\}$ , so v and u = 4 $\sqrt{2\\}$ !

vesna_86 [32]3 years ago

6 0

Answer:

C is the correct answer

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The radius,r , of a sphere is 4 . 3m Calculate the sphere's volume,v . Use the value 3.14 for sqaure, and round your answer to t

kotykmax [81]

Answer:

V(s) = 332,9 m³

Step-by-step explanation:

The volume of a sphere is:

V(s) = (4/3)*π*r³

if we know r = 4,3 m then

V(s) = (4/3)*3,14*(4,3)³

V(s) = 332,8693 m³

Rounding the answer to the nearest tenth

V(s) = 332,9 m³

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2 years ago

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3 years ago

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valentina_108 [34]

Answer:

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2 years ago

The 65 students in a classical music lecture class were polled, with the following results: 37 like Wolfgang Amadeus Mozart 36 l

Anna35 [415]

Answer:

a) 25

b) 30

c) 10

d) Not Mozart, 6

e) 2

Step-by-step explanation:

We use a Venn Diagram to solve this question.

I am going to say that:

A are the students who like Mozart.

B are the students who like Beethoven

C are the students who like Haydn.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a are those who only like Mozart, $(A \cap B)$ are those who like Mozart and Beethoven, $(A \cap C)$ are those who like Mozart and Haydn and $(A \cap B \cap C)$ are those who like all three of them.

By the same logic, we have that:

$B = b + (A \cap B) + (B \cap C) + (A \cap B \cap C)$

$C = c + (B \cap C) + (A \cap C) + (A \cap B \cap C)$

We start finding these values from the intersection:

8 like all three composers

This means that $A \cap B \cap C = 8$

14 like Beethoven and Haydn

This means that:

$(B \cap C) + (A \cap B \cap C) = 14$

$B \cap C = 6$

21 like Mozart and Haydn

This means that:

$(A \cap C) + (A \cap B \cap C) = 21$

Then

$A \cap C = 13$

14 like Mozart and Beethoven

This means that:

$(A \cap B) + (A \cap B \cap C) = 14$

$A \cap B = 6$

31 like Franz Joseph Haydn

This means that C = 31. So

$C = c + (B \cap C) + (A \cap C) + (A \cap B \cap C)$

$31 = c + 6 + 13 + 8$

$c = 4$

36 like Ludwig van Beethoven

This means that $B = 36$

$B = b + (A \cap B) + (B \cap C) + (A \cap B \cap C)$

$36 = b + 6 + 6 + 8$

$b = 16$

37 like Wolfgang Amadeus Mozart

This means that A = 37. Then

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

$37 = a + 6 + 13 + 8$

$a = 10$

a. exactly two of these composers?

$(A \cap B) + (A \cap C) + (B \cap C) = 6 + 13 + 6 = 25$

b. exactly one of these composers?

$a + b + c = 10 + 16 + 4 = 30$

c. like only Mozart?

$a = 10$

d. like Beethoven and Haydn, but not Beethoven?

I will use not Mozart.

So $B \cap C = 6$

Not Mozart, 6.

e. like none of these composers?

At least 1:

$(A \cup B \cup C) = a + b + c + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 10 + 16 + 4 + 6 + 13 + 6 + 8 = 63$

The total is 65

So 65 - 63 = 2 like none of these composers

4 0

2 years ago

1 the average of 3 6 9

Brut [27]

1. 3 + 6 + 9 = 18
18/3 = 6 --> The average is 6
2. 15 + 5 + 8 + 4 = 32
32/4 = 8 --> The average is 8
3. 6 + 10 + 5 = 21
21/3 = 7 --> The average is 7
4. 14 + 9 + 7 = 30
30/3 = 10 --> The average is 10

6 0

3 years ago