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natta225 [31]
2 years ago
10

10 students are standing equidistant from the center of a classroom. they are all holding hands to begin with. they must go and

shake hands with all other students whose hands they are not holding. no handshake will occur more than once. how many handshakes will take place? ​
Mathematics
2 answers:
ozzi2 years ago
4 0

Answer:

35

Step-by-step explanation:

i dont know how to explain how i got the anwser

Alja [10]2 years ago
4 0

Answer:

45 handshakes will take place in total in the party

Step-by-step explanation:

Total number of students who attended the party = 10

Number of students needed to make one handshake = 2

Given that : no handshake will occur more than once.

⇒ No repetition of handshakes will be there.\

We need to find the total number of handshakes that took place in the party

\implies\text{Total number of handshakes = }_2^{10}\txterm{C}

\implies\text{Total number of handshakes = }\frac{10!}{2!\times 8!}

\implies\text{Total number of handshakes = }\frac{10\times 9}{2}

\implies\text{Total number of handshakes = }45

Therefore, 45 handshakes will take place in total in the party

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The variables x and y vary inversely. When y is 5, x is 3. What is x when y is 15?
koban [17]
The variables x and y vary inversely. When y is 5 x is 3, so when y is 15 x is 9.
6 0
2 years ago
E
Allushta [10]

Answer:

Step-by-step explanation:

We can use Hypotenuse Theorem for this:

For triangle ABC,

AC²=CB²+BA²

9²=CB²+3²

Switch the sides

-CB²=3² -9²

-CB²= 9-81

-CB²= -72

the signs cut each other

CB²=72

the square changes sides

CB=√72

CB= 8.49 cm

Now triangle CBD

We have the length of CB but not the other two whereas we have the angle

It will be sin

As we know sin= O/H

Here O is CB whereas H is CD

Put the values

sin 50= 8.49/H

H= 8.49 ÷sin 50

Calculate

H=11.1 cm

As we know H is CD so CD is 11.1 cm

Hope it helps

8 0
2 years ago
Tom bought 2.1 pounds of each type of fruit shown on the sign. What was the total cost of the fruit he brought.
Artist 52 [7]

Answer:

Can I see the sign?

Step-by-step explanation:

5 0
3 years ago
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions
Art [367]

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector \vec{v} in some vector space \mathbb R^n we have

\vec{v} = \langle a,b\rangle

This is the component form. I don't like that way. It is probably used in high school, but

\vec{v} =  \begin{pmatrix} a\\ b\\ \end{pmatrix}

is preferable because the inner product on \mathbb R^n is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as \vec{v} = 2i+2j

4.

For this question, I think you meant

vectors

\vec{u_1} = (-8, 12)

\vec{u_2}  = (13, 15)

Once

\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}

Considering that the dot product is

\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76

and the norm of \vec{u_1} is ||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}

and the norm of \vec{u_2} is ||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}

Thus,

\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}

\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)

3 0
2 years ago
A coin is tossed and a number cube is rolled at the same time. What is the probability that the coin will land on tails and the
babymother [125]
A-1/12 because if you write down h1, h2, h3, etc.-same for tail….tail and four would show up once out of the twelve options.
8 0
2 years ago
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