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BaLLatris [955]
3 years ago
8

In a un ceremony, 25 diplomats were introduced to each other. suppose that the diplomats shook hands with each other exactly onc

e. how many handshakes took place?
Mathematics
1 answer:
saw5 [17]3 years ago
7 0
The question is asking 'how many different ways can we pair two diplomats to shake hand'?

The combination formula is given by: \frac{n!}{(n-r)!r!}

We have n = 25 and r = 2

Substituting into the formula we have

\frac{25!}{(25-2)!2!} =300 handshakes
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A zoo has 15 emperor penguins The emperor penguins make up 30% of all the penguins at the zoo. How many penguins live at the zoo
r-ruslan [8.4K]

Let x + 15 = total penguins

15/ (x +15) = .30

15 = .30x + 4.5

.30x  = 10.5

x = 35

Total penguins = 15 + 35 = 50

Double Check

15 / 50 * 100 = 30%  Correct!!!


3 0
3 years ago
If a angle on the circumference of a circle is subtended by a diameter of the circle what is the angle
Brilliant_brown [7]

Answer:

The angle is 90 degrees

Step-by-step explanation:

Required

Angle subtended by the diameter

The theorem to solve this is:

The angle subtended by an arc is twice the angle it subtends.

<em></em>

<em>The diameter forms </em>180^\circ<em> on the circle, so we have:</em>

<em></em>2*\theta = 180^\circ<em></em>

<em></em>

Where \theta is the angle subtended

Solve for \thets\theta

<em></em>\theta = \frac{180^\circ}{2}<em></em>

<em></em>\theta = 90^\circ<em></em>

4 0
3 years ago
Hi! Can someone answer and explain how you got that answer? I’m practicing for the asvab, if you can explain in the most simplif
inysia [295]

Answer:

D.)

Step-by-step explanation:

multiply every side by 5 since it's a square each side is equal!

4 0
2 years ago
Which statement is true based on the graph ?
Anton [14]

Answer:

C: The speed increases from A to F

Step-by-step explanation:

Check each node A to F including A and F.

B is higher than A, C is higher than B, ...

This is true for all of them, so it is increasing.

4 0
2 years ago
. identify the binomial<br> a. x2<br> b. x2 - 4x 2<br> c. x2 - 4<br> d. 2x2 3x - 1 y
tino4ka555 [31]

Answer: x^2 - 4

Step-by-step explanation:

Since a Binomial is an algebraic expression of the sum or the difference of two terms.

Therefore, For a binomial an expression must contain exactly two terms.

In a) x^2 there is only one term therefore it is not the Binomial.

In a) x^2-4x^2 = -3x^2,  there is only one term therefore it is not the Binomial.

In a) x^2-4 there is exactly two terms therefore it is a Binomial.

In a) 2x^2+3x-1y there are three terms therefore it is not the Binomial.

6 0
3 years ago
Read 2 more answers
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