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2 years ago

Find the quotients:. FINAL WILL MARK BRAINLIEST AND EXTRA POINTS NO LINKS!!

Mathematics

1 answer:

inessss [21]2 years ago

8 0

$\frac{8 {a}^{5} {b}^{3} }{9 {s}^{4} {y}^{2} } \times \frac{15 {s}^{3} y}{6 {a}^{4} {b}^{2} } \\ = \frac{20ab}{9sy}$

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In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant

Nina [5.8K]

Answer:

5 players participated in the tournament.

Step-by-step explanation:

In a small chess tournament, 20 matches were played.

Let us assume that n number of players participated in the tournament

As in each game 2 players play, so the number of ways they can play is,

$=\ ^nC_2$

As they played 2 games with every other participant in the tournament.

So the total number of games is,

$=\ 2\times ^nC_2$

But it is given to be 20, so

$\Rightarrow \ 2\times ^nC_2=20$

$\Rightarrow \ ^nC_2=10$

$\Rightarrow \dfrac{n!}{2!(n-2)!}=10$

$\Rightarrow \dfrac{n(n-1)}{2}=10$

$\Rightarrow {n(n-1)=20$

As $5\times 4=20$ , so we get n=5.

Therefore, 5 players participated in the tournament.

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2 years ago

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In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the nearest degree

Westkost [7]

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Using Law of Cosines in triangle OPQ, we get

$\cos P=\dfrac{o^2+q^2-p^2}{2oq}$

$\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}$

$\cos P=\dfrac{490000+384400-705600}{868000}$

$\cos P=\dfrac{168800}{868000}$

On further simplification, we get

$\cos P=0.19447$

$P=\cos^{-1}(0.19447)$

$P=78.786236$

$P\approx 79$

Therefore, the measure of angle P is 79 degrees.

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3 years ago

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Therese filled a rectangular pool with water. The pool measured 214 yards long, 2 yards wide and 3 yards tall. If the pool was f

Andrej [43]

Answer:

1284 yd^3

Step-by-step explanation:

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2 years ago

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Ms. Hernandez writes this expression on the board.

Ahat [919]

I need a point to this question in order to answer it

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3 years ago

Tamu ran 30 minutes and burned 170 calories. PART A: Which equations can be used to find the average number of calories, c, burn

Lena [83]

Answer:

170 divided by 30 or calories divided by minutes

Step-by-step explanation:

the answer could be either but they both mean the same thing just in different words

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2 years ago

Find the quotients:. FINAL WILL MARK BRAINLIEST AND EXTRA POINTS NO LINKS!!​

Find the quotients:. FINAL WILL MARK BRAINLIEST AND EXTRA POINTS NO LINKS!!