In triangle XYZ, angle Y = 68, angle Z = 53, and y = 17. Find z to the nearest tenth.

1 answer:

8 0

The simplest way to solve this is using the Law of Sines...

(sin68)/17=(sin53)/z

z=17sin53/sin68

z≈14.6 to nearest tenth of a unit

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If there are x teams in a sports league, and all the teams play each other twice, a total of N(x) games are played, where N

Elena-2011 [213]

Answer:

It will cost $700 to play the entire schedule.

Step-by-step explanation:

Given : $N(x)=x^2-x$

To Find : A softball league has 5 teams, each of which play the others twice. If the league pays $35 per game, how much will it cost to play the entire schedule?

Solution:

Equation for total no. of games when all the teams play each other twice is $N(x)=x^2-x$

Now we are given that A softball league has 5 teams, each of which play the others twice.

So, Substitute x = 5 in the given equation

$N(x)=5^2-5$

$N(x)=20$

So, The total no. of games = 20

Cost for 1 game = $35

So, cost for 20 games = $35 \times 20 = 700$

Hence it will cost $700 to play the entire schedule.

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lapo4ka [179]

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Solve the equation 7x-12=6x-1 x=_

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Answer:

x = 11

Step-by-step explanation:

Combine the like terms in the given 7x-12=6x-1:

7x - 6x = -1 + 12, or

x = 11

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