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Alexandra [31]
2 years ago
8

Find the value of x and round to the nearest tenth

Mathematics
1 answer:
kirza4 [7]2 years ago
5 0

Using the law of sines, the value of x in the image is approximately: 8.5.

<h3>What is the Law of Sines?</h3>

The equation for the law of sines is: sin A/a = sin B/b = sin C/c.

We are given:

A = 28

C = 83

a = x

c = 18

Substitute

sin 28/x = sin 83/18

x = (sin 28 × 18)/sin 83

x ≈ 8.5

Learn more about the law of sines on:

brainly.com/question/2807639

#SPJ1

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If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac
mezya [45]

There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761

4 0
2 years ago
Question 8
Nikolay [14]
The answer is C because 100 doesn’t change but 12 is dependent on the number of people.
5 0
3 years ago
Read 2 more answers
The scatter plot shows a​ hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation o
irakobra [83]

Answer:

2232 for 170 minutes

Step-by-step explanation:

4 0
3 years ago
Does it help to remember and/or list out your square roots
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It is a good thing to remember. Of course, not all, but some basic numbers that appear all the time such as the numbers from 2 to 13 should be remembered as they appear in numerous assignments and tests.
6 0
3 years ago
Approximate: log5 4/7
Evgesh-ka [11]
   Properties of Logs

logb(x/y) = log<span>bx</span> - log<span>by</span>.

therefore

log5 (4/7)= log5 (4)- log5 (7)

<span>Solve log 5 (4) and log 5 (7)  with the base change of the logarithm</span>

<span>log 5 4 = log 4 / log 5 </span>

 Use the calculator: 

<span> <span>log 5 4 =0.8613531161 </span></span>

 log 5 7 = log 7 / log 5 

<span>log 5 7 =1.2090619551</span>

<span>log5 (4/7)= log5 (4)- log5 (7)=-0.347708839</span>

6 0
3 years ago
Read 2 more answers
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