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RideAnS [48]
3 years ago
7

Solve triangle ABC given that A=56 B=57 b=9

Mathematics
2 answers:
docker41 [41]3 years ago
7 0
Sin A/a = Sin B/b
Sin 56/a = Sin 57/9
a = (Sin 56/Sin 57) x 9
a = 8.9

c) C=67, a=8.9, c=9.88
spayn [35]3 years ago
7 0
Sin A / a = sin B / b
sin 56 / a = sin 57 / 9
a = 9sin 56 / sin 57 = 8.9

C = 180 - 56 - 57 = 67

sin 67 / c = sin 57 / 9
c = 9sin 67 / sin 57 = 9.88

option c is the correct answer.
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given a standard deck of 52 cards what is the probability of drawing a face card of any suit or a red 6 a 4/13 b 1/4 c 3/13 d 7/
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Answer:

Choice D 7/26

Step-by-step explanation:

So first let's count how many face cards there are. We have a Jack, a Queen, and a King in all of the 4 sets of cards. This knowledge tells us that we have 12 face cards out of the 52 cards.  Then, we have 2 red sixes in the game.  These come from the 6 of hearts and the 6 of diamonds.  This makes the new total of the cards we want to draw 12+2=14. Then we now have the fraction 14/52.  After simplifying we get the answer 7/26 is our probability (choice D)

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Write and solve an inequality.
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3 years ago
The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table,
maks197457 [2]

Answer:

(18,27) , because the rate of change of the function is \frac{4}{3}

Step-by-step explanation:

step 1

Find the slope of the linear equation

Looking at the table

we have the points (0,3) and (3,7)

The slope is equal to

m=(7-3)/(3-0)=\frac{4}{3}

step 2

Find the equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=\frac{4}{3}

b=3 -----> point (0,3) is the y-intercept

substitute

y=\frac{4}{3}x+3

The rate of change of the linear equation is equal to \frac{4}{3}

Remember that

If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation

<u><em>Verify </em></u>

1) point (18,27)

substitute the value of x and the value of y in the linear equation

27=\frac{4}{3}(18)+3

27=24+3

27=27 -----> is true

so

The ordered pair is a solution of the linear equation

therefore

The point (18,27) could also be an ordered pair in the table

2) point (27,18)

substitute the value of x and the value of y in the linear equation

18=\frac{4}{3}(27)+3

18=36+3

18 \neq 39 -----> is not true

so

The ordered pair is not a solution of the linear equation

therefore

The point (27,18) could not be an ordered pair in the table

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3 years ago
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