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Gala2k [10]
3 years ago
8

Triangle A B C is shown. Angle C A B is a right angle. Angle A B C is 30 degrees and angle B C A is 60 degrees. The length of A

C is 9 and the length of hypotenuse C B is 18. Which trigonometric ratios are correct for triangle ABC? Select three options. sin(C) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction cos(B) = StartFraction StartRoot 2 EndRoot Over 3 EndFraction tan(C) = StartRoot 3 EndRoot sin(B) = One-half tan(B) = StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
Mathematics
2 answers:
irinina [24]3 years ago
7 0

Answer:

The answer is A C and D on Edge 2020

Step-by-step explanation:

marishachu [46]3 years ago
3 0

Answer:

i. sin(C) = \frac{\sqrt{3} }{2}

ii. tan(C) = \sqrt{3}

iii. sin(B) = \frac{1}{2}

Step-by-step explanation:

Given a right angled triangle ABC, with a right angle at A.

<ABC = 30^{0}

<BCA = 60^{0}

AC = 9 = 1

CB = 18 = 2

Applying Pythagoras theorem to ΔABC, we have;

AB = \sqrt{BC^{2} - AC^{2} }

    = \sqrt{2^{2} - 1^{2}  }

   = \sqrt{3}

Thus applying the trigonometric ratios, it would be observed that;

i. sin(C) = \frac{\sqrt{3} }{2}

ii. tan(C) = \sqrt{3}

iii. sin(B) = \frac{1}{2}

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DaniilM [7]

Step-by-step explanation:

The solution to this problem is very much similar to your previous ones, already answered by Sqdancefan.

Given:

mean,  mu = 3550 lbs (hope I read the first five correctly, and it's not a six)

standard deviation, sigma = 870 lbs

weights are normally distributed, and assume large samples.

Probability to be estimated between W1=2800 and W2=4500 lbs.

Solution:

We calculate Z-scores for each of the limits in order to estimate probabilities from tables.

For W1 (lower limit),

Z1=(W1-mu)/sigma = (2800 - 3550)/870 = -.862069

From tables, P(Z<Z1) = 0.194325

For W2 (upper limit):

Z2=(W2-mu)/sigma = (4500-3550)/879 = 1.091954

From tables, P(Z<Z2) = 0.862573

Therefore probability that weight is between W1 and W2 is

P( W1 < W < W2 )

= P(Z1 < Z < Z2)

= P(Z<Z2) - P(Z<Z1)

= 0.862573 - 0.194325

= 0.668248

= 0.67 (to the hundredth)

6 0
3 years ago
A student found the slope of a line that passes through the points (1, 14) and (3, 4) to be 5. What mistake did she make ?
adoni [48]
It would be negative 5 since it is going down.
5 0
3 years ago
PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Crank

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

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3 years ago
CAN SOMEONE HELP ME!<br>​
Georgia [21]

Answer:

26

Step-by-step explanation:

5 × 4 = 20 (rectangle)

8-5 = 3 (triangle)

3×4÷2 = 6

20+6 = 26

4 0
3 years ago
Please help me out with these slopes.
inysia [295]
Remember, the slope formula is y2-y1 over x2-x1. To plug numbers into the formula, find two points. Then, you substitute the points into the formula.
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4 years ago
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