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slava [35]
3 years ago
14

How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:one solution

Step-by-step explanation:

Given

a=42

b=34

angle A=117

using sine rule

\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}

\frac{42}{sin117}=\frac{34}{sinB}

sinB=\frac{34}{42}\times sin(117)

sinB=0.7212

B=46.161 ^{\circ}

and A+B+C=180

C=16.839^{\circ}

Thus 2 triangles can be formed with given value

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∠C and ​ ∠D ​ are vertical angles with m∠C=−x+26 and m∠D=2x−10 .<br><br><br><br> What is m∠D ?
grin007 [14]

Answer:

the correct answer is 14

Step-by-step explanation:

6 0
3 years ago
A basketball player has made​ 70% of his foul shots during the season. If he shoots 3 foul shots in​ tonight's game, what is the
yulyashka [42]

Answer:

There is a 34.3% probability that he makes all of the​ shots.

Step-by-step explanation:

For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 3, p = 0.7

What is the probability that he makes all of the​ shots?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.7)^{3}.(0.3)^{0} = 0.343

There is a 34.3% probability that he makes all of the​ shots.

7 0
3 years ago
Please help me out with this!!<br> BRAINLIEST AVAILABLE!!
lapo4ka [179]

Answer:

xy = 1

k = 79

Step-by-step explanation:

Question One

The first and third frames look to me to be the same. I'll treat them that way.

y = x^2                        Equate y = x^2 to the result of 2y + 6 = 2x + 6

2y + 6 = 2(x + 3)         Remove the brackets

2y + 6 = 2x + 6           Subtract 6 from both sides

2y = 2x                       Divide by 2

y = x

Now solve these two equations.

so x^2 = x                  

x > 0

1 solution is x = 0 from which y = 0. This won't work. x must be greater than 0. So the other is

x(x) = x                           Divide both sides by x            

x = 1                            

y = x^2                           Put x = 1 into x^2

y = 1^2                           Solve

y = 1                      

The second solution is

(1,1)

xy = 1*1

xy = 1

Answer: A

Question Two

square root(k + 2) - x = 0

Subtract x from both sides

sqrt(k + 2) = x                Square both sides

k + 2 = x^2                    Let x = 9

k + 2 = 9^2                    Square 9

k + 2 = 81

k = 81 - 2

k = 79

4 0
3 years ago
Point B is at (4, 5). It is reflected on the x-axis. What are the coordinates of its image, B'?
seropon [69]

Answer:   (4, -5)

(so it sendswfegrgnhernth4retn)

4 0
2 years ago
Write a sentence that shows the commutative property of multiplication
nydimaria [60]
6 x 8 = 48
8 x 6 = 48

This is a example of commutative property of multipilcation


7 0
3 years ago
Read 2 more answers
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