Don’t know how to do this

For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?

Kisachek [45]

Neither the <u>laws of sines</u> nor the <u>law of cosines</u> can be used to solve the triangle. The correct option is the third option - neither law can be used

<h3>Solving trianngles using the laws of sines & cosines </h3>

The law of sines is written as

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

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

Two angles and one side, or
Two sides and a non-included angle

The law of cosines is written as

a² = b² + c² -2bc cosA, or

b² = a² + c² - 2ac cosB, or

c² = a² + b² -2ab cosC

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

Three sides or
Two sides and the included angle

Now, for triangle xyz, which the measures of angles X,Y, and Z are known, neither law can be used to solve the triangle.

Hence, neither the <u>laws of sines</u> nor the <u>law of cosines</u> can be used to solve the triangle. The correct option is the third option - neither law can be used

Learn more on Solving triangles using the laws of sines & cosines here: brainly.com/question/22339733

5 0

2 years ago

What is the rate of change?? please i need asap

Mariana [72]

Answer: Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Step-by-step explanation:

7 0

2 years ago

-5x+1+2x+2=-2+2x<br> I’m super lost

DaniilM [7]

Are you trying to simplify the equation? if so, combine the like terms on each side first. -3x + 3 = -2 + 2x. Then simplify, -5x = -5. And solve, x = 1

3 0

3 years ago

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 11 roots?

kondor19780726 [428]

Answer:

B f (x) = (x + 2) cubed (x squared minus 7 x + 3) Superscript 4

Step-by-step explanation:

idk i guess i got it right so there

5 0

3 years ago

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

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 combinations 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago