All categories

2 years ago

From the diagram below, if AB = 4, BC = 3, and AC = 5, find the sin, cos, and tan of < A.

Mathematics

2 answers:

riadik2000 [5.3K]2 years ago

7 0

Answer: Sin A = 3/5

Cos A = 4/5

Tan A = 3/4

Step-by-step explanation:

Looking at the right angle triangle ABC, taking angle A as the reference angle,

AC represents the hypotenuse

BC represents the opposite side

AB represents the adjacent side.

1) Sin θ = opposite side/hypotenuse.

Sin A = BC/AC

Sin A = 3/5

2)Cos θ = adjacent side/hypotenuse

Cos A = AB/AC

Cos A = 4/5

3)Tan θ = opposite side/adjacent side

Tan A = BC/AB

Tan A = 3/4

LenKa [72]2 years ago

4 0

Answer:

b is the answer

Step-by-step explanation:

I always say SOHCAHTOA meaning

sine=opp./hyp.

cosine=adj./hyp.

tan=opp./adj.

sine=3/5

cos=4/5

tan=3/4

ask me anywhere there is a challenge

You might be interested in

Need help with this math problem

-BARSIC- [3]

z = 37°

Step-by-step explanation:

The exterior angle theorem says that the sum of two internal angles is equal to the exterior angle

In this case the sum of z and z+4 will be equal to z+41

Writing mathematically

$z + z+ 4 = z + 41\\2z+4 = z + 41\\2z -z = 41 -4\\z = 37$

Hence

z = 37°

Keywords: Angles, Triangles

Learn more about angles at:

#LearnwithBrainly

3 0

3 years ago

Can you help me please??

dusya [7]

Answer:

y = $\frac{4}{5}x+\frac{54}{5}$

Step-by-step explanation:

Equation of a line has been given as,

$y=\frac{4}{5}x+\frac{3}{5}$

Here, slope of the line = $\frac{4}{5}$

y-intercept = $\frac{3}{5}$

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = $\frac{4}{5}$

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y = $\frac{4}{5}x+b$

Since, this line passes through a point (-6, 6),

6 = $\frac{4}{5}(-6)+b$

6 = $-\frac{24}{5}+b$

b = $6+\frac{24}{5}$

b = $\frac{30+24}{5}$

b = $\frac{54}{5}$

Equation of the parallel line will be,

y = $\frac{4}{5}x+\frac{54}{5}$

4 0

3 years ago

What value of x solves the equation? -(-5x + 3) = 17 What value of x solves the equati

alexdok [17]

Step-by-step explanation:

-(-5x + 3) = 17

5x - 3 = 17

5x = 20

x = 4.

5 0

2 years ago

Solve for all values of x by factoring.<br> x^2-11x+10=0

noname [10]

Answer:

x= 10, x=1

Step-by-step explanation:

(x-1)(x-10)=0

then solve for x

6 0

3 years ago

If the level of significance of a hypothesis test is raised from 0.005 to 0.2, the probability of a type ii error will:_________

LiRa [457]

The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.

<h3 /><h3>What is a type II error?</h3>

A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.

It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.

<h3>How the type II error is related to the significance level?</h3>

The relation between type II error and the significance level(α):

The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
Thus, if the significance level increases, the type II error decreases and vice-versa.

From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.

Learn more about type II error of a hypothesis test here:

brainly.com/question/15221256

#SPJ4

7 0

1 year ago