Find the value of cos(2.78°) to the nearest hundredth.

Answer:

We know that:

csc(x) = 1/sin(x)

Now we want to work with:

2csc(x+y)

The first step is:

2csc(x+y)= 2/sin(x-y)

This is correct so far.

Now we need to use the relation:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Then:

sin(x - y) = sin(x)*cos(-y) + sin(-y)*cos(x)

sin(x) is an odd function, then: sin(-y) = -sin(y)

and cos(x) is an even function, then:

cos(-y) = cos(y)

Then we get:

sin(x - y) = sin(x)*cos(y) - sin(y)*cos(x)

then:

2/sin(x-y) = 2/(sin(x)*cos(y) - sin(y)*cos(x))

Now let's look at what she did:

2/sin(x-y) = 2/(cos x cos(-y)+sin xsin(-y))

Here is her error, she replaced:

sin(x - y) by cos x cos(-y)+sin(x)sin(-y)

This relation is for the cosine function, not the sine one, so here is her mistake.

Answer:

[tex]sin(\alpha -\beta )\neq cos \alpha[/tex] [tex]cos\beta +sin\alpha[/tex] [tex]sin\beta[/tex]

Step-by-step explanation:

I just did the test

Answer: 1/6

Step-by-step explanation: To find the probability of rolling a six,

let's use our ratio for the probability of an event.

number of favorable outcomes / total number of outcomes

Since only one side of a die has a six on on it, the number of favorable

outcomes for rolling a six is 1 and since there are six sides to a die and it's

equally likely that the die will landy on any of these sides, the total number

of outcomes is 6.

So the probability of rolling a six is 1/6.

Answer:

C = 75 in

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.

This means that [tex]\mu = 69, \sigma = 2.9[/tex]

Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 69}{2.9}[/tex]

[tex]X - 69 = 1.96*2.9[/tex]

[tex]X = 74.7[/tex]

Rounded to the nearest inch,

C = 75 in

The scale factor is 4.

Important information:

From the given figure it is clear that:

DG = 2

D'G' = 8

The scale factor is:

[tex]k=\dfrac{D'G'}{DG}[/tex]

[tex]k=\dfrac{8}{2}[/tex]

[tex]k=4[/tex]

Therefore, the scale factor is 4.

Find out more about 'Scale factor' here:

https://brainly.com/question/19896181

Answer:

[tex]\displaystyle m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (5, 9)

Point (-3, 9)

Step 2: Identify

x₁ = 5, y = 9

x₂ = -3. y = 9

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

41

Step-by-step explanation:

Answer:

I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate

Step-by-step explanation:

if you add a graph, ill edit my answer

hope this helps!

Answer:

A. obtuse

Step-by-step explanation:

This is because in an obtuse angled triangle one of its angle is greater than 90° and here angle RQS = 112° which is greater than 90°, so it's a obtuse triangle.

Answer:

A. obtuse triangle

Step-by-step explanation:

the degree of RQS is greater than 90º

Answer:

Side QR is congruent to Side XY.

Side RS is congruent to Side YZ.

Side SQ is congruent to Side ZX.

Angle Q is congruent to Angle X.

Angle R is congruent to Angle Y.

Angle S is congruent to Angle Z.

Step-by-step explanation:

Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.

Answer:

plot 1 on the y axis first, go up one point, to the right 3, then keep this pattern going

Step-by-step explanation:

next plug in x values (1/3x)

D= domain, which is located on the x axis

for this reason, substitute D values for x

Answer:

yes

Step-by-step explanation:

because if you multiply 6 and n it is 6n and 6 x 3 are 18 but subtract 4 and it is correct

Answer:

Step-by-step explanation:

This is isosceles as 2 sides marked equal and it has 135° angle which is obtuse as is between 90° and 180°

Correct option is

This is right triangle and all sides have different lengths.

Correct option  is

Answer:

y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

y = -3x - 1

1. Perpendicular line needs the opposite (reciprocal) of the slope.

             reciprocal of -3 is -1/3, slope 1/3.                    y = 1/3x + b

2. Now find the b (y-intercept).                                     1 = 1/3(-1) + b

                                                                                       1 = -1/3 + b

                                                                                 + 1/3  +1/3

                                                                                    1 1/3 = b

3. Answer         y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]

cAnswer: its c

Step-by-step explanation:

Answer:

Both, you and your friend, are correct.

Step-by-step explanation:

5 P 5 = 5!

A shortcut I learned is that in the permutation equation nPn when n is the same on both sides, it is equal to if you used factorial, n!.

Answer:

Answer:

I don't know if you need help, but the answer to the question in the picture is indeed A. :)

Answer:

Yes, this is a parallelogram

Step-by-step explanation:

Answer:

it could be the width is 8 and the length is 3

Step-by-step explanation:

3 x 8= 24 hope this helps

Answer:

Step-by-step explanation:

7/12 / 3/10 = 35/

18

= 1 17/

18

≅ 1.9444444

Answer:

B = 243°

Step-by-step explanation:

Full revolution = 360°

360 - 117 = 243

Answer:

243 degrees

Step-by-step explanation:

The angle of a full circle = 360 degrees

360 - 117 = 243

Answer:

below

Step-by-step explanation:

If line C is parallel to another line, they will have the same slope. so calculate the slope first:

8-2/8-0=3/4(simplified)

and thats it

Answer:

the answer is 17

Step-by-step explanation:

2w-10=24

10+24=34

34/2=17

so w=17

Answer:

w=17

Step-by-step explanation:

Answer:

136 units²

Step-by-step explanation:

5x7=35

5x7=35

6x7=42

1/2(4)(6)=12

1/2(4)(6)=12

35+35+42+12+12=136

Answer:

29

Step-by-step explanation:

Answer:

The answer is 29

Answer:

The area of the triangle is 9 and the area of the regtangle is 54 so when you add them you will get 63 i hope it will help!