If sinA 3/5 and cos B 5/13 , then find the value of sin (A+B)​

Answers

Answer 1

Answer:

[tex] \frac{63}{65} [/tex]

Step-by-step explanation:

We have to find the value of sinB & cosA . So to find the value of sinB , let's use the identity

[tex] { \sin }^{2} b + { \cos }^{2} b = 1[/tex]

By using the identity above gives

[tex] { \sin}^{2} b + ( { \frac{5 }{13} })^{2} = 1[/tex]

[tex] = > { \sin}^{2} b = 1 - \frac{25}{169} = \frac{144}{169} [/tex]

[tex] = > \sin(b) = \sqrt{ \frac{144}{169} } = \frac{12}{13} [/tex]

Now to find the value of cosA , we'll use the same identity.

[tex] {( \frac{3}{5} })^{2} + { \cos}^{2} a = 1[/tex]

[tex] = > { \cos }^{2} a = 1 - \frac{9}{25} = \frac{16}{25} [/tex]

[tex] = > \cos(a) = \sqrt{ \frac{16}{25} } = \frac{4}{5} [/tex]

Now we know that

[tex] \sin(a + b)=\sin(a)\cos(b)+\sin(b) \cos(a) [/tex]

So value of sin(a+b) =

[tex] \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} [/tex]

[tex] = \frac{3}{13} + \frac{48}{65} [/tex]

[tex] = \frac{63}{65} [/tex]


Related Questions

After the movie premiere 99 out of 130 people surveyed said they liked the movie.
What is the experimental probability that the next person surveyed will say he or she liked the movie?
What is the experimental probability that the next person surveyed will say he or she did not like the movie?

Answers

Answer:

99 over 130 multiplied by 100 over 1

18. Find the missing length indicated.
Find HJ
x+27
X+ 17

Answers

Answer:

The answer ia -30. Hope i help

Answer:

The answer is 30 hope it helps

What’s the answer lol

Answers

Answer:

a i think

Step-by-step explanation:

The man above me has the power so it’s A may the force be with u

I could really use some help with this!!!

Answers

with what do you need help with??

Which expression is equivalent to the one below? 6 ÷ 5

A 6:1/5
B 5:1/6
C 5/6
D 30​

Answers

Answer:

option A

Step-by-step explanation:

6:1/5 can also be written as 6/1÷5 which equals to 6÷5

Answer:

Option A is equivalent to the expression.

Which of the following statement is TRUE?

A. THE ONLY FACTORS OF 9 ARE 1 AND 9

B. THE ONLY FACTORS OF 10 ARE 1,2 AND 10

C.THE ONLY FACTORS OF 11 ARE 1 AND 11

D.THE ONLY FACTORS OF 12 ARE 1,2,6, AND 12.


PLEASE HELP!!!!!!!

Answers

Answer:

C.

Step-by-step explanation:

11 is a prime number, meaning that its only factors are 1 and itself.

Answer:

c

Step-by-step explanation:

 9        10      11        12  

1,9       1,10    1,11     1,12

3,3      2,5               2,6

                              3,4

4. The perimeters of the rectangle and the triangle below are equal. Find the value of x.​

Answers

Answer:

x=6

Step-by-step explanation:

the perimeter of the rectangle is equal to 2x + 16.

the perimeter of the triangle is equal to 3x + 10.

since they are equal now you can solve by saying 2x + 16 = 3x + 10

Now you solve for x

2x + 16 = 3x + 10

2x + 6 = 3x

6 = x

Help me please, which postulate proves these two triangles are congruent?

Answers

Answer:

C

Step-by-step explanation:

These triangles do look congruent. However, in fact, we don’t have enough information. We need 3 parts of a trainable to be shown congruent for it to be congruent, including HL congruence (because this requires a right angle). In the diagram, only 2 sides are shown to be congruent. This isn’t enough information to prove that the triangles are congruent. Therefore, it is C.

I hope this helps! :)

help⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️​

Answers

Answer: 2/1/3

Step-by-step explanation:

7. The path of a baseball after it has been hit is modeled by the function h = -0.0032d? + d + 3, where his
the height in feet of the baseball and d is the distance in feet the baseball is from home plate. Find the average
rate of change for the baseball between d = 100 and d = 200.

Answers

Answer:

[tex]A = 0.04[/tex]

Step-by-step explanation:

Given

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

Required

Determine the average rate of change for d = 100 to 200

Average rate of change (A) is calculated as follows:

[tex]A = \frac{h(b) - h(a)}{b - a}[/tex]

In this case:

[tex]b = 200[/tex] and [tex]a = 100[/tex]

So: [tex]A = \frac{h(b) - h(a)}{b - a}[/tex] becomes

[tex]A = \frac{h(200) - h(100}{200 - 100}[/tex]

[tex]A = \frac{h(200) - h(100)}{100}[/tex]

Solving h(200)

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

[tex]h(200) = -0.0032*200^2 + 200 + 3[/tex]

[tex]h(200) = 75[/tex]

Solving h(100)

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

[tex]h(100) = -0.0032*100^2 + 100 + 3[/tex]

[tex]h(100) = 71[/tex]

So: [tex]A = \frac{h(200) - h(100)}{100}[/tex] becomes

[tex]A = \frac{75 - 71}{100}[/tex]

[tex]A = \frac{4}{100}[/tex]

[tex]A = 0.04[/tex]

Hence, the average rate of change is 0.04

I need help with this practice sheet
I'm confused with this​

Answers

End behavior is when the graph goes left or right, does it go up or down.

In this graph, when it goes left it goes up, and when the graph goes right it goes down

as x => - infinity, f(x) => Infinity

as x => Infinity, f(x) => - infinity

The leading coefficient is negative.

The degree is even.

Identify which line from the graph the following right triangles could lie on

Answers

Answer:

There is no graph.

Please, What do you think of this. Please I need help on this

Answers

Answer:

C

Step-by-step explanation:

Since Year 3 and 4 have the highest students just subtract 33-25 and you get 8

Help me please


Jayla’s goal is to write a 100 page book of poetry. She has already written 30 pages. Each day she writes 10 more pages. How many days will it take her to finish the book?

Answers

Answer:

100

Step-by-step explanation:

100-30=70

70÷10=7

7 days or 1 week

if it is not right please let me know

Answer:

7 days

Step-by-step explanation:

100 - 30 = 70

This means that she still needs to write 70 pages.

70/10 = 7


Identify the slope and y intercept of the function y= -5x + 4.
A. The slope is 4.
The y-intercept is (0,5).
B. The slope is 4.
The y-intercept is (0, -5).
C. The slope is -5.
The y-intercept is (0,4).
D. The slope is 5.
The y-intercept is (0,4).

Answers

Formula of slope:

y=mx+b

Answer:

C.

Answer:C. The slope is -5.

The y-intercept is (0,4).

Step-by-step explanation:

A. The slope is 4.

The y-intercept is (0,5).

B. The slope is 4.

The y-intercept is (0, -5).

C. The slope is -5.

The y-intercept is (0,4).

D. The slope is 5.

The y-intercept is (0,4).

PLEASE HELP i’ll mark brainliest!!

Answers

Answer:

[tex] { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x - 7 = 8x \\ \\ {x}^{2} + 2x - 8x = 7 \\ \\ {x}^{2} - 6x = 7 \\ \\ {x}^{2} - 6x + {3}^{2} = {3}^{2} + 7 \\ \\ {(x - 3)}^{2} = 9 + 7 \\ \\ { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

can someone check if I'm right?​

Answers

Answer:

your right!!!

Step-by-step explanation:

I think it’s correct

Simplify the expression.
3(2+q)+15 simplified is

Answers

Answer:

3q+21

Step-by-step explanation:

Answer:

brainliest plsssss

Step-by-step explanation:

Let's simplify step-by-step.

3(2+q)+15

Distribute:

=(3)(2)+(3)(q)+15

=6+3q+15

Combine Like Terms:

=6+3q+15

=(3q)+(6+15)

=3q+21

2 tenths= ? Hundredths

Answers

Answer:

20 hundredths

2 tenths equal 20 hundredths.

Hope this helps! :D

Answer:

20 hundredths

Step-by-step explanation:

I hope this helps you!

Do you give Brainlliest?

Factor the expression 8x + 36

Answers

Answer:

4 (2x +9)

Step-by-step explanation:

Let me know if I'm wrong pls

for a new neighbor, 100 acres of land will be split into 10 lots. How many acres will each lot have?

Answers

10 I believe is the answer

Answer:

Your answer is 10 cause 100 divided by 10 is 10

Step-by-step explanation:

What is the volume of the following cylinder?

A.) 1.695.6 cm 3
B.) 565.2 cm 3
C.) 06.782.4 cm
D.) 282.6 cm 3

Answers

B I used my really good calculator

Answer:

A

Step-by-step explanation:

thanks

MY HRW ‼️ Solve the equation. You may find using algebra tiles helpful in solving this problem.
X +6=-X-6

Answers

Answer:

x=-6

Step-by-step explanation:

x+6=-x-6

(-6)+6=(6)-6

0=0

Answer:

Solve the equation. You may find using algebra tiles helpful in solving this problem.  X +6=-X-6               X= -6

Please helppppppopppp

Answers

Answer:

a..

Step-by-step explanation:

s - 185 = -22
UwU help meh

Answers

Answer:

I believe you solve for s, the answer is s=136, please let me know if I am incorrect.

The answer is 163.
s- 185= -22
You would have to get the variable (s) on its own, so add 185 to both sides.
s= -22 +185= 163

how to graph y=-8/3x+9

Answers

Slope=−
2.000
5.333

=−2.667
x−intercept=
8
27

=3.37500
y−intercept=
3
27

=9


Step-by-step explanation:

this is the equation for a line in slope-intercept form

the y-intercept is 9, so find (0,9) on the graph

then, the slope is -8/3 (think "rise" over "run"), so from the point (0,9) you have to count down 8 (for -8) and then to the right 3 (for +3). from this point, you can now repeat the pattern of counting down 8 and right 3 and making points to connect.

when at least two points are connected, you have a line and that is your graph

hi I really need help with this question

Plz show ur work

Answers

Answer:

x>-24[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

-[tex]\frac{2}{5}[/tex]x<9/10+9

-[tex]\frac{2}{5}[/tex]x<99/10

x>99/10*-5/2

A map uses a scale of 1 centimeter = 200 meters.
If it is 5 kilometers between two locations, how many centimeters on the map is it?

Answers

Answer:

40 centimeters

Step-by-step explanation:

A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?

Answers

Answer:

scalene

Step-by-step explanation:

no sides are the same

graph the image of triangle PQR after a reflection across the line y = 2​

Answers

Answer: Refer to the diagram below

P ' is at (-7, 9)Q ' is at (1, 9)R ' is at (-6, 4)

================================================

Explanation:

The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.

The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.

Answer:

If we draw the line of y=2 and if we find the reflections we have the new points of...

R(-6,4)Q(1,9)P(-7,9)

Now all we have to do it plot these points, and then we have the triangle PQR

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