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

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

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

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

can someone check if I'm right?​

Answers

Answer:

your right!!!

Step-by-step explanation:

I think it’s correct

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

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

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?

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.


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).

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

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

I could really use some help with this!!!

Answers

with what do you need help with??

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

Answers

Answer: 2/1/3

Step-by-step explanation:

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]

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:

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

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

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

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

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.

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! :)

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

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

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

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

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:

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

Please helppppppopppp

Answers

Answer:

a..

Step-by-step explanation:

Factor the expression 8x + 36

Answers

Answer:

4 (2x +9)

Step-by-step explanation:

Let me know if I'm wrong pls

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

Answers

Answer:

There is no graph.

Other Questions
How can taxes be useful to a state? This my homework and I'm bad at math if you can take the time please help me out f(x)= (x-5)to the power of 2 +12 I need the vertex Axis of symmetryDomain Range Giving brain liest for who ever does all, IN YOUR OWN WORDS< please and thak you i am giving brain liest :) i need a pro to help me lol Arizona, New Mexico, and Nevada must honor the Native American reservation treaties drawn up by the..........government for the Native American Nations. answer the quesion please Why is it an important property for water to be less dense as a solid? pleassssssssse hellpp what is 5x + 3y = 12 written in slope intercept form 8. 1/6 + (-7/9) 9. 11 5/7 + 8 1/710. 3/12 x 4/21 The temperature is 2 F and drops to 15 F overnight. Write and then evaluate a subtraction expression to determine the change in temperature. Merry Christmas please help Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation. What does the graph show? can someone help me please serious people only Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and largecups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of eachtype did she sell? Audrey and chase are 22.5 miles apart on a path when they start moving towards each other. Chase friends and a constant speed of 6 mph, in Audrey works at a constant speed of 3 mph. How long does it take onto chase and Audrey meet? Kate and Sam are using a scanning electron microscope to study photosynthesis in algae. Which is a benefit of this type of microscope compared toa light microscope? How many 1/5s are there in 8/10?Please answer right away helpers!!!The time is ticking by now. What type of reaction in the diagram?B.Fission,because the reaction absorbed energyC.Fusion,because the reaction formed heavier nucleiD.Fission,because the reaction formed lighter nuclei What kind of geographical landscape dominates Egypt? can sm1 write me a PERSUASIVE ESSAY to convince why xmas is the best holiday ! 3 body paragraphs (main points) i l y