given a is equal to 60 degree and 30 degree prove that sin a + b is equal to sin a cos b + cos a sin b ​

Answers

Answer 1

Answer:

A = 60 and B = 30  

Now, A + B = 60 + 30 = 90  

Also, A – B = 60 – 30 = 30  

sin (A + B) = sin 90 = 1  

sin A cos B + cos A sin B = sin 60 cos 30 + cos 60 sin 30


Related Questions

PLEASEEEE HELPPP SOMEONEEE
The number of texts Lee and John received each day for 8 days is shown. Lee's Text messages: (36, 31, 33, 35, 40, 29, 34, 34)
John's Text messages: (20, 15,45,5,23,22, 12, 18)
Lee's mean number of texts per day is 34 and John's mean number of texts per day is 20.
What statement involving MAD (mean absolute deviation) is true?
A. Lee has less variation in the number of text messages per day than John because Lee's MAD of texts per day is less than John's.
B. Lee has less variation in the number of text messages per day than John because Lee's MAD of texts per day is greater than John's.
C. Lee has greater variation in the number of text messages per day than John because Lee's MAD of texts per day is less than John's.
D. Lee has greater variation in the number of text messages per day than John because Lee's MAD of texts per day is greater than
John's

Answers

I think the answer is A

Answer:

a

Step-by-step explanation:

We in the same boat sis

someone help me i don’t understand this !

Answers

Answer: put it in the calculator with the () and they will give it to you right like you need it

Step-by-step explanation: :)

Answer:

I help you

Step-by-step explanation:

I help you _GUTI_ discord

How do you do this pls I need help

Answers

Answer:

416 cm2

Step-by-step explanation:

The formula for surface area of prism.

2Ab+ Pb*h

2(1/2)(12)(8)+ 32*10

= 96+320

= 416 cm2

if my answer helps please mark as brainliest.

In the figure above, ABCD is a cyclic quadrilateral. What ja the value of x in degrees?

Answers

Answer:

Step-by-step explanation:

Remark

The diagram makes the line AB look like it is tilted a bit to the right. I'm going to assume that isn't right. AB extended is a straight line. ADC is supplementary to the 80o angle.

Solution

<ADC + 80o = 180                   They are on the same straight line

<ADC = 180 - 80                      Subtract 80 from both sides

<ADC = 100o

Opposite angles of a cyclic quadrilatral are supplementary

<ADC + <ABC = 180                Property of cyclic quadrilaterals

100 + <ABC = 180                    Subtract 100 from both sides

<ABC = 80 degrees.

<x + <ABC = 180

<x + 80 = 180

<x = 100 degrees

Discussion

I cannot be sure what the arc at B is equal to. Is the arc = 80 o or is <ABC = 80. And it is unresolvable. My suggestion is that you ask your teacher.

help me out, thank you !

Answers

Answer: 12.4

Explanation: a ^2 +b^2 = c^2
7^2 + 10.2^2 = c^2
49 + 104.04=c^2
153.04 =c^2
c ≈ 12.37
Round: 12.4

all the angles in the angles in the figure are right angles and lengths are measured in centimeters. what is the area , in square centimeters, of the figure?
58
62
66
70

Answers

Answer:

62  square cm

Step-by-step explanation:

The whole rectangle    12X10 = 120

Now subtract 2 restangles:

5x8 =40

6x3 =18

30+18= 58

120-58 =62

Answer: 62

Step-by-step explanation:

Can someone please help me

Answers

Answer:

1/6

Step-by-step explanation:

he has 1 chance to roll 6 different numbers

Hey guys is this correct?.

Answers

Answer:

Step-by-step explanation:

A line with a slope of -5 passes through the point (-3, 1). Write the
equation of the line in slope-intercept form.

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Answer:

1/2

Step-by-step explanation:

The area of this shape is

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Answer:

Step-by-step explanation:

Answer:

169.4ft^2

Step-by-step explanation:

Area of right triangle= base x height /2

Area of right triangle= 24.2x (7x2) /2

Area of right triangle= 24.2x (14) /2

Area of right triangle= 24.2x (14) /2

Area of right triangle= 169.4ft^2

1) ABC is a right-angled triangle.
AB = 50 cm.
Angle ABC= 24°
Work out the length of BC.
Give your answer correct to 1 decimal place.

Answers

Answer:

112.3

Step-by-step explanation:

(2N/6N+4) (3N+2/3N-2

Answers

The final answer is N/3N-2.
Do you need all the process?

Need help take your time and thx

Answers

Answer:

if you factor it the answer is (x−5)(x−9)

A magazine mailed a survey to 3,975 subscribers. Twenty-six percent of the subscribers answered the survey. About how many people answered the survey?

Answers

1003.5 people answered the survery. prob round it up to 1004

Rewrite the logarithmic equation: log4x = 5 in exponential form.

Answers

Answer:

4^5=x

x= 1045

Step-by-step explanation:

4 to the power of 5 is 1045:)

Answer:

The base of the log is the same as the base of the exponential form and in our case the base is 4. The value of the exponent is what the log is equal too and in our case it is 5. We already know the base is 4 and we want to raise it to the exponent of 5 so we get

x=45 *five on top*

x=1024

Step-by-step explanation:

Can anyone solve for x? Please.

Answers

Answer:

[tex] \frac{20}{24} = \frac{22}{x + 22} \\ 24 \times 22 = 20x + 20 \times 22 \\ 20x = 4 \times 22 \\ x = 88 \div 20 = 4.4[/tex]

help me pls
5x^2-45=0

Answers

Step-by-step explanation:

5x²-45=05x²=45x²=9x=√9x=3

hope it helps.

Answer:

x=±√9 or x= 3, x=-3

Step-by-step explanation:

The problem requires us to find the x.

So we must isolate the variable, as so-

[tex]5x^2-45=0\\5x^2=45[/tex] (add 45 to both sides)

Now we can divide both sides by -

[tex]5x^2=45\\x^2=9[/tex]

Now we must square root both sides to find the root of x.

[tex]\sqrt{x^2} =\sqrt{9}[/tex]

x=±√9

or x= 3, x=-3

can you guys help me with this

Answers

Answer:

BD = 3.2.

CD = 2.4.

Step-by-step explanation:

By Pythagoras:

AB^2 = 3^2 + 4^2 = 25

AB = 5.

Triangles ADC and ACB are similar, so

AC / AB = AD / AC

3 / 5 = AD / 3

AD = 3*3/5

AD =  9/5 = 1.8

So BD = 5 - 1.8

= 3.2.

CD^2 = AC^2 - AD^2 (Pythagoras)

CD^2 = 3^2 - 1.8^2 = 5.76

CD = 2.4.

Need help with algebra fast plz it’s due in 2 hours and can work be included if not that fine I just want the answer

Answers

[tex] \binom{ 1/3}{-2/3} \binom{1/3}{-1/6} [/tex]

Find the variable in the figure. The diagram is not to scale.
Volume=16π

Answers

r = 2

The volume of a cone can be found using the following equation

[tex]V = r^2\frac{h}{3} \pi[/tex]

After putting in the information that we already know we get

[tex]16\pi = r^2\frac{12}{3} \pi \\16\pi = r^2(4) \pi \\4 = r^2\\ r = 2\\[/tex]

For proof's sake, we can try the equation again with the information we know

[tex]V = r^2\frac{h}{3} \pi \\V = 2^2\frac{12}{3} \pi \\V =4(4) \pi \\V = 16\pi[/tex]

answer dis or somethinggg

Answers

Answer:

ok just did now give be brainlyest

Step-by-step explanation:

Answer:

ur mom ur mom ur mom ur mom ur mom ur mom ur mom

Step-by-step explanation:

Please answer this question correctly

Answers

Answer: 44

EC is basically EF times 2

Answer: EC=44

Step-by-step explanation:

Pleas help grade depends on it

Answers

Answer:

C. 62x+239=672

Step-by-step explanation:

X represents hours , which means 62 miles per hours equals 62x. Since Ed has already traveled 239 miles the opposite would be to add in order to subtract in the equation. 672 would be the equivalent of traveling 672 miles in x hours.

Answer for the math: C

please help tysm ! Giving brainliest to best answer

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Step-by-step explanation:

here is your answerrrrrrrrrrr

What is the correct angle measure 42° 38° 142° 158°

Answers

Answer:

142°

Step-by-step explanation:

If it's goes from right to left, you read bottom numbers.

if it goes from left to right, you read the top numbers.

write the number in word form .0001

Answers

Answer:

0.0001 in word form is ten thousandth

The chance of randomly selecting a red marble from a bag is 3/10. What is the probability of not selecting a red marble.

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The correct answer is 7/10

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!

Answers

Answer:19

Step-by-step explanation:

7x3=21

21-2=19

Answer:

total of 7 fabric needed but 2 are given so:total fabric minus 2 is; 7 minus 2 is 5 needed

Cual es la potencia de base 3 que corresponde al producto 3 elevado a 3,3elevao a menos 2y 9 elevado a menos

Answers

Hehe r shahwbe ruehebrusiwb radiate r turbo ruw

PLEASE HELP
NO LINKS

Answers

Answer:

The first blank is $640.30

The second blank is 670

Step-by-step explanation:

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