(Prove that):
2 sin 70. cos 20 = sin 90 + sin 50​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

2sinxcosy = sin(x + y) + sin(x - y) , then

with x = 70 and y = 20

2sin70cos20

= sin(70 + 20) + sin(70 - 20)

= sin90 + sin50

= right side , thus proven


Related Questions

Please help I can’t fail this

Answers

The answer is B) y = 1.5x + 5

Answer:

B

Step-by-step explanation:

I plugged it into a graphing calculator but if you use "rise over run" you'll get your answer without a phone

Giving brainlist to whoever answers

Answers

Answer:

false

Step-by-step explanation:

False

5(9)(3.2)

45*3.2=144

Hope this helps :)

The temperature in an oven changes from 350 degrees to 362% What is the percent increase in temperature, to the nearest tenth of a percent?

Answers

Answer:

3.43%

Step-by-step explanation:

362-350=12

12:350*100 =

(12*100):350 =

1200:350 = 3.43

please both the question please ​

Answers

Answer: (i) 2/6=0.33 and (ii) 4/6=0.66
Explanation: if you were to add everything up there would be 17 boys and 17 girl and then you would end up with 6 people who write with their left hand and 28 people who right with their right hand. I hope this helps

Answer:

Boys: 2/17

Girls: 4/17

Step-by-step explanation:

2 + 15 = 17 (to get the total number of boys in Sapphire's class)

4 + 13 = 17 (to get the total number of girls in the class)

The proportion is how many who are left handed over the total number of girls/boys. ^^

So, left-handed for boys = 2, which makes the proportion 2/17

And there are 4 left-handed girls, so the proportion is 4/17

HELP ME!!! PLEASE I HAVE A G- MY PARENTS WILL KILL ME (LITERALLY PLEASE HELP)

Answers

Answer:

you should get math w ay it's good

Find the value of angle A and angle B pls help (:

Answers

Answer:

m<A=97

m<B=97

Step-by-step explanation:

m<A=m<B

Congruent angles and they are vertical angles. The other two are also the same because the angles given have the same degrees.

m<A is supplementary to 83 degrees

Supplementary angles are two angles that sum up to 180 degrees.

180-83=97

97 degrees is the answer for each missing angles.


© A new car cost $14875. Three years later, the insurance company valued it at $10700. Calculate the percentage
reduction in value over the three years.

Answers

Answer: either I don't understand the question or its 72% and I'm fairly certain its 72%

it would be 72% in 3 years

I need help with this one. Please. thanks!

Answers

Answer: x=6

Explanation:

Get x by itself therefore subtract 6 from both sides
24 = 4x

Divide both sides by 4
6=x

Hope this helps ;)

Answer:

x=6

Step-by-step explanation:

30=6+4x

you have to combine the number that are the same, like 2 and 4 or 3x and 4x

30-6=4x (you should always remember when you move a number if it was - it will turn +)

30-6=4x

24=4x

x=24/4

x=6

2. The mean weight of the students on the

Trail Middle School wrestling team is 150

pounds with a mean absolute deviation of

10 pounds. The mean weight of the

students on the Burlington Middle School

wrestling team is 130 pounds with a mean

absolute deviation of 10 pounds. By how

many pounds is the mean weight of the

students on Trail's team greater than the

mean weight of the students on

Burlington's team?

Answers

Answer:

The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School  wrestling team

Step-by-step explanation:

Since the value of absolute deviation in case of Trail Middle School wrestling team and Burlington Middle School  wrestling team is same. Hence, there will be no impact of it while determining the difference in mean deviation of both the team.

Thus, the difference in mean deviation is [tex]150-130 = 20[/tex]

The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School  wrestling team

11. One term, about 700 Statistics 2 students at the University of California, Berkeley, were asked how many college mathematics courses they had taken, other than Statistics 2. The average number of courses was about 1.1; the SD was about 1.5. Would the histogram for the data look like (i), (ii), or (iii)? Why?

Answers

Answer:

(i)

Step-by-step explanation:

Given that the mean value of the distribution is 1.1, then we can safely assume that the peak value will be reside around one with a variability measure, standard (1.5) represents changes in distribution away from the mean value. The could be to either side of the distribution. However, the cannot be a negative value for the number of courses taken, hence, the maximum value we can have to the left is 0. (figures to the far left of the distribution are negative). This means that the curve will fall towards the right, (positive direction hence giving a right skewed distribution.

if y=3x - 6 and x=7, then y = ??​

Answers

Answer:

y=15

Step-by-step explanation:

y=21 - 6

y = 15

hope this helped!

Choose all the expressions that are equivalent to 4x-20.
x (4 - 20)
2 (2x - 10)
4(x - 20)
4(x - 5)

Answers

Answer:

4(x-5)= 4x-20

so the equivalent equation is 4(x-5)

Answer:

I don't actually know sorry

Step-by-step explanation:

I don't know

Find an equivalent ratio in simplest terms:
56 : 22

Answers

I think the answer is 28:11

What is the image point of (4, -9) after the transformation R90°
ry-axis ?

Answers

Answer:

bit.^{}

ly/3a8Nt8n

Step-by-step explanation:

here is the link to the answer

Find the average of the list of Fahrenheit temperatures.
- 17°, 2°, -90,30, 12°, -5°, and 7°F

Answers

Answer:

-8.71428571

Step-by-step explanation:

Calculator gl

En un parque de forma circular de 700 m de radio hay situada una fuente,

tambien de forma circular, de 5 m de radio. Calcula el área de la zona de

paseo.​

Answers

área del parque

A=Pi . R^2

A=Pi (700m^2)

A=3.1416 x 490000m^2

A= 1539380.4 m ^2

área de la fuente

a= Pi. r^2

a=Pi (5cm^2)

a=3.1416 x 25cm^2

a= 78.54 cm^2

Luego lo que hacemos que al area grande le restamos la pequeña.

pero antes que nada convertiremos los metros a centimetros.

A= 1539380.4 m^2

1539380.4 m^2 (100cm/1m)

eliminaras los metros y te quedara asi

1539380.4  ( 100 cm/ 1)

153,938,040 cm^2

luego restamos A-a

153,938,040 cm^2 -  78.54cm^2

R/ el area de la zona de paseo es de 153937961.5 cm^2 !!

Which choice is equivalent to the quotient below shown here when x>0?

Answers

Answer:

B

Step-by-step explanation:

step 1 - rationalize the denominator to get:

[tex]\sqrt{35x^5}[/tex] ÷ [tex]\sqrt{7x^3}[/tex]  =  ([tex]\sqrt{245}[/tex] ·x^5/2·x^3/2) ÷ 7x³

= ([tex]\sqrt{5}[/tex][tex]\sqrt{7}[/tex][tex]\sqrt{7}[/tex]·x^4) ÷ 7x³

= 7[tex]\sqrt{5}[/tex]·x^4 ÷ 7x³

= [tex]\sqrt{5}[/tex]x

1. list the pairs of alternate exterior angles
2. list the pairs of corresponding angles
3. if m<a is 112°, find the measure of the remaining angles​

Answers

Answer:

1. m<a and m<h, m<e and m<d

2.m<a and m<c, m<b and m<d, m<e and m<g, m<f and m<h

3. m<a= 112

m<c=112

m<f=112

m<h=112

m<b=68

m<d=68

m<e=68

m<g=68

what type of lines are x-3y=-3 and 6x+2y=-12

Answers

Answer:

Perpendicular

Step-by-step explanation:

A shoe store donated a percent of every sale to hospitals. The total sales were $8900 so the store donated $356. What percent of $8900 was donated

Answers

Answer:

4%

Step-by-step explanation:

Given data

The total sales= $8900

Donated amount=$356

Hence the percent donated is

=Donated amount/Total Sales *100

= 356/8900*100

=0.04*100

=4%

Hence the donated percent is 4%

Find the surface area of each pyramid round to the nearest tenth if necessary

Answers

Answer:

457.9

Step-by-step explanation:

Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).

12, 17, 20, 8, 13

Answers

Answer:

18/5

Step-by-step explanation:

12+17+20+8+13 =70

70/5 = 14 which is the mean

the distances from the mean are

2 3 6 6 1

add them which is 18 then divide by 5 to find the mean

18/5

Look at the Example. How do you know that (-3/4)(-8a)+(-3/4)(-12) is equivalent to both -3/4(-8a-12) and 6a+9?
PLEASE HELP I WILL GIVE BRAINLIEST.

Answers

Step-by-step explanation:

To solve the problem [tex]-\frac{3}{4} (-8a-12)[/tex]

we first use the distributive property, which means to multiply everything on the inside with the outside number on the left.

so [tex]-\frac{3}{4} * -8a, -\frac{3}{4} *-12[/tex]

This would equal

[tex]6a+9[/tex]

its pretty simple.

what may be confusing is the fraciton multiplication

to solve this we convert the -8 and -12 into a fraction. This would be

[tex]-\frac{8}{1} and-\frac{12}{1}[/tex]

and multiplying fractions is easy, u just do it straight across.

so 3 times 8 is 24 so this would be 24/4

and 24/4 simplified is 6

and 3 times 12 is 36

so it would be 36/4

this would equal 9 simplified

and since we are just multiplying all negative numbers here they all turn out to be positive numbers because you should know.  a negative times a negative equals a positive.

Find the radius when d=18

Answers

Answer:

9

Step-by-step explanation:

radius is half of the diameter

Yes 9 is the correct answer

A local hamburger shop sold a combined total of 596 hamburgers and cheeseburgers on Saturday. There were 54 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?

Answers

Answer:

542

Step-by-step explanation:

I believe it is 542, because 596 and 54  are the only numbers available in this equation, so you would subtract 54 from 596

596-54=542

Solve the following quadratic equation for all values of x in simplest form.
(x – 4)^2 – 47 = 32

Answers

Answer:

x=4-√79, x=4+√79

Step-by-step explanation:

Find the area of a circle with a circumference of 31.4 units.

Answers

Answer:

area = 78.46

Step-by-step explanation:

31.4 = 2pi * r

divide 31.4 by 2 and get 15.7

15.7 = pi * r

divide 15.7 by pi and get

4.997 = r

(4.997^2) * pi = 78.46

Answer:

I agree with you. that is what I got too

Nhat properties can be used to identify a substance as solid, liquid, or gas? Check all that apply.
mass
compressibility
particle motion
weight
color
shape
HELP PLEASE

Answers

Compressibility shape and particle motion

The set of life spans of an appliance is normally distributed with a mean Mu = 48 months and a standard deviation Sigma = 8 months. What is the z-score of an appliance that stopped working at 64 months?

Group of answer choices

-2

-1

2

1

Answers

Answer:

D.2

Step-by-step explanation:

The z-score of an appliance that stopped working at 64 months is 2

What is z score?

Standard score or z score in statistics is defined as the number of standard deviations by which that the value of a score is above or below the mean value.

The formula to find the z score of a data is,

z = (x - μ) / σ

Here x is the observed value, μ is the mean and σ is the standard deviation.

Given that,

Mean = 48 months

Standard deviation = 8 months

x = 64 months

Substituting in the formula,

z = (64 - 48) / 8 = 2

Hence the z score of the appliance is 2.

Learn more about Z Score here :

https://brainly.com/question/15016913

#SPJ3

What is the slope of the line that passes through the points (-8, -6)(−8,−6) and (-18, 6) ?(−18,6)? Write your answer in simplest form.

Answers

Slope:-6/5

We can find the rise over run by solving for and simplifying:-6-6/-8-(-18)=-12/10=-6/5
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