sin70° sin130° sin170°=1/8​

Answers

Answer 1
Sin 10° Sin 50° sin 70° = 1/8
Now we multiply upper & bottom both side 2/2

then

➡ 1/2 (2sin 10° sin50° 70°)

➡ 1/2 sin10°( 2sin70° sin50°)

we know that
2 sinA sinB = cos (A-B) - cos (A+B)

Then

➡ 1/2 sin 10° ( cos 20° - cos 120°)

➡ 1/2 sin 10° ( cos 20° - cos (90°+30°))

➡ 1/2 sin 10° ( cos 20° +1/2)

➡ 1/2 sin 10° cos 20° +1/4 sin 10°

again we multiply both upper & bottom side 2/2 so

➡ 1/4 ( 2 sin 10° cos 20°). + 1/4 sin 10°

we know that
2 sinA cos B = sin (A+B) - sin (A- B)

➡ 1/4 (sin 30° - sin 10°) + 1/4 sin 10°

➡ 1/4 sin 30° - 1/4 sin 10° + 1/4 sin 10°

we know sin 30° = 1/2

➡ 1/4 × 1/2

➡ = 1/8 hence proved

Related Questions

6 Find the value of x' and each angle

Answers

The value of x=10 and m∠SOP=50° and m∠ROQ=50°  .

When two straight lines intersect each other at a point then vertical angles are formed , there are two pair of vertically opposite angles and also , the vertically opposite angles are equal.

In the given question

m∠SOP = (5x)°      ...(i)

and

m∠ROQ = (4x+10)°    ...(ii)

and Since the angles m∠SOP  and m∠ROQ are vertically opposite , they will be equal .

On equating we get  ,

m∠SOP=m∠ROQ

Substituting the values  from equation (i) and (ii) we get ,

5x=4x+10

5x-4x=10

x=10.

Substituting the value of x in equation (i) we get ,

m∠SOP = (5*10)° = 50°

Substituting the value of x in equation (ii) we get ,

m∠ROQ = (4*10+10)° = (40+10)° = 50°

Therefore , the value of x=10 and m∠SOP=50° and m∠ROQ=50°  .

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Joey had $120 in his checking account. He used his debit card and bought himself a new Nike hoodie for $47. Then he withdrew $25 to pay for dinner at Fuzzy's. The next day he deposited a $50 check he got from his grandmother for his birthday. What is Joey's balance now? Which equation can be used to find Joey's balance?

Answers

Answer:

$120-$47-$25+$50 which is $98

Step-by-step explanation:

Hope this helps :D

Hit the crown :D

Answer:

B) 120 - 47 - 25 + 50

Step-by-step explanation:

he has a whole of 120 then spends 47 and 25 but then gains 50 so the equation is 120-47-25+50

A local little league has a total of 70 players, of whom 80% are right-handed. How many right-handed players are there?

Answers

Answer:

14 is the answer

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

if the value of c is negative, you would need zero pairs to model the factorization of the polynomial. the x-tiles on the board determine what the constants are in the factors. the product of these constants is equal to the value of c, so you would need positive tiles on one side of the x-squared tile and negative x-tiles on the other side to have opposite signs on the constants. opposite signs on the constants will result in a negative value for c when multiplying the factors.

Answers

Answer:

value of c is negative

constant are in factor bla bla.

Step-by-step explanation:

help please now i cant figure it out

Answers

Answer:

a. [tex]\frac{-11}{24}[/tex]

b. [tex]\frac{-3}{2} \\[/tex]

c. [tex]\frac{31}{7}[/tex]

d.  [tex]\frac{11}{16}[/tex]

11, 3, 31, 11 = code

Step-by-step explanation:

a. [tex]\frac{-1}{6}\\[/tex] * 2[tex]\frac{3}{4}[/tex] =

2[tex]\frac{3}{4}[/tex] = [tex]\frac{4*2+3 }{4}[/tex]=  [tex]\frac{11}{4}[/tex]

[tex]\frac{-1}{6}\\[/tex] * [tex]\frac{11}{4}[/tex] = [tex]\frac{-1*11}{6*4}[/tex] = [tex]\frac{-11}{24}[/tex]

b.  [tex]\frac{3}{16}[/tex] / [tex]\frac{-1}{8}[/tex] =

[tex]\frac{3}{16}[/tex] * [tex]\frac{8}{-1}[/tex] = [tex]\frac{3*8}{16*-1} \\[/tex] = [tex]\frac{24}{-16}[/tex] = [tex]\frac{-3}{2} \\[/tex]

c. [tex]\frac{-31}{56}[/tex] * [tex]\frac{-8}{1}[/tex] = [tex]\frac{31}{7}[/tex] (you can reduce 8 & 56 by dividing by 8: 56/8=7 & -8/8= -1)

d. 1 [tex]\frac{7}{8}[/tex] / 2[tex]\frac{8}{11}[/tex] =

1 [tex]\frac{7}{8}[/tex] = [tex]\frac{8*1+7}{8}[/tex] = [tex]\frac{15}{8}[/tex]

2[tex]\frac{8}{11}[/tex] = [tex]\frac{11*2+8}{11}[/tex] = [tex]\frac{30}{11}[/tex]

[tex]\frac{15}{8}[/tex] * [tex]\frac{11}{30}[/tex] = [tex]\frac{11}{16}[/tex] (you can reduce 15 & 30 by dividing by 15: 15/15=1 & 30/15 = 2)

If the geometric mean between two number is 8 and one of the numbers is 2, what is the value of the other number?​

Answers

Answer: 14

Step-by-step explanation: To find the mean you have to add the two numbers and divide by the amount of numbers (which is 2). 14 plus 2 is equal to 16. and 16 divided by two is equal to eight

When graphed in the (x,y) coordinate plane, at what point
do the lines x + y = 5 and y = 7 intersect?

A. (-2,0)
B. (-2,7)
C. (0,7)
D. (2,5)
E. (5,7)

Answers

I believe the answer is b.

It’s already giving you y which is 7 so you would just plug it into the equation and solve for x.

Solve: 67 = 19e^.07t

Help me find t please!

Answers

Answer:

Step-by-step explanation:

hope thsi helps

if θ is an angle in standard position and its terminal side passes through the point (-3,-4), find the exact value of \sin\thetasinθ in simplest radical form.

Answers

Answer:

Here it is given,terminal side passes through the point.
I assume you want to find sinθ?

We know that sinθ = opposite/hypotenuse and that our coordinate point is in Quadrant II. If we construct a right triangle with a height of -4 units and a length of -3 units from right to left, then the side opposite of θ is -3 and the side adjacent to θ is -3. We need to determine the hypotenuse, which can easily be solved with the Pythagorean Theorem:

opp² + adj² = hyp²
-3²+ (-4)² = hyp²
9 + 16 = hyp²
25 = hyp²
5 = hyp

Therefore, sinθ=3/5.

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A save percentage in lacrosse is found by dividing the number of saves by the number of shots faced. A
lacrosse goalie saved 7 of 11 shots. How many additional consecutive saves s must the goalie make to
raise his save percentage to 0.850?

Answers

Answer:

The goalie needs to make 16 more saves in a row.

Step-by-step explanation:

Let n be the number of additional saves needed.

[tex]\frac{7+n}{11+n}\geq 0.85[/tex]

[tex]7+n\geq 0.85(11+n)\\[/tex]

[tex]7+n\geq 9.35+0.85n[/tex]

[tex]0.15n\geq 2.35[/tex]

[tex]n\geq 15.66[/tex]

please help me with this

Answers

Answer:

Step-by-step explanation:

A bag of skittles contains 4 red skittles, 3 green skittles, 2 orange skittles, and 1 purple skittle. What is the probability that you randomly choose a skittle that is green, do not replace it, and then draw a purple skittle?​

Answers

Answer:1/30

Step-by-step explanation:

green: 3/10

purple don't replace: 1/9

3/10*1/9=1/30

Find the Average Rate of Change between the points given below.

(3, -7) and (5, 20)

Your answer:​

Answers

Answer:
13.5

Explanation:
The equation to find the slope (another word for the rate of change) of the line is (y2-y1)/(x2-x1) when the given points are (x1,y1) and (x2,y2).

When we plug in the given points, (3,-7) and (5,20) we can start solving.

(y2-y1)/(x2-x1)
(20-(-7))/(5-3)
Two negatives make a positive
= (20+7)/(5-3)
= 27/2
= 13.5

I hope this helps!

A man has 16 coins in his pocket, all of which are nickels and quarters. If the total value of his change is $1.40, how many of each coin does he have?

Answers

Answer:

3 quarters 13 nickels

Step-by-step explanation:

Answer:

3 quarters and 13 nickels

Step-by-step explanation:

if I get 1 point each 6minutes how long until i get 50 points?
and tell me how you got the any

Answers

Answer:

300 minutes

Step-by-step explanation:

1 point=6 minutes

50 points= x

x=6×50

=300 minutes

6 • 50 = 300
Or, if your teacher really wants it broken down: (1)(6)•50
1: each point
6: every six minutes
You want 50, so 50 points

Help ill make you brainlist

Answers

Answer:

z=8

Step-by-step explanation:

Answer:

z = 8

Step-by-step explanation:

Given

- 9z - 7 = - 23 - 7z ( add 9z to both sides )

- 2z - 7 = - 23 ( add 7 to both sides )

- 2z = - 16 ( divide both sides by - 2 )

z = 8

What equation is a standard form of quadratic function?

A.) y=x^2+6x+9
B.) y=(x+1)(x+3)
C.) y=-x^2+3x+5

Answers

Answer:

A is the correct format. Quadratic expressions in standard form are expressed in the format [tex]ax^2 + bx + c[/tex]

Seven out of every twenty soda bottles produced have caps indicating that the purchaser has won a prize. Which equation represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced? (Let w represent the number of bottles with winning caps, and let t represent the total number of bottles produced.) 1t OA. W= 20 7 -t B. W= 13 C. Zw = 20$ OD. Zw = 13t​

Answers

Answer:

ihni

Step-by-step explanation:

35

Use 45-45-90 & 30-60-90 Special Right Triangles to Solve. find the missing sir length. Leave you answers as radicals in simplest form

Answers

Answer:5) x=y=7×6^1/2,6)x=38,y=19×3^1/2

7)m=n=18,8)u= 2×5^1/2,v=3

Step-by-step explanation: use trigonometry laws

Which table below shows the equation y + x - 7?

(These are all tables)

1.
X 0 8 10 14
Y 7 11 12 0

2.
x 0 2 4 10
y 7 8 9 12

3.
x -2 0 2 6
y -6 -7 -6 -4

4.
x -6 -4 0 8
y -10 -9 -7 -3

Please help!

Answers

Answer:

It may be ( 3.) I dunno but they look kinda proportional

Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches. a. 2.45 inches c. 8.25 inches b. 4.55 inches d. 3.65 inches

Answers

Answer:

The height of the right circular cylinder is 4.55 inches ⇒ b

Step-by-step explanation:

The formula of the surface area of a right circular cylinder is

S.A = 2πrh + 2πr², where

r is its radiush is its height

∵ The surface area of a right circular cylinder is 300 square inches

S.A = 300 in.²

∵ Its radius is 5 inches

r = 5 in.

∵ π = 3.14

→ Substitute them in the rule above

300 = 2(3.14)(5)(h) + 2(3.14)(5)²

∴ 300 = 31.4h + 157

→ Subtract 157 from both sides

∵ 300 - 157 = 31.4h + 157 - 157

∴ 143 = 31.4h

→ Divide both sides by 31.4

∵ 4.554140127 = h

4.55 = h

The height of the right circular cylinder is 4.55 inches

Answer:

B.) 4.55

Step-by-step explanation:

Edge 2021

-7x-2y= -13
x-2y= 11

Solve the question with substitution and show work

Answers

Answer:

x=3,y= -4

Step-by-step explanation:

ii) x-2y=11

x=11+2y-----(i)

Now,

i) -7x-2y= -13

or, -7(11+2y)-2y= -13

or, -77-14y-2y = -13

or -14y-2y = -13+77

or -16y = 64

or y =64÷(-16)

:: y = -4

Again,

(ii) x-2y= 11

or x-2(-4)= 11

or x+8 = 11

or x = 11-8

:: x = 3

What is the area of sector AOB? Will choose the brainliest!!!

Answers

Area of sector AOB:

S =

[tex]\pi \times {9}^{2} \times \frac{60}{360} = 13.5 \times \pi[/tex]

Find the missing side of this triangle ROUND TO THE NEAREST TENTH IF NEEDED!! PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

B option

Step-by-step explanation:

hypotenuse square = base square+ perpendicular Square

please mark me brainliest and 5 star

Its B I had a problem like that before and i chose B and got it right

12+4y^2-7


please help i will give brainliest

Answers

Answer: 4 2^ + 5

Step-by-step explanation:

;w;

Which point is a solution to the inequality shown in this graph?
(3, 2)
6
(-3,-6).

Answers

The answer is (0,5)
If u want answer to these types of questions use socratic

Need help with question 12 ASAP ill love you forever

Answers

Answer:

A

Step-by-step explanation:

You solve for x so,

Y=3-5x

y-3=5x  <----- subtract by 3

3/5+y=x <------ divide by -5

Also (3/5,0) is at the x value

Math people I’ll make brianliest

Answers

[tex]y=3x[/tex]

The input is classified as x term

The output is classified as y term.

If the input is -4 then

Substitute x = -4 in y = 3x

[tex]y=3(-4)\\y=-12[/tex]

Therefore, the answer is -12 aka the first choice.

Which equation could be used to find the length of the hypotenuse?

Answers

The answer is A. The formula to this is A^2 + B^2 = C^2

Plz answer corecctlt 4 1⁄6 ÷ 1 1⁄3 = and also give the mixed fraction

Answers

Answer:

The answer is 0.5 and the Mixed Fraction is 1/2

Step-by-step explanation:

Answer:

3 1/8

Step-by-step explanation:

im only answering this late incase if someone else is looking for the right answer

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