hello , anyone able to help with question 5? thanks :)!

Hello , Anyone Able To Help With Question 5? Thanks :)!

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the product/ difference identity

sinxsiny = [tex]\frac{1}{2}[/tex] [ cos(x - y) - cos(x + y) ]

Consider the left side

2sin([tex]\frac{\pi }{4}[/tex] + α)sin([tex]\frac{\pi }{4}[/tex] - α )

= cos[[tex]\frac{\pi }{4}[/tex] + α - [tex]\frac{\pi }{4}[/tex] + α ] - cos [[tex]\frac{\pi }{4}[/tex] + α + [tex]\frac{\pi }{4}[/tex] - α ]

= cos2α - cos[tex]\frac{\pi }{2}[/tex]

= cos2α - 0

= cos2α = right side , thus proven


Related Questions

2. Craig read 3 books each week for 3 weeks. Joe read 4 books a week for 3 weeks. How many more books did Joe read? Choose the answer that has the correct expression and the correct answer to the question

4x3+4x4; Joe read 28 more books than Craig.

0 4x3 - 3x3; Joe read 27 more books than Craig.

3x3-4x 3; Joe read 3 more books than Craig.

0 4x3 - 3x3; Joe read 3 more books than Craig

Answers

Answer:

4*3 - 3*3;

Joe read 3 more books than Craig

Step-by-step explanation:

Given

Craig:

3 books weekly for 3 weeks

Joe:

4 books weekly for 4 weeks

Required

How many more books did Joe read.

First, we need to determine number of books Craig reads

If in a week, Craig reads 3 books

Then in 3 weeks, Craig reads 3 * 3 books

Next, we need to determine number of books Joe reads

If in a week, Joe reads 3 books

Then in 4 weeks, Joe reads 4 * 3 books

Next, we determine the difference;

[tex]Difference = 4 * 3 - 3 * 3[/tex]

[tex]Difference = 12 - 9[/tex]

[tex]Difference = 3[/tex]

Hence, Joe reads 3 more books

Option D answers the question.

What is the solution set?


(2, 0)

(7, 0)

(0, -2)

(5, 3)

Answers

The answer would be (5,3)

Plesae help

Rusty's hair grows at the rate of 1 over 4 inch per month.
How many months will it take Rusty's hair to grow 5 over 8 inch?
Explain your answer using words, and show your work using division of fractions.

Answers

As per linear equation, within 2.5 months, Rusty's hair will grow over  [tex]\frac{5}{8}[/tex] inches.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."

Given, the growth rate of Rusty's hair is [tex]\frac{1}{4}[/tex] inches per month.

Let, within 'x' months, her hair will grow [tex]\frac{5}{8}[/tex] inches.

Therefore, x ×  [tex]\frac{1}{4}[/tex]  =  [tex]\frac{5}{8}[/tex]

⇒ x = ( [tex]\frac{5}{8}[/tex] × 4)

⇒ x = 2.5

Therefore, within 2.5 months, Rusty's hair will grow over  [tex]\frac{5}{8}[/tex] inches.

Learn more about linear equation here: https://brainly.com/question/18761688

#SPJ2

Triangle A is mapped onto triangle A’

Answers

Answer:

What do you mean???

Step-by-step explanation:

Guys plz help answer this!!!!

Answers

the answer would be 2

4. Find each missing length to the nearest tenth.
3
7

Answers

i believe the answer 7.6


Determine the slope of each equation below:
y = 3x -8
y-4 = [(x + 5)
12x + 2y = 18

Answers

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

What is 142/3 simplified
Help please!!!

Answers

Answer:

47.33

Step-by-step explanation:

I solved it on paper

Answer:

142/3 as a fraction cannot be divisible but 142/3 is equal to 47 1/3

Step-by-step explanation:

142/3=47.3333333

47.3333333333 = 47 1/3

what the slope of (-15,9) (-10,3) ​​​

Answers

The slope is - 3/10

Y over x

Answer:

The formula for slope:

[tex]y2-y1/x2-x1[/tex]

so[tex](3-9)/(-10--15)[/tex]

which is

this:[tex]-6/5[/tex]

so the slope is

this:    [tex]-6/5[/tex]

Hope this helps :D

PLEASE HELP ME 6+__=8 and you will get brainliest :)

Answers

Answer:

the blank is 2 <3

Answer:

2

Step-by-step explanation:

You can do the inverse to find the answer like this.

8-6=

please help me im dying help

Answers

Answer:

call 911 if you are in a emergency.

Answer:

c

Step-by-step explanation:

y = -5/2 + b (substitute the co-ordinates in y and x)

5 = -5/2 × (-2) + b

5 = 5 + b

b = 5-5

b = 0


7. Refer to the diagram. The equilibrium price
and quantity in this market will be:
A $1.00 and 200
B. $1.60 and 200
C. $.50 and 130
D. $1.60 and 290

Answers

A. $1.00 and $200, where both lines meet in the middle is called the equilibrium price, this is where they make the most bang for their buck

William has a lemonade stand. It costs him $0.30 to make 3 cups of lemonade. Find the rate of change of his cost and respect to the dozens of cups of lemonade he makes?

Answers

Answer:

I'm a bit confused, but it would cost $1.20 to make a dozen cups of lemonade

Step-by-step explanation:

0.30 divided by 3 is 0.10, and a dozen is twelve which makes the problem 0.10x12 which equals $1.20

Angel got paid $332.50. He had to pay income tax of 30%. How much money did he have left?​

Answers

Answer:

$232.75

Step-by-step explanation:

Because the tax takes 30% of his pay, he will be left with 70%.

Multiply his pay by 0.7 to get the answer:

332.50 * 0.7 = 232.75

Hope that helps! :D

Is (1,5) (9,12) (12,27) (19,33) a function?

Answers

Answer:

Yes

Step-by-step explanation; vertical line test!!! have a great day

Fill in the blank so that the relation is NOT A FUNCTION. Type a number only in the blank. The blank represents the x-value of the last ordered pair. {(4.5),(0, -1), (-7,0). (-3,8). ( type your answer .. -1)​

Answers

Can you provide a photo question ?

PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.

Round your answers to the nearest cent. And thank you if you answer this I really need the answer.

Answers

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

f/13 = 6.2 what is the value of f

Answers

Answer:

The value of f is 80.6.

Step-by-step explanation:

We are given the equation and asked to solve for f.

If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.

For example, if you look at this equation:

[tex]\displaystyle\frac{a}{26}=17.9[/tex]

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

[tex]\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4[/tex]

Therefore, we can apply this same technique to the equation [tex]\frac{f}{13}=6.2.[/tex]

[tex]\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}[/tex]

Therefore, the value of f is 80.6.

Answer:

f = 80.6

Step-by-step explanation:

Multiply both sides by 13.

f /13 =6.2

( f /13 )*(13)=(6.2)*(13)

f = 80.6

A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is
What is the probability of not spinning a 3?
Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer: The probability of spinning a 3 is 1/9

Step-by-step explanation:

If there are 9 equal sections, that means there is an equal percent chance for each number to be landed on. Since there are 9 pieces, the denominator would be 9. There's a 1/9 chance because it is 1 section out of 9.

There are 30 boys in a sporting club. 20 of them play hockey and 15 play volleyball. Each boys plays at least one of the two games. Illustrate the information on a Venn diagram. How many boys play all the two games. How many boys play only one game​

Answers

Answer:

5 boys play all the two games

25 boys play only one game

Step-by-step explanation:

Sets

There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).

All the boys play at least one of the two games, so no elements are outside both sets.

There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.

Thus 20 + 15 - 30 = 5 boys play both games

Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.

Thus 15 + 10 = 25 boys play only one game.

The Venn diagram is shown in the image.

Solve for n
2-2n=3n+172−2n=3n+17

Answers

Answer:

[tex]n = - \frac{170}{3} [/tex]

Ayan po ng answer sana makatulong

#carrying_learning

Identify the opposite number of -22 7

Answers

Answer:

22.7?

Step-by-step explanation:

56=13+d what does the d stand for I've been getting different answers trying to solve it

Answers

Answer:

43

Step-by-step explanation:

56-13=43............

Answer:

d = 43

Step-by-step explanation:

56 = 13 + d  Subtract 13 from 13 and subtract 13 from 56.

43 = d

Will GIVE BRAINILEST TO WHO ANSWERS
Subtract 9x^2+7x-29x 2 +7x−2 from 8x-108x−10.

Answers

Answer:

20x^2 - 107x - 10.

Step-by-step explanation:

8x - 108x - 10 - (9x^2 + 7x -29x^2)

simplifying:

-100x - 10 - (7x - 20x^2)

20x^2-100x - 7x - 10

20x^2 - 107x - 10

Answer:

−9x

2

+x−8

Step-by-step explanation:

Which equation could generate the curve in the graph below?

Answers

Answer:

There is no graph

Step-by-step explanation:

In an isosceles triangle, if the measure of a base angle is 74°, what is the measure of the vertex angle?

Answers

32°

Step-by-step explanation:

AT the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth foot, find the direct distance between Jalen and the entrance.

Answers

Answer:

131.58 feet

Step-by-step explanation:

Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).

So, we find the distance, d between the Ferris wheel and the swing using

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).

Now  (x₁, y₁) = (95, 156) and  (x₂, y₂) = (-23, 124)

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(-23 - 95)² + (124 - 156)²]

d = √[(-118)² + (-68)²]

d = √[13924 + 4624]

d = √18548

d = 136.191 feet

Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet

We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use

d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

Now  (x₁, y₁) =  (0, 0)  and  (x₂, y₂) = (95, 156)

So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

d" = √[(95 - 0)² + (156 - 0)²]

d" = √[95² + 156²]

d" = √[9,025 + 24,336]

d" = √33,361

d" = 182.65 feet

Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel =  d" - d'

= 182.65 feet - 51.07 feet

= 131.58 feet

Order each set from least to greatest.
8.2, 8.02, 8.025, 8.225

Answers

Answer:

8.02,8.025,8.2,8.225

Step-by-step explanation:

Solve for X.

14/20= 56/x
Please some helpp

Answers

Answer:

x=80

Step-by-step explanation:

X= 80
56 div. 14 = 4, so you multiply 20 and 4 to find the denominator of 56/x, therefore, the answer is X= 80

Write the equation of the line that passes through the point (4.3)
and is PERPENDICULAR to the line y = 2x - 4.

Answers

Step-by-step explanation:

Firtsly we know that the slopes must be perpendicular, which means the equations slope would be

[tex] - \frac{1}{2} [/tex]

Now with the slope we can find the y-intercept, which is

[tex]1[/tex]

Therefore the equation is

[tex]y = - \frac{1}{2} x + 1[/tex]

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