Which derivation correctly uses the cosine sum identity to prove the cosine double angle identity
Answers
Answer: A
Step-by-step explanation: took the test
The derivation that correctly uses the cosine sum identity to prove the cosine double angle identity is A; cos²(x) - sin(x)²
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Let revise the identities of double an angle
sin(2x) = 2 sin(x) cos(x)
cos(2x) = cos²(x) - sin²(x)
cos(2x) = 2 cos²(x) - 1
cos(2x) = 1 - 2 sin²(x)
The equation
∵ cos(2x) = cos(x + x)
cos(x)cos(x) - sin(x)sin(x)
cos²(x) - sin(x)²
The identity is cosine double angle identity for cosine difference
Learn more about trigonometric;
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Related Questions
can someone tell me the area and explain
Answers
Answer:
120ft^2
Step-by-step explanation:
because the formula for finding the area of a rectangle is length times width, in this case it is 15 ft for the length and 8 ft for the width, so you would multiply both of those numbers together like 15*8=120ft.
200 as a product of primes using index notation
Answers
Answer:
2x2x2x5x5
Step-by-step explanation:
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180
Answers
Answer:
the answer is B on ed2020
Step-by-step explanation:
for answer b, if you subtract 330 from 510 you get soda = 180 cal. then if you subtract 110 from 370 you get 260, and 260 divided by two (he consumed 2 juice) equals 130.
so you have soda = 180 cal and juice = 130 cal
if you plug it into joe's calorie intake you do 130 (1 serving of juice) + 180 (1 serving of soda) and + 220 (two servings of milk) you get 530 which is joe's total calorie intake in liquids, so B (110) is correct
Using matrices to solve, the number of calories that are in 1 serving of milk is; 110 Calories
How to solve Linear Programming problems?
Let the calories in one serving of milk be x
Let the calories in one serving of juice be y
Let the calories in one serving of soda be z
Thus, for Joe, equation to show amount of calories is;;
2x + y + z = 530 -----(1)
For Darius, equation to show amount of calories is; ;
x + 2y = 370 ------(2)
For Marian, equation to show amount of calories is;
3x + z = 510 ------(3)
Using matrix calculator online to calculate this 3 equations, we have;
x = 110 calories.
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Myesha finds some nickels and quarters under the couch cushions. How many coins does she have if she has 6 nickels and 12 quarters? How many coins does she have if she has x nickels and y quarters?
Answers
If Myesha found 6 nickels and 12 quarters under her cushion, this means that she has a total of 18 coins.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of nickels and y represent the number of quarters. There are 2 cups in 1 pint. Hence:
If she has 6 nickels and 12 quarters:
Number of coins = 12 + 6 = 18
If she has x nickels and y quarters:
Number of coins = x + y
If Myesha has 6 nickels and 12 quarters, this means that she has 18 coins.
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600 can be written as 2 × b × co
where a, b, c and d are all prime numbers.
Find the values of a, b, cand d.
Answers
Answer:
a = 3, b = 3, c = 5 and d = 2.
Step-by-step explanation:
The prime factorization of 600 is 2^3 * 3 * 5^2
what is the quotient of 52.8 and 1.6?
Answers
Answer:
33 R 19.8
1.6 goes into 52.8, 33 times, so write 33 while including the tens place.
↓ Subtract 52.8 by 33. ↓
[tex]52.8-33=19.8[/tex]
Therefore, the answer is 33.
How is 4209 written using words
Answers
Answer:
Four-thousand two-hundred and nine
hope this helps =3
Answer:
Four-thousand Two-hundred nine is the answer
Step-by-step explanation: you take all the numbers and answer the question from there
if ms.li has 8/11 shirts that are white. 16 are white. how many shirts does she have in all
Answers
Answer:
22 shirts
Step-by-step explanation:
To find out how many shirts Ms. Li has in total, we have to set up a proportion.
[tex]\frac{8}{11} =\frac{16}{x}[/tex].As you can see, we multiply eight by two to get to sixteen. Whatever we do on the numerators, we must do to the denominators. Thus, eleven multiplied by two is twenty-two t-shirts.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Pls help me with this problem
Answers
Answer:
SAS
Step-by-step explanation:
Francisca and Elizabeth are participating in a walk-a-thon fundraiser.
For every hour Francisca walks she raises $25.50. For every hour
Elizabeth walks she raises $14.50. Each girl walks for 3 hours. How
much will they raise together?
Answers
A store pays $3 for a magazine. The markup is 5%.
Answers
Answer/Step-by-step explanation:
Given;
A store pays $3 for a magazine.
The markup is 5%.
Solve:
$3 × 5% = 0.15 [Markup Price]
$3 + 0.15 = $3.15 [Final Price]
Hence, the total is $3.15.
~Learn with Lenvy~
Can some Please help me with this please please :(((( (The Image is In The Question)
When Hana goes to the mall, she always buys the same lunch and also buys some books. The table shows the number of books she buys, x, and the total amount of money she spends, y.
If this data were displayed in a scatter plot, select ALL statements that would be true about a good trend line summarizing the data.
SELECT GROUP OF ANSWER CHOICES
A. The y-intercept approximates the average cost of one book.
B. The y-intercept approximates the cost of Hana's lunch.
C. The slope approximates the cost of Hana's lunch.
D. The trend line goes through the origin.
E. The slope approximates the average cost of one book.
Answers
Order the temperatures from greatest to least
90°F
-25°F
-45°F
60°F
5°F
10°F
Answers
Answer:
90, 60, 10, 5, -25, -45
Step-by-step explanation:
Answer: -45 F, -25 F, 5 F, 10 F, 60 F, 90 F
Step-by-step explanation:
A graph that represents 2x-3y=9
Answers
I attached to pictures, one of me solving the equation for you step by step and then what the graph should look like when i put it in my calculator!!
the slope is 2/3x and it translate down 3 units on the y-axis!!2x + 3y = 26
3x + 5y = 40
Answers
2x + 3y = 26 -- equation 1
3x + 5y =40 -- equation 2
(Equation 1) * 3
6x + 9y = 78 -- equation 3
(Equation 2) * 2
6x + 10y = 80 -- equation 4
(Equation 4) - (Equation 3)
y = 2 -- equation 5
(Equation 5)'s value of y into (Equation 1)
2x + 3(2) = 26
2x = 20
x = 10
Thus x = 10 and y = 2
Hope that helps!
what the answer and show step by step how you got the answer
2(6x+1)=14x-6
Answers
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
[tex]2(6x+1)=14x-6[/tex]
→ Expand brackets on left side
[tex]12x+2=14x-6[/tex]
→ Minus 14x from both sides to collect the x terms
[tex]-2x+2=-6[/tex]
→ Minus 2 from both sides to isolate 2x
[tex]-2x=-8[/tex]
→ Divide both sides by -2 to isolate x
[tex]x=4[/tex]
Answer:
4=x
Step-by-step explanation:
2(6x+1)=14x-6
12x+2=14x-6
+6+2=14x-12x
8=2x
4=x
Becka says that when she simplifies the expression below, the value is 6 less than her age. What is Becka’s age?
(7 + 11) − 8 ÷ 2
Answers
Answer:
20
Step-by-step explanation:
heart and brainliest pls
Answer:
18
Step-by-step explanation:
you have to do parentheses first, then division. Then you can subtract because of the order of operations, PEMDAS, which is parentheses, exponents, multiplication or division, and addition or subtraction. After you do the equation you get 12. That is 6 less than Becka's age, making Becka's age 6 more than that, which is 18
LOOK AT THE IMAGE PLEASE⚠️⚠️
Answers
Anything with an exponent is not linear, it is exponential.
Hope this helps!
The boxes that shoes come in are often used in other capacities once the shopper has bought the shoes. Sometimes the boxes are used to hold other items, so it is helpful to know the volume of the box.
Answers
Answer:
Step-by-step explanation:
used to hold other items, so it is helpful to know the volume of the box helpful to know the volume of the box.
The volume of the box is V = l × w × h, where l, w, and h are the length, width, and height of the cuboidal box.
What is a cuboid?A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.
Given a shoe box.
The shape of a shoe box is a cuboid.
Let the length, width, and height of the cuboid be l,w, and h, then the volume of the cuboid is:
V = l × w × h
Hence, the volume of the box is V = l × w × h, where l, w, and h are the length, width, and height of the cuboidal box.
Learn more about the cuboids:
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What is the answer to this and show the work please.
Answers
Answer: 6x+3y=12
x=-1/2y+2
Step-by-step explanation:
step 1: add -3y to both sides
6x+3y+-3y=12+-3y
6x=-3y+12
step 2: divide both sides by 6
6x/6=-3y+12/6
Answer:
y = 6 and x = -1.
Step-by-step explanation:
It's normally useful for me to rewrite the equation so they match. I'm using the substitution method.
First find out what "y" equals (I'm using the second equation):
Add 8 to both sides:
y - 8 = 2x
+8 +8
y = 2x + 8
Plug this into the previous equation.
6x + 3(2x + 8) = 12
Distribute first:
3(2x + 8)
3 * 2x = 6x
3 * 8 = 24
6x + 24
Rewrite the equation:
6x + 6x + 24 = 12
Find liked terms.
6x + 6x + 24 = 12
They are liked terms so combined them: 6x + 6x = 12x.
Rewrite the equation again:
12x + 24 = 12
Solve for "x".
Subtract 24 on both sides.
12x + 24 = 12
-24 -24
12x = -12
Divide 12 to get x by itself.
12x = -12
12
x = -1
Plug x into the second equation to find y.
y - 8 = 2(-1)
y - 8 = -2
Add 8 to both sides.
y - 8 = -2
+8 +8
y = 6
The answers are y = 6 and x = -1.
What is the probability of spinning a A?
Answers
Answer:
The probability is 1/4, give me brainliest answer
The step by step solution to this is very simple, There are two "A" spots on the wheel and 8 spots all together. 2/8= 1/4= 25%
Answer: 3/5
Step-by-step explanation:
The probability of spinning a one can be written as a fraction. One out of five sections contain a '1' and so, the probability of spinning a one is 1 / 5 . Because 1 is less than half of 5, this outcome can be described as unlikely. The probability of spinning a two is 3 / 5.
Adnan pours out 18 servings of lemonade. Each serving contains 120 milliliters of lemonade.
How many liters of lemonade in all did Adnan pour out?
0.216 L
2.16 L
21.6 L
216 L
Answers
Answer:
Its 2.16 l
Step-by-step explanation:
I USED MY BRAIN and its hard for me
I believe the answer is 2.16 L.
what is 9 × 5 + 6× 7
Answers
Answer:
87
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
9 × 5 + 6 × 7
Step 2: Multiplication
45 + 6 × 7
Step 3: Multiplication
45 + 42
Step 4: Add
87
Answer:
87Step-by-step explanation:
9x5=45
6x7=42
45+42=87
So the correct answer is 87
Order Of Operations
Write the ratio as a fraction in simplest form.
10 feet to 5 yards
Answers
Answer:
1:0.33
Step-by-step explanation:
This is because one foot= .333 yards
I hope this is what you were asking! :)
what does g stand for in math?
Answers
Answer:
g stands for a measure of mass that is approximately equal to the weight of paper clip, penny, or nickel. note: this is not a fake one this is real and I have done my research
Zoe filed for bankruptcy several years ago and now wants to take out a loan for $15,200. since zoe has a past bankruptcy, she will end up paying a higher interest rate. the loan term is four years, and her payments are $819.20 per month. with a better credit rating, her payments could have been $440.82 per month. how much more in interest will zoe end up paying for her loan because of her bankruptcy? a. $4,540.56 b. $15,135.20 c. $23,346.24 d. $18,162.24
Answers
Answer:
18,162.24 / D
Step-by-step explanation:
12 months per year times 4 years is 48 months
819.20 x 48 = 39,321.60 which is what she is paying
440.82 x 42 = 21,159.36 which is what she could be paying
so do 39321.60 - 21159.36 to get 18,162.24 or answer D.
Answer:
C
Step-by-step explanation:
Edunuity
Subtract.
4/5 - 1/4 =
plz hellllllllllp
Answers
Answer:
Hello
=4/5-1/4
Taking LCM,
LCM=20
=4*4/5*4 - 1*5/4*5
=16/20-5/20
=11/20
Answer:
11/20
Step-by-step explanation:
PLEASE HELP !! I NEED IT! "Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B ?
Answers
Answer:
yes
Step-by-step explanation:
Choose the inequality that represents the following graph.
Answers
Answer:
option a is correct thanx
Which of these fractions is a recurring decimal?
A - 10/16
B - 39/130
C - 28/35
D - 15/17
E - 13/52
Answers
Explanation: it is the only answer that keeps continuing on forever when divided