Answers
[tex]cos(A - B) = cos A cos B + sin A sin B[/tex]
In this case, A is [tex]\frac{\pi }{3}[/tex] and B is [tex]\frac{\pi }{5}[/tex], so:
[tex]cos\frac{\pi}{3} cos\frac{\pi}{5} +sin\frac{\pi }{3} sin\frac{\pi }{5} =cos(\frac{\pi}{3} -\frac{\pi}{5} ) = cos\frac{2\pi}{15}[/tex]
Hope that helps!
Related Questions
ΔABC and ΔDEF appear to be similar. Which set of measurements prove that the two triangles are similar?
Answers
Answer:
C.
Step-by-step explanation:
Similar triangles have congruent corresponding angles, and proportional corresponding sides.
The only angle given is angle A, which will correspond to angle D if the similarity statement is true. That is, angle D must be 35°. (Eliminates choice D)
__
The ratios of the given sides are AB:AC = 9:12 = 3:4. The corresponding sides would be DE:DF. (Eliminates choice A)
The remaining choices have side ratios of ...
B. DE : DF = 16 : 21 ≠ 3 : 4
C. DE : DF = 12 : 16 = 3 : 4
The set of measurements that would make ΔABC ~ ΔDEF is ...
DE = 12, DF = 16, and ∠D = 35°
HELP ME PLS This pattem follows the "add 3" rule What is the next number in the pattern? 3. 6. 9. 12, 15,
Answers
Answer:
18
Step-by-step explanation:
Since it's an add 3 rule, you need to add 3 to 15
3+15=18
A stack of bricks has a
base with an area of 38
inches. If the height is 12
inches, then what is the
volume?
Answers
Answer: 456 inched cubed
The Explanation: Basically, we are going to take the base area which is 38 and multiply that by a height of 12.
38 x 12 = 456
What is the solution to this inequality?
x/9 + 7 ≥ 10
Answers
Answer:
x ≥ 27
Step-by-step explanation:
x/9 + 7 ≥ 10
Subtract 7 from each side
x/9 + 7-7 ≥ 10-7
x/9 ≥ 3
Multiply each side by 9
x/9 *9 ≥ 3*9
x ≥ 27
Answer:
X>27
Step-by-step explanation:
Your Welcome
A rectangle has an area of 24x + 6. What are all the possible side lengths of the rectangle.
Answers
The required possible side lengths of the rectangle are B. 2 and 12x+3 and C. 3 and 8x + 2.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
The area of a rectangle is given by the formula A = l x w, where l is the length and w is the width of the rectangle.
We know that the area of the rectangle is 24x + 6, so we can set up the equation:
24x + 6 = l x w
We want to find all possible combinations of length and width that satisfy this equation.
One way to approach this is to factor the expression 24x + 6 and look for pairs of factors that multiply to give the same product.
24x + 6 = 6(4x + 1)
Now we can see that one possible set of dimensions is:
l = 6(4x + 1)
w = 1
This gives us an area of:
A = l x w = 6(4x + 1) x 1 = 24x + 6
Another possible set of dimensions is:
l = 2(12x + 3)
w = 3
This gives us an area of:
A = l x w = 2(12x + 3) x 3 = 24x + 6
So the possible side lengths of the rectangle are:
l = 6(4x + 1), w = 1
l = 2(12x + 3), w = 3
Learn more about rectangles here:
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Juanita did this work to solve an equation. Did she make an error?
Answers
Have a nice day : )
Answer:
B
Step-by-step explanation:
On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4).
What is the rule for the reflection?
A. rx-axis(x, y) → (–x, y)
B. ry-axis(x, y) → (–x, y)
C. rx-axis(x, y) → (x, –y)
D. ry-axis(x, y) → (x, –y)
Answers
Answer:
B. Ry-axis(x, y) → (–x, y)Step-by-step explanation:
As per the graph we see that:
Reflection over y-axis, y- coordinates remain as is, x- coordinates change to oppositeSo the rule is:
Ry-axis (x, y) → ( - x, y)Correct option is B
Answer:
B. ry-axis(x, y) → (–x, y)
Step-by-step explanation:
Took the quiz, hope this helps! :)
The value of a collectible coin can be represented by the equation y = 2 x + 9.74, where x represents the number of years that Consuello has owned the coin and y represents the total value, in dollars, of the coin. What was the value of the coin when Consuello originally purchased it?
$4.87
$7.74
$9.74
$19.48
Answers
Answer:
The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C
Step-by-step explanation:
The form of the linear equation is;
y = m x + b, where
m is the slope of the line (The rate)b is the y-intercept (initial amount, value y at x = 0)∵ The value of a collectible coin can be represented by the equation
y = 2 x + 9.74
→ Compare it with the form of the linear equation above
∴ m = 2
∴ b = 9.74
∵ x represents the number of years that Consuelo has owned the coin
∵ y represents the total value, in dollars, of the coin
→ That means the value of y at x = 0 is the value of the coin when
Consuelo originally purchased it
∵ b represents the value of y at x = 0
∵ b = 9.74
∴ The value of the coin when Consuelo originally purchased it is $9.74
Answer:
c
Step-by-step explanation:
1) Find the minimum and maximum values for the function with the given domain interval. Round your answers to the nearest thousandth. m(x) = ln x, given 1/10 ≤ x ≤ 1/5
Answers
The function m(x) = ln x is a natural logarithm function
The minimum value is -2.30 and the maximum value is - 1.61
How to determine the minimum and maximum values?The function is given as:
m(x) = ln x
The domain is given as:
1/10 ≤ x ≤ 1/5
At x = 1/10, we have:
m(1/10) = ln (1/10)
m(1/10) = -2.30
At x = 1/5, we have:
m(1/5) = ln (1/5)
m(1/5) = -1.61
So, we have: -2.30 ≤ m(x) ≤ -1.61
Hence, the minimum value is -2.30 and the maximum value is - 1.61
Read more about functions at:
https://brainly.com/question/13473114
Answer:
The minimum value is -2.303 and the maximum value is -1.609.
Step-by-step explanation:
1. Estelle went to the store and bought a box of crackers for $3.79 and a package of cheese for $4.59. About how much will this cost her?
Answers
Answer: It will cost Estelle roughly $8.86
Step-by-step explanation:
$3.79+$4.59 = $8.38
The length of RT is 4x-4.Given that point S is between point R and T,
where the length of RS is 2x + 6 and the length of ST is 16, what is the
length of RS?
Answers
Answer:
RS = 32
Step-by-step explanation:
Set-up equation like this -- 2x+6+16=4x-4
Solve for x
Then plug x in for the length of RS. You should get 32 for RS.
what is 347483934 times 47849372983743
Answers
Answer:
I got 1.6626888363824336e+22
Step-by-step explanation:
Which of the relations below is not a function?
Pleasure that’s for today
Thanks <3...
Answers
Answer:
C
Step-by-step explanation:
In the relation stated in C the x values repeat. This shows that each x value doesn't have its own y value. By the definition of functions, this means that C cannot be a function
Write each equation in slope-intercept form.
19. y - 4 = 3(x - 2)
20. y + 2 = -(x + 4)
21. y - 6 = -2(x + 2)
22. y + 1 = -5(x - 3)
23. y - 3 = 6(x - 1)
24. y - 8 = 3(x + 5)
Help me plz
Answers
Answer:
The picture is the answer. Hope it's all correct. Good luck
Adding and subtracting fractions with different denominators D:
Answers
Answer:
(I only did question 11 because the rest is just repetition)
Step-by-step explanation:
make the denominators the same by finding the LCM (lowest common multiple)
(I apologise if I do this incorrectly, the image is very blurry)
So what I did was make the denominator a number that both 2 and 3 can multiply to. (2x3=6 and 3x2=6)
Then whatever you do to the bottom you always do to the top.
- to go from 2 to 6, multiply by 3
- do that to the numerator
- to get from 3 to 6, multiply by 2
- do that to the numerator
= 17/6
Simplify to mixed fraction
6. Știind că a·b+a:C= 100 și b+c= 20, atunci a este
egal cu:
a) 4
b) 200
C) 5
d) 80
Answers
24% of 200 is what percent of 500
Answers
Answer:
9.6%
Step-by-step explanation:
Kira wants to buy a tablet computer for $600.she has already saved $275.she plans to save $40 every week until she has enough money to buy the tablet. In how many weeks will she be able to buy the tablet?
Answers
Answer:
600-275=325
325/40=8.125
Approximately she will buy the tablet in 9 weeks
HELP THIS IS DUE TODAY!Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B. *
5 points
4.5 inches by 1.5 inches
8 inches by 2 inches
10 inches by 4 inches
13.5 inches by 4.5 inches
90 inches by 30 inches
Answers
Answer:
1. 90 in. by 30 in.
2. 4.5 in. by 1.5 in.
3. 13.5 inches by 4.5
Those are the 3 correct answers.
of 0.1 - ? 0.1 as a fraction
Answers
Answer:
0.1 as a fraction is 1/10
Step-by-step explanation:
Answer:
the answer is 1/10•••••••••
Solve the equation using elimination
2x - 3y = 9
5x + 3y = 12
Answers
Answer:
Step-by-step explanation:
Decide whether the function is linear, exponential,or neither
Answers
Answer:
C is nonlinear. D is linear
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
How much sleep does a jaguar get in 1 year? The amount of sleep is ________ hours.
Chart jaguar 77 {usual hours per week}
Answers
Answer:
Jaguars sleep to about 15-18 hours a day so multiply that by how many days are in a year.
3k + 2(5k – 3) = 7
solve for K!!
Answers
Answer:
k=1
Step-by-step explanation:
I’m stuck on a math problem. It’s asking..
You plan to purchase a house for $425,000 and you will make a 30% down payment. You are evaluating two mortgages a 30-year fixed mortgage at 2.77% and a 15 year fixed mortgage at 2.15%. Your goal is to have a monthly payment that fits within your budget.
A. Which mortgage will give you the lowest monthly payment . What will that payment be. How much less will this be than the other monthly mortgage payment.
B. Assuming you take the full term of the mortgage, which mortgage will result in you paying the most interest. What will that interest be? How much less will this be than the interest on on the other mortgage?
Answers
Answer:
A. 30 years at 2.77%; $1217.67; $717.38 lower
B. 30 years at 2.77%; $140861.72; $90,051.68 difference
Step-by-step explanation:
A suitable spreadsheet, calculator, or financial app can help you answer these questions. In the attachments, we show the result of using a TI-84 work-alike calculator's financial app.d
A.The lowest monthly payment generally results from the longest-term mortgage, even when the interest rate is slightly higher. Here, the lowest payment is $1217.67 on the 30-year loan. It is $717.38 lower than the payment on the 15-year loan.
__
B.The longer-term loan will generally require payment of more interest. Here, that is made worse by the higher rate on the longer loan. The interest is the sum of payments less the initial principal. The highest amount of interest is $140,861.72 on the 30-year loan. That is $90,051.68 more than for the 15-year loan. (The wording of the question seems to be confused.) The least interest amount is $50,810.04 on the 15-year loan.
5 points
Your distance from lightning varies directly with the time it takes you to
hear thunder. If you hear thunder 10 seconds after you see the lightning,
you are about 2 miles from the lightning. Estimate how many seconds it
would take for the thunder to travel a distance of 4 miles? *
Answers
Answer:
d = 1/5t
Step-by-step explanation:
Since it is a direct variation , Let d represent the distance and t represent the time ,then
d ∝ t
introducing the proportionality constant, we have
d = kt
Substituting t = 10 and d = 2 , we have
2 = 10k
k = 1/5
substitute k = 1/5 into the original equation , we have
d = 1/5t
Step-by-step explanation:
John made a lump sum deposit of $ 6,300 in an account that pays 6.5% per year. Find
the value (maturity value) of his account after 5 years. How much is the interest?
Answers
Answer: $8,347.50 is the value of his account after five years.
Interest is $409.50 per year.
Total amount of interest paid is $2,047.50.
The maturity value in John's account is $8347.5.
Given that, principal =$6300, rate of interest =6.5% and the time period =5 years.
What is the maturity value?Maturity value is the amount due and payable to the holder of a financial obligation as of the maturity date of the obligation. The term usually refers to the remaining principal balance on a loan or bond. In the case of a security, maturity value is the same as par value.
Now, S.I. = (P×T×R)/100
= (6300×5×6.5)/100
= 2047.5
So, interest =$2047.5
Maturity value = Principal + Interest
= 6300+2047.5
= $8347.5
Therefore, the maturity value in John's account is $8347.5.
Learn more about the maturity value here:
https://brainly.com/question/2496341.
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Mrs. Williams is deciding between two field trips for her class. The Science Center
charges $114 plus $3 per student. The Dino Discovery Museum simply charges $6
per student. For how many students will the Science Center charge less than the
Dino Discovery Museum?
For more than
students.
HELP!!!!
Answers
Science Center: 114 + (3 * x)
Dino Museum: 6 * x
114+(3*x) = 6*x
114+(3*39) = 6*39
114+117 = 234
231 = 234
There needs to be at least 39 students for the science center to cost less than the dino discovery museum. Hope this helps! Please mark brainliest:)
Ali says that the perimeter of the rectangle on the coordinate plane is equal to 30 units , choose the correct answer that shows Ali's mistake ?
Answers
Step-by-step explanation:
I don't see answer options, but I can very well guess what went wrong :
he used the area formula to calculate the perimeter.
the area would be length × width, in our case
6 × 5 = 30 units²
but the perimeter is 2×length + 2×width, in our case
2×6 + 2×5 = 12 + 10 = 22 units
Hello!
P= 6+5+6+5 =22u
or
2(6+5) = 2*11 => 22u
6*5 = 30 is area
You order a pizza for dinner. The circumference of the pizza is 31.4 inches. What are the radius and diameter of the pizza? What is the area of the pizza?
Answers
Answer:
Diameter: 10 inch
Radius: 5 inch
Area: 78.54 inch
I hope I'm right let me know