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[tex] \cos( \frac{5\pi}{12} ) = \cos( \frac{6\pi}{12} - \frac{\pi}{12} ) = \\ [/tex]
[tex] \cos( \frac{\pi}{2} - \frac{\pi}{12} ) = \sin( \frac{\pi}{12} ) \\ [/tex]
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Also we have :
[tex] \sin( \frac{5\pi}{12} ) = \cos( \frac{\pi}{12} ) \\ [/tex]
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So :
[tex] \cos( \frac{\pi}{12} ). \sin( \frac{\pi}{12} ) + \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) = \\ [/tex]
[tex]2 \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) \\ [/tex]
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Hint :
[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) . \cos( \alpha ) [/tex]
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So ;
[tex]2 \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) = \\ [/tex]
[tex] \sin(2 \times \frac{\pi}{12} ) = \sin( \frac{\pi}{6} ) \\ [/tex]
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[tex] \sin( \frac{\pi}{6} ) = \cos( - \frac{\pi}{3} ) \\ [/tex]
Thus the correct answer is the first option.
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Factor completely: f(x) - 2x^2 - 3x - 2
Answer:
(2x+1) (x-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLZ HELP HURRRY. Select the correct answer. which statement is true about the slope of the graphed line?
Answer:
B
Step-by-step explanation:
Answer goes up one and to the left one
Step-by-step explanation:
Triangles ABC and d e f are similar the lengths of the sides of ABC are 56/64 and 72 the length of the largest side of d e f is 252 what is the length of the smallest side of d e f
Answer:
[tex]D E F = 196[/tex]
Step-by-step explanation:
Given
[tex]ABC = 56, 64\ and\ 72[/tex]
[tex]Largest\ of\ D E F = 252[/tex]
Required
Determine the smallest side of DEF
Since both sides are similar, then the sides of DEF can be calculated using:
[tex]D E F = k * ABC[/tex]
First, we need to solve for k
From the given parameters
[tex]D E F = 252[/tex] when [tex]ABC = 72[/tex]
This is so because these are the largest sides of both triangles respectively
[tex]D E F = k * ABC[/tex]
[tex]252 = k * 72[/tex]
Divide through by 72
[tex]252/72 = k * 72/72[/tex]
[tex]k=252/72[/tex]
[tex]k=3.5[/tex]
We make use of the same formula to determine the length of the smallest side.
The smallest of ABC is 56, so we have:
[tex]D E F = k * ABC[/tex]
[tex]D E F = 3.5 * 56[/tex]
[tex]D E F = 196[/tex]
Hence, the smallest side of DEF is 196
solve for x 10=5/8x please
Answer:
x=16
Step-by-step explanation:
Answer:x=16
Step-by-step explanation: 10 divided by 5/8 is 16 so x equals 16
7. Ariel takes a loan of $8,000 to buy a used truck at the rate of 9 % simple interest. Calculate the
annual interest to be paid for the loan amount.
A. 1730
B.2345
C. 720
D. 14
E. 72
8. Steve invested $ 10,000 in a savings bank account that earned 2% simple interest. Find the interest
earned if the amount was kept in the bank for 4 years.
A. 500
B. 300
C. 1200
D. 800
E. 600
What is the slope of a line passing through the points (-1, 3) and (4, -7)
A. -2
B. -4/3
C. 3/4
D. 2
Answer:
A
Step-by-step explanation:
-7-(3)/4-(-1)=-10/5 which is -2
Use the slope formula y2-y1/x2-x1 to solve
Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.
Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
The length of the suit case is 24 inches while the height is 18 inches
Give me the answer in i will give you brainliest
Step-by-step explanation:
Given that,
The length of a baseball is 29 inches
Logan thinks he can bring the baseball bat home in his suitcase.
The length of the suit case is 24 inches while the height is 18 inches. We can find the diagonal (x) of the suitcase using Pythagorean Theorem as follows :
[tex]x^2=24^2+18^2\\\\x=\sqrt{900} \\\\x=30\ \text{inches}[/tex]
The diagonal of the suitcase is 30 inches. It means that he can put the baseball bat in the suitacse easily.
23792743598437589643252963405 x 23792743598437589643252963405
5.6609465e+56
What the...
How much will be in your savings account if you invested $250 at 6.3% interest compounded semiannually after 8 years
Answer:
$664.47
Step-by-step explanation:
A = P(1+i/m)^mn
A = 250(1+0.063/2)^2*8
A = 250(1.063)^16
A = 250*2.657861
A = $664.46525
A = $664.47
Diane earns $14,500 a year. She pays 11% of her gross income for federal, state, and local taxes. She is taxed at the FICA rate of 7.65%. She has 3.5% of her income withheld for personal deductions. She is paid biweekly. What is her net pay for each pay period? Round to nearest cent.
Answer:
$434.16346
Step-by-step explanation:
Given that :
Gross earning= $14500
Federal, state and local taxes = 11%
0.11 * $14500 = $1595
FICA tax rate = 7.65%
0.0765 * 14500 = $1109.25
Personal deduction :
3.5% * 14500
0.035 * 14500 = $507.50
Total deduction :
$(1595 + 1109.25 + 507.50)
= $3211.75
Net earning : $(14500 - 3211.75) = 11288.25
Since she is paid bi weekly:
Number of biweeks in a year = 52 /2 = 26
Number of payments per annum = 26
Hence,
Net pay per period :
11288.25 / 26
= $434.16346
=
if the image of (4.-7) under a translation is (-9,2)
Find the third side in simplest radical form:
Answer:
I'm pretty sure that this is the answer 41 square root
what is 30=2.5(10-2x)
Answer: if u looking for x it - 1
Answer:
x=-1
Step-by-step explanation:
30=25-5x
5=-5x
-1=x
why is it helpful to write numbers in different ways?
Answer:
Knowing how to write numbers in different ways can help you solve complex problems more easily.Doing this can also reinforce the mathematical principles and logic you have memorised.
True or False? The blue radius is perpendicular to the green chord.
The statement that the blue radius is perpendicular to the green cord is false
From the complete question,
The blue radius does not bisect the green chord
This means that the blue radius and the green chord do not meet at 90 degrees
Since both lines do not meet at 90 degrees, then they are not perpendicular
Hence, the statement that the blue radius is perpendicular to the green cord is false
Read more about radius and chords at:
https://brainly.com/question/1869643
PLEASE HELPPP I WOULD REALLY APRECIATE IT♥
Answer:
C. x = -2
Step-by-step explanation:
answer this for me please gotta hurry!! 4x10^-2
Answer:
1/25 or 0.04 in decimal form
Step-by-step explanation:
i just used a calculator-
answer to question below
Answer:
13n+20
Step-by-step explanation:
Each book costs $13 with a flat rate of $20
You pay $13 for each book, which will be n. And aside from that you also pay for shipping, which will be another $20
So the correct answer is: 13n+20
edy baked three cakes with different masses in the ratio of 7:5:4. The mass of the lightest cake is 800g. Find the mass,in g, of the heaviest cake 7:5:4
Brainlest to whoever can tell me what pi stands for
Hi!
Pi: The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.
Hope this Helps!
Yours Truly,
~~~PicklePoppers~~~HELPpppp WITH 6 & 7 pleaseeeeee
number 7 is 21 people
Step-by-step explanation:
for number 7 I got 21 because if 6 pounds feeds 14 people then if you divide both by 2 then you will get 3 pounds feed 7 people and to find 9 pounds its 7×3 which is 21.
Tony weighs T pounds. Tony’s father Jim weighs 4 pounds less than twice the weight of Tony. Write an expression to represent Jim’s weight.
Answer:
2T - 4 = J
Step-by-step explanation:
J = Jim
T = Tony
Jim is 4 less than twice the weight of Tony = 2T - 4 = J
Ava has to attend at least 45 physics classes every semester to earn attendance points. If she can attend 3 classes every week, write an inequality that determines the minimum number of weeks Ava should attend physics classes. PLEASE ANSWER!
Answer:
45= 3x
Step-by-step explanation:
45 classes= 3 classes × x weeks
What is
12%expressed
as a fraction?
3/25
1/8
6/25
1/4
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)
PLEASE ANSWER ASAP!!!!
Answer:
Step-by-step explanation:
you suck
PLEASE HELP ME !!!!!!!!!
Answer:
Trapezoid graph
Step-by-step explanation:
Domain: Same as the plot
Domain shape: trapezoid
Range in (x, y) = (2, 7), (3, 13)
I hope this helps you :)
Missy volunteered at a hospital for 12 hours in one month.she spent 4/5 hour at the hospital every time she volunteered.How many times did she volunteer that month?
Answer:
15 hours
Step-by-step explanation:
12 is total hours Missy at a hospital in one month. She spent 4/5 hour at the hospital. So we have:
12 : 4/5= 15(hours)
what properties is used in this equation 4(x + 5) = 40
Answer:
Distributive property
Darlene wants to buy a sweater that originally cost 32$ it is on sale for 20% off. Sales tax is 6.75%. What is the final price of the sweater with the discount and tax
Answer:
$27.34Step-by-step explanation:
32 x 0.20 = $6.40
32 - 6.4 = $25.60
25.6 x .0675 ≈ 1.738
25.6 + 1.738 = 27.338 ≈$27.34
Please help Is this correct???
Answer:
I think so.
Step-by-step explanation: Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. Therefore, your answer is correct.