Recall the double-angle identity,
sin²(x) = (1 - cos(2x)) / 2
Now if sin(12°) = k, then
k ² = sin²(12°) = (1 - cos(24°)) / 2
→ cos(24°) = 1 - 2k ²
Alyssa is a waitress at a restaurant. Each day she works, Alyssa will make a
guaranteed wage of $20, however the additional amount that Alyssa earns from tips
depends on the number of tables she waits on that day. From past experience, Alyssa
noticed that she will get about $15 in tips for each table she waits on. How much
would Alyssa expect to earn in a day on which she waits on 10 tables? How much
would Alyssa expect to make in a day when waiting on t tables?
Earnings for 10 tables:
Earnings for t tables:
Answer:
$170
20+15t
Step-by-step explanation:
she already makes $20 in a day and then you add the 10 times $15 in tips which makes 170.
for the equation, she makes 20 so you add it to 15 times t which is the hypothetical number of tables
Robert has two and two-fifths cups of chocolate syrup left in his freezer. He uses one-fourth cup of chocolate syrup when he makes a milkshake. What is the maximum number of milkshakes that Robert can make with the chocolate syrup?
The number of milkshake cups will be 9³/₅.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Robert has two and two-fifths cups of chocolate syrup left in his freezer. He uses one-fourth cup of chocolate syrup when he makes a milkshake.
The number of milkshakes will be calculated as,
Number = 2²/₅ ÷ 1 / 4
Number = (12 / 5 ) ÷ ( 1/ 4 )
Number = ( 12 x 4 ) ÷ 5
Number = 48 ÷ 5
Number = 9³/₅
To know more about an expression follow
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2) Mr. Jenkins deposited $1,200 into an account. He made no additional
deposits or withdrawals. Jenkins earned 4.0% annual simple interest on
the money in the account. What was the balance in dollars and cents in
Mr. Jenkins's account at the end of 4 years?
Hello, I Am BrotherEye
Answer:
The balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years was $ 1,462.50
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Initial deposit = $ 1,250
Interest rate = 4.25% annual simple = 0.0425
Time of investment = 4 years
2. What was the balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years?
Let's recall the simple interest formula, as follows:
A = P * (1 + rt), where:
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the values we know:
A = P * (1 + rt)
A = 1,250 * (1 + 4 * 0.0425)
A = 1,250 * 1.17
A = 1,462.50
The balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years was $ 1,462.50
Step-by-step explanation:
How do you solve this
Answer:
1
Step-by-step explanation:
use the 3d equation because x = 1
1-1+1 = 1
In the figure below,the segments JK and JL are tangent to the circle centered at O.Given that JL =13.2 and OJ=16.5,find OK.
Answer:
OK=9.9
Step-by-step explanation:
KJ and LJ both are on the circumference, are secants and coincides at the same outer point so they are equal.
JK=LJ so JK=13.2
Tangents are perpendicular to radius so the triangle in the circle is a right triangle.
Apply pythagorean theorem to find OK
[tex] {x}^{2} + 13.2 {}^{2} = 16.5 {}^{2} [/tex]
[tex]x = 9.9[/tex]
HELP PLSSS!!! ASAP I just want to make sure my answer is right
Answer:
your answer is correct
but in the third line 4.5×0 is wrong
it's 4.5×1
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A scientist has genetically modified a salmon that can grow three times larger than a native species. The modified salmon swims slower and has a shorter lifespan than the native species. Which statement
best descebes a concer if this genetically modified salmon is accidentally released into the wild?
The native salmon could swim slower
The lifespan of native salmon could decrease.
оооо
The modified salmon could breed with native salmon, altering the offspring's fitness for the environment
The presence of the modified salmon could cause a decrease in the amount of native salmon caught in fishing nets
Answer:
I got C and D, I'm not sure if there's an option for both. It's most likely C however,
Step-by-step explanation:
Given that x = 9 m and θ = 33°, work out AB rounded to 3 SF.
Answer:
Step-by-step explanation:
AB = 9tan(33), which is approximately 5.84 (rounded to 3 significant figures)
find angle that is marked by question mark
Answer:
? = 50°
Step-by-step explanation:
? = 180° - 130° = 50°
Find the value of x to the nearest tenth.
9514 1404 393
Answer:
14.7
Step-by-step explanation:
The law of sines tells you side lengths are proportional to the sine of the opposite angle.
x/sin(46°) = 7/sin(20°)
x = 7(sin(46°)/sin(20°)) ≈ 14.7
The value of x is about 14.7.
Solve for x.
11.03 = 8.78 + 0.02x
Answer:
112.5
Step-by-step explanation:
11.03-8.78=0.02x
2.25=0.02x
x=2.25/0.02
x=112.5
help please thanks to whoever answer these will get brainliest and DONT SEND A LINK OR STEAL MY POINTS IF YOU DO I WILL REPORT YOU!!!
Answer:
All is in the picture
HELP NEEDED HERE ASAP
Answer:
5
Step-by-step explanation:
Plug in 6 in place of x in the expression
1/2x+2
1/2(6)+2
3+2
5
Answer:
5
Step-by-step explanation:
We are given the expression 1/2x + 2 and are asked to find the value when x = 6.
To solve, all we need to do is to substitute x with 6 :
1/2(6) + 2
Multiply 6 by the 1 in the fraction :
6/2 + 2
Divide 6 by 2 :
3 + 2
Add :
5
Can some please helppp!!!!
Answer:
right scalene
Step-by-step explanation:
The triangle above it has a right degree angle which makes that triangle a right triangle because it shares the same line.
it is scalene because there are no angles or side that are equal to each other
When you identify what goals are conflicting, it is a part of
a)timeline
b)analysis
c)Revision
Answer: Analysis
Step-by-step explanation:
When analysing a project, one must try to find out everything that could impart on the success of the project such that any problems can be fixed and any potential problems be made contingencies for.
This is why it is here that you check to see whether and which goals are conflicting so that they can be fixed or aligned to ensure that the project comes out as a success.
How do you find the height of a cone without given volume? Radius is 9
A circular flower bed is 17m in diameter and has a circular sidewalk around it that is 2m wide. Find the area of the sidewalk in square meters. Use 3.14 for (pie sign).
The area of the sidewalk is (insert answer) m(squared)
(Round to the nearest whole number as needed.)
Answer:53.38 is the answer
Step-by-step explanation:
The radius is always half of the diameter so half of 17 is 8.5. 8.5x3.14 is 26.69. Then you add 26.69+26.69 to get the answer. (I’m not positive that this is correct)
there are two machines that can produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 217 minutes produce that many cans. If the two machines work together, how long will it take them to produce 5400 cans?
The newer machine works at a unit rate of
(5400 cans) / (180 min) = 30 cans/min
while the older machine operates at
(5400 cans) / (217 min) ≈ 24.88 cans/min
So working together, the two machines work at a rate of about 54.88 cans/min. Producing 5400 cans would then take about
(5400 cans) / (54.88 cans/min) ≈ 98.39 min
What is the degree of 12x^4 -8x+ 4x^2 - 3?
Answer:
4
Step-by-step explanation:
In this problem, we are asked to determine the degree of the given expression 12X4 - 8X + 4X2 -3. To answer this, first, we need to arrange the mathematical expression in descending order with respect to its power such as the new arrangement will become 12x4 + 4x2 -8x -3. The degree is clearly visible and it is 4. Therefore, the answer to this problem is is 4.
Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side JK.
Round your answer to the nearest tenth if necessary.
H
7.5
G
L
29
K
a
11
E
Answer:
2+2=4
Step-by-step explanation:
if I just want to be here
ASAPPPPP
21. The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at
the event. They can buy shirts for $10 each and hats for $8 each. They plan to buy at
least 5 times as many shirts as hats.
The organizers used these inequalities to determine the number of shirts, s, and hats,
h, that can be ordered.
10s +8 S 1800
h 5s
What error did the organizers make?
A. The inequalities should be equations.
B. The first inequality should be 10s + 8h 2 1800.
C. The second inequality should be s 5h.
D. The first inequality should be s + < 1800.
Create a linear equation with no solution. Use pictures and words that show your equation does not have a solution
Answer:
2x+4=2x+7
Step-by-step explanation:
2x+4=2x+7
-4 -4
2x=2x+3
-2x -2x
0=3
Zero does not equal to 3 so there's no solution
Any help is appreciated. 10 points.
CAN SOMEONE PLEASE HELP ME I NEED IT TO PASS THIS CLASS
3 is 48
2 is 132
4 is 132
Its simple
Jovan spent 2/3 of his savings on a watch. He also spent of 1/5 his savings on a bag. (a) What fraction of his savings was left? (b) How much did he spend on both the items? Tell me the steps to get the answer please, Thanks... Have A Good Day/ Night.. :D
Answer:
2/15
13/15
Step-by-step explanation:
Amount spent = sum of amount spent on watch and bag
[tex]\frac{2}{3} + \frac{1}{5}[/tex]
[tex]\frac{10 + 3}{15}[/tex]
= [tex]\frac{13}{15}[/tex]
Fraction left = 1 - amount spent
1 - 13/15
2/15
A company offers a bonus retirement plans for its executive employees. The
employees are presented with 2 options.
Option #1: They will start an account $5000 and each year earn 25% on the money
in the account. (i.e. a growth factor of 1.25)
Years Warked
2
Retirement Account $5000.00 $6250 00 $781250
Option #2: They will start an account $5000 and each year and each year there after
continue to add $5000 to the account.
Years Worked
Retirement Account 55000.00 $10,000 $15.000
Which retirement option would be worth more at the end of 20 years?
Option #1
Option #2
They are both equal at 20 years,
Answer:
option 1
Step-by-step explanation:
Option 1 . the value after 20 years can be determined using this formula
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
5000 x (1.25)^20 = $433,680.87
Option 2 = 5,000 x 20 = $100,0000
Option 1 has a higher value in 20 years
A trapezoid has an area of 50 square units. The lengths of the bases are 10 units and 15 units. find the height.
(Explain how did you solve)
Step-by-step explanation:
area = ( base 1 + base 2 ) ÷ 2 x height
50 = ( 10 + 15) ÷2 x height
50 ÷ 12.5 = height
height = 4
At srinagar , the temperature was -4°C on Monday and then it dropped by 2°C on tuesday. what was the temperature of Srinagar on Tuesday. ? On Wednesday it rose by 5°C . what was the temperature on this day
Answer:
temperature on Monday= -4°C
temperature on Tuesday= -4-2°C = -6°C
temperature on Wednesday = -6°C + 5°C = -1°C
Step-by-step explanation:
hope it helps ❤️
Aaron kept $12 000 in a bank account with an annual interest rate of 4%. After exactly 2 years, the bank chose Aaron as the winner for a prize money worth $5000. Aaron decided to invest all his savings and the prize money into a Trust Fund which offers a dividend of 4.5% per annum. When ( which year ) will all his investment value exceed $20 000?
Answer:
Initial amount P = $12000
Interest after 2 years I = 4%*2 = 8%
Investment into Trust fund:
$12000 + $5000 + 0.08*$12000 = $17960Interest amount to exceed $20000:
$20000 - $17960 = $2040Time required to get $2040:
17960*0.045x = 2040808.2x = 2040x = 2040/808.2x = 2.52 yearsThe investment will exceed $20000 in the second half of the third year
What is the average of -5, 4, 4, 5, 0?
Answer:
0
Step-by-step explanation: