Solve the equations below exactly. Give your answers in radians, and find all
possible values for t in the interval 0 (less than or equal to ) t (less than or equal to) 2 pi
If there is more than one
answer, enter your solutions in a comma separated list.
(a) sin (t) = - square root of 3 divide by 2
when t=
(b) cos (t) = 1/2
when t=
Answers
Answer:
See below (along with unit circle attached)
Step-by-step explanation:
[tex]sin(t)=-\frac{\sqrt{3}}{2}[/tex]
[tex]t=\frac{4\pi}{3},\frac{5\pi}{3}[/tex]
[tex]cos(t)=\frac{1}{2}[/tex]
[tex]t=\frac{\pi}{3},\frac{5\pi}{3}[/tex]
It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by [tex](cos(\theta),sin(\theta))[/tex] where [tex]\theta[/tex] is measured in radians.
Related Questions
A 3-inch candle burns down in 4 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context
Answers
use this equation:
b+t+3+4
Pls help me I’m super confused
Answers
Geologists collected some rock samples. Of the 12,000
grams of ore they collected, about 600 grams contain a
valuable mineral
What is the concentration of the mineral in the
sample?
5%
6%
50%
60%
Answers
Answer:
5%
Step-by-step explanation:
600 / 12000 = .05
Answer:
2 %
Step-by-step explanation:
help plslssssssssssssssss
Answers
Step-by-step explanation:
The answer is
In step 1 the multiplication property of equality was applied incorrectly
Leah goes to Buffalo Wild Wings for lunch. Her total bill was $35.50. She wants
to leave a tip that is 18% of the total bill. How much should she leave for the
server? How much did she spend in all?
Answers
Answer:
$41.89
Step-by-step explanation:
18% of %35.50 is $6.39.
$6.39+$35.50= $41.89
Answer:
She should leave $6.39 tip for the server. She paid $41.89 in all. Hope this helped! if the answer is wrong im super sorry!
Step-by-step explanation:
0.18 x 35.50 = 6.39
6.39 + 30.50 = 41.89
2 and 5/6 divided by 1 and 2/3 find the solution and write it in simplest form
Thanks for the help!!!!
Answers
Answer:
1 7/10
Step-by-step explanation:
= 17/6 ÷ 5/3
= 17 x 3
= 6 x 5
= 51/30
= 1 7/10
4+2g+5g=-66
help me
plsss
pls
Answers
Hope it helps
4+7g=-66
-4 -4
7g=-70
/7 /7
G=-10
Henry and Jose are gaining weight for football. Henry weighs 205 pounds and is gaining 2 pounds per week Jose weighs 195 pounds and is gaining 3 pounds per week.
Write an equation to represent when the weights will be the same. Let w represent the number of weeks.
what would be the equation?
Answers
Answer:
205+2w=195+3w
Step-by-step explanation:
:)
The equation to represent when the weights are the same will be 3w + 195 = 2w + 205 and the number of weeks is 10.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Henry and Jose are putting on weight for football. Henry weighs 205 pounds and is acquiring 2 pounds each week Jose weighs 195 pounds and is acquiring 3 pounds each week.
Let 'w' be the number of weeks and 'y' be the total weight. Then the equations are given as,
y = 2w + 205
y = 3w + 195
If the weight becomes the same. Then the number of weeks is given as,
3w + 195 = 2w + 205
Simplify the equation, then we have
3w + 195 = 2w + 205
3w - 2w = 205 - 195
w = 10
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Solve 3x-5 + x= 31.
09
0-12
O 12
Answers
[tex]3x-5 +x = 31\\\\\implies 4x -5 = 31\\\\\implies 4x = 31 +5\\\\\implies 4x = 36 \\\\\implies x =\dfrac{36}4\\\\\implies x = 9[/tex]
I need help plz I've tried so many ways :(
Answers
Answer:
Below in bold.
Step-by-step explanation:
0.3. e^3x = 27
Taking logs of both sides:
ln (0.3. e^3x) = ln 27
ln (0.3) + ln e^3x = ln 27
ln e^3x = ln 27 - ln(0.3)
3x = ln 27 - ln 0.3
3x = ln(27/0.3) = ln 90
x = 1/3 ln 90
x = ln (90^1/3)
Approximate value of x:
= 1.499936557
= 1.500 to the nearest thousandth.
TRUE OR FALSE
There are whole numbers that are not integers.
All rational numbers are whole numbers.
All integers are whole numbers.
All integers are rational numbers.
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section.
is the following relation a function {(-6,-3),(-6,-1),(-6,5),(-6,8)
Answers
Answer:
Step-by-step explanation:
This relation (this group of points) is NOT a function. In order to be a function, every x-value (the first number in the pair) can only be paired up with one y-value (only one partner for the x)
In this relation, -6 is paired up with four different y-values (four different partners!)
If you plotted these points on a graph, you would see they are all lined up in a vertical line. If you have learned about the vertical line test, you will see that a vertical line goes through all four points. This set of points fails the vertical line test. To be a function, a vertical line can only touch the points one at a time.
To be a function, every x can only have one y partner.
question in file .
give me brainlg anserf
Answers
Explanation
Formula to be used,
1st equation of motion, v = u + at • 3rd equation of motion,v² - u² = 2 asSolution,
Putting all the values, we get
v=u + at
⇒0 = u + (-0.5) × 20
⇒-u=-0.5 × 20
⇒u = 10 m/s
Hence, the initial velòcity of the car is 10
city of the car is 10m/s.
Now, the distance covered,
v²-u² = = 2as
⇒ (0)²-(10)² = 2 × (-0.5) × s
⇒-100 = - 1s
⇒ s = 100 m
Hence, the distance covered is 100 m.
Emily reads a story book. o the first day, she reads 1/9 of the whole book, and on the second day, she reads 24 pages. The ratio of the number of pages read to the remaining pages in the two days is 1:4. How many pages are there in this book
Answers
Answer:
Step-by-step explanation:
Let P be the number of pages
First day reads P/9 pages
Second day reads 24 pages
two days reading is P/5 (1 page read for every 4 pages left)
P/9 + 24 = P/5
P + 24(9) = 9P/5
5P + 24(9)(5) = 9P
1080 = 4P
P = 270 pages
There are 270 pages in this book.
Given that,
Emily reads a storybook the first day,
She reads 1/9 of the whole book, and on the second day, she reads 24 pages.
The ratio of the number of pages read to the remaining pages in the two days is 1:4.
We have to find
How many pages are there in this book?
According to the question,
Let, P is the number of pages,
The first day Emily reads p/9 pages of the whole book,
And the second day she read 24 pages.
The ratio of the number of pages read to the remaining pages in the two days = 1;4 = p/5.
Therefore,
The number of pages reads first day + the number of pages read the second day = The ratio of the number of pages read to the remaining pages in the two days
[tex]\rm \dfrac{p}{9} + 24 = \dfrac{p}{5}\\\\ \dfrac{p}{5} - \dfrac{p}{9} = 24\\\\\dfrac{p \times 9 - p\times 5}{45} = 24\\\\ \dfrac{9p-5p}{45} = 24\\\\\dfrac{4p}{45} = 24\\\\4p = 24\times 45\\\\4p = 1080\\\\p = \dfrac{1080}{4}\\\\p = 270 \ pages[/tex]
Hence, there are 270 pages in this book.
For more details refer to the link given below.
https://brainly.com/question/14505922
Write an equation of the perpendicular bisector of the segment with endpoints (3,-7) and (-5,3) writing non-integers as simplified fractions:
Answers
Answer:
Step-by-step explanation:
It costs $6.50 per fidget popper. How much would it cost to get 8 fidget poppers.
Answers
Answer:
$52
Step-by-step explanation:
8*6.50
Find the total amount and total interest after one year if the interest is compounded half yearly
Principal = 4000
Rate of interest = 10% per annum
Total amount =
Total interest =
Answers
Total amount=p(1+(r/k))^(k*t)
p=principal
r=rate
k=number of times compounder per year
t=number of years
So 4000(1+(.10/2)^(2*1)=4410
4410 is the total amount owed
4410-4000=410
410 is the total interest owed
erica takes the bus to work. the bus ride to work costs her $2.00 each time. She could buy a bus pass for a one-time fee of $15 and would only pay $1.00 each time to ride the bus. how many times would she have to take the bus in order for the cost to be the same?
Answers
Answer:
i think 15 times
Step-by-step explanation:
2×x = 15+(1×x)
2x = 15+x
x = 15
What is the value of the expression when a=3 and b=4
Answers
Answer:
The equation
Step-by-step explanation:
I need the equation so I can answer your question.
What number is the opposite of
3/11
O A. - 3/11
O B. -11/3
C. 11/3
O D. 1/3
Answers
Answer:
I believe the answer is A.
What is 180 in./sec in m/min?
Answers
274.32 is the answer. Tell me if I need to be more precise.
The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x?
If it helps, consider an example where you substitute 3 for x, 5 for y, and 8 for z.
y is z less than x.
y is z more than x.
x is y less than z.
x is y more than z.
Answers
Answer:
C. x is y less than z
Step-by-step explanation:
x+y=z
by using transposition
x = z-y
whatever x is, it is equal to the value of y taken from z
Choose the symbol that correctly compares the fractions below.
Answers
Answer: A. ( > )
Step-by-step explanation: When you learn fractions, the fraction with the smaller numerator ( the top number) is the greater fraction because it contains more parts of the whole.
Pls help with my maths!!!
Answers
Step-by-step explanation:
[tex] \frac{x + 6}{ x} = \frac{5}{2} [/tex]
Then collect like terms
answer is x = 4
Answer:
x = 4
Step-by-step explanation:
x + 6/x = 5/2
2(x + 6) = 5(x)
2x + 12 = 5x
12 = 5x - 2x
12 = 3x
12/3 = x
4 = x
Hence,
Value of x is 4
Alan has $400 in his checking account. He withdraws $50 each week. The amount remaining in his account, f(x), after x weeks is
represented by a function. What is the range of the function?
Answers
Answer:
{0, 50, 100, 150, ..., 350, 400}
Step-by-step explanation:
The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.
{0, 50, 100, 150, ..., 350, 400}
_____
The expression for f(x) is ...
f(x) = initial balance - (rate of withdrawal) × (time period)
f(x) = 400 -50x
This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."
However, as applied to this problem, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.
PLEASE HELP!!!!!!!!!
Which of the following are properties of parallelograms? Select all that apply!
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Both pairs of opposite sides are congruent.
Both pairs of opposite of angles are congruent.
Answers
Answer:
If I have to guess, I’ll say
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
Answer:
Consecutive angles are supplementary.
Both pairs of opposite of angles are congruent.
Both pairs of opposite sides are congruent.
Step-by-step explanation:
I took the quiz and this was the correct answer.
multiply (2x+3y)(x-y)
Answers
Answer:
2x^2 +xy - 3y^2
Step-by-step explanation:
2x(x-y) +3y(x-y)
2x^2+xy - 3y^2
When buddy ran away after his dad yelled at him dad and step brother searched 10% of New York for him what is this number as a fraction written in simplest form
Answers
Answer:
1/10
Step-by-step explanation:
they searched 1/10of New york
10%=10/100
=10%=1/10
Answer : 1/10
Step - by - step explanation :
10% = 10/100 ( because percentages are always out of 100 )
10/100 divided by 10/10 = 1/10
USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W+5) AS AN EQUIVALENT EXPRESSION
Answers
Answer:
w = 5
Step-by-step explanation:
Step 1: Use the Distributive property to get 6w + 30.
Step 2: Divide 6w by 6 and cancel out both 6s.
Step 3: Divide 30 by 6 to get 5, and you have the answer.
How do u do these percentages questions
Answers
Answer:
Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...
Carry out a mathematical process on the number to be converted to a percentage. ...
Multiply the result of the mathematical process by 100. ...
Find the percentage of the original or real number. ...
Multiply the final number by 100.