Answers
Answer:
sin = -√3/2cos = -1/2tan = √3sec = -2csc = (-2/3)√3cot = (√3)/3Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
Additional comment
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
Related Questions
Can anybody tell the answer of -12xy+4xy
Step By Step because I am really confused.
Answers
Collect the like terms which means add negative 12 + positive 4 , then you get -8 and just add xy to the end because the like terms were collected. Your best bet is to try to create a number line and go off of that if you are still confused.
A sports arena is in the shape of a rectangle. The arena has a length of (x − 3) feet and a width of (2x + 4) feet. Which of the following represents the area of the arena?
Answers
Answer:
2x² - 2x - 12
(x-3)(2x + 4)
expand brackets:
2x² + 4x - 6x - 12
then simplify:
2x² - 2x - 12
hope this helps
brainliest please?
x
Answer:
2x² - 2x - 12 Step-by-step explanation:
4. A class read 3,452 pages the first week and 4,090 more pages in the second week than in the first week. How many pages had they read by the end of the second week?
Answers
Answer: 638
Step-by-step explanation:
4090 - 3452 = 638
Hope this helps!
Multiple Choice
Evaluate.
1. -59 - 6 for g=-2 (1 point)
A.4
B.16
C.10
D.-13
Answers
Im in high school this is simple math so. Your welcome
By switching service providers , a family's telephone bill decreased from about $ 50 a month to about 44 . What was the percent decrease ?
Answers
Answer:
12% decrease
Step-by-step explanation:
50 - 44 = 6
6/50 = 0.12 or 12% decrease
Help Me Please. ? And Thank You
Answers
Answer:
20
Step-by-step explanation:
how, because 3 is 12, 4 is 16 because multiply by 4
what's 2 + 1 ? this thing is making me type 20 words
Answers
Answer:
3
Step-by-step explanation:
Answer:
I'm pretty sure the answer is 3
Step-by-step explanation:
I typed it into my calculator and it came back as 3 so...
The number of bacteria in a refrigerated food product is given by N(T)
4
29T2 - 115T + 52,
When the food is removed from the refrigerator, the temperature is given by T(t) = 6t + 1.5, where t is
the time in hours.
Find the composite function N(T(t)):
N(Tt))
Find the time when the bacteria count reaches 500.
Time Needed =
hours
Answers
Answer:
Step-by-step explanation:
Given
N(t) = 29t²-115t+52
T(t) = 6t+1.5
To get the composite function N(T(t)), we will follow the steps
N(T(t)) = N(6t+1.5)
To get N(6t+1.5), we will replace t in N(t) with 6t+1.5 as shown:
N(6t+1.5) = 29(6t+1.5)²-115(6t+1.5)+52
N(6t+1.5) = 29(36t²+18t+2.25)-690t-172.5+52
N(6t+1.5) = 1044t²+522t+65.25-690t-172.5+52
N(6t+1.5) = 1044t²+522t-690t+65.25-172.5+52
N(6t+1.5) = 1044t²-168t-55.35
Hence;
N(T(t)) = 1044t²-168t-55.35
To determine the time when the bacteria count reaches 500, we will equate the expression to 500 and find t
500 = 1044t²-168t-55.35
1044t²-168t-55.35-500= 0
1044t²-168t-555.35 = 0
Factorize
t =140±√1630115/1740
t = 0.81
Hence the time reached when the bacteria was 500 hours is 0.81hours
Are the following lines parallel, Perpendicular OR neither
A. 4x - 2y = -12
B. 3x + 6y = 24
Answers
Answer:
Neither I am sure because if to the equation the answer is same
-5+2a=4a-4-3a help plz and thank you
Answers
Answer:
a=1
Step-by-step explanation:
To make this easier, combine like terms first.
-5+2a=4a-4-3a
-5+2a=a-4
Then, add 5 on both sides.
-5+2a=a-4
+5 +5
2a=a+1
Now, subtract a on both sides.
2a=a+1
-a -a
a=1
Hope this helps you out!!!! Have an amazing day :3
The school field trip policy requires 3 adults for every 9 students. If the school orders 360 tickets for a play, how many adults and how many students are there? PLEASE ANSWER QUICK, I WILL GIVE BRAINLIEST!
Answers
Answer:
270 students and 90 adults
Step-by-step explanation:
3a=9s a+s=360
a=3s
(3s)+s=360
4s=360
s=90
3a=9(90)
3a=810
a=270
Help please! urgent!!!!!!!
Answers
Answer:
The mapping represents y as a function of x, because each x value corresponds to exactly 1 y value.
Step-by-step explanation:
Functions are defined to map out to only one value so that rules everything else out and leave us with only one answer.
Hope it helps.
Gabi has 7 bags of apples with x apples each. a. Write an expression to represent the total number of apples.
Answers
Answer:
7x
Step-by-step explanation:
Which pair of angles shares ray a f as a common side?
Answers
Answer:
it's the last one.
Step-by-step explanation:
both of them have ÀF as part of their angle.
Answer:
Step-by-step explanation:
it would the the second one
Make a list of professionals who routinely apply geometry in their work. Start by reading about these careers that use geometry
Answers
Answer:
Architect
Surveyor
Mechanical Engineer
Drafter
Step-by-step explanation:
Architects utilize geometric principles while designing layouts for their ongoing projects, which can include buildings, electrical systems, and plumbing architecture.
Surveyors use geometry to take exact measurements of boundaries for different types of property.
Mechanical engineers, some of the most diversified engineers, use a multitude of geometric concepts to design mechanical devices, or update existing structures
Drafters use the same geometric knowledge and applications as architects and engineers, drafters create design plans with the use of computer-aided design (CAD) software.
Answer:
architects
civil engineers
designers who use computer-aided design
astronomers
air traffic controllers
interior designers
jewelry designers
painters
photographers
sculptors
landscape designers
carpenters
plumbers
Step-by-step explanation:
plato/edmentum
Which students plant exactly 6inches tall at week 4
Answers
Answer:
we need options and stuff
Step-by-step explanation:
other wise cant help sorry
5(x-6)+3x=.75(2x-8)
solve.
Answers
Answer:
Step-by-step explanation:
5(x-6)+3x=.75(2x-8)
5x - 30 + 3x = 1.5x - 6
6.5x = 24
x = 3.7
Which is the standard form equation?
Answers
9514 1404 393
Answer:
d 4x +y = 17
Step-by-step explanation:
The only equation satisfied by the given point is also in standard form:
4x +y = 17
__
Trying the given point in the different equations, we have ...
a) 4x -y = 4(5) -(-3) = 23
b) 4x +y = 4(5) +(-3) = 17
c) -4x +y = -4(5) +(-3) = -23
d) 4x +y = 4(5) +(-3) = 17 . . . . equation D matches the point
Solving for y, we have ...
y = -4x +17 . . . . a slope of -4 . . . . equation D matches the slope
What is −5/6÷9/10? DO YOU LIKE CHEESE?
−27/25
−4/3
−25/27
−3/4
Answers
Answer:
− 25 /27
Step-by-step explanation:
Answer:
-25/27
Step-by-step explanation:
get fraction calculator plus very helpful on Android and Apple
find the value of each missing variable? y=
Answers
Answer:
The symbol stands for an unknown number, the symbol y stands for an unknown number and the symbol 2 stands for a known number, two. In algebra when two symbols that stand for a number are placed beside each other the operation between them is taken to be multiplication.
Step-by-step explanation:
Write the slope intercept form equation of the line that passes through the point (4,3) and is parallel to y=5/4x+1
Answers
how to simplify -2n + 11 + 6n
Answers
Answer:
4n+11
Step-by-step explanation:
-2n+6n=4n
Hope this helps! :)
Answer:
4n+11
Step-by-step explanation:
Move the variables together
-2n+6n+11
4n+11
Describe two different ways to use transformations to change f(x) = x into g(x)=-3x-12
Answers
Answer:
See below
Step-by-step explanation:
GivenFunction f(x) = xTransformation ways1. Reflection by a factor of (-3) and vertical shift down -12 units
f(x) = x → (-3) ⇒ h(x) = -3x → (-12) ⇒ g(x) = -3x - 122. Vertical shift up by 4 units and reflection by a factor of (-3)
f(x) = x → (+4) ⇒ h(x) = x + 4 → (-3) ⇒ g(x) = -3x - 12Solve the equation for x
Answers
Answer:
There is no answer for x
Step-by-step explanation:
5 (x+2) +2x URGENT ANSWER FAST PLEASE!!
Answers
5x + 10 + 2x
7x + 10
Answer:
7x+10
Step-by-step explanation:
use distributive property on 5(x+2)
your expression is now 5x+10+2x
Combine like terms so now your answer is 7x+10
Hope this helps
Are the lines y= -x-2 and 4x-4y =16 perpendicular? Explain
Answers
Answer:
Step-by-step explanation:
Tamara has $30,000, part or all of which she wants to invest into a combination of corporate bonds and municipal bonds. She wants to invest no less than $8,000 into corporate bonds, and at least three times as much into corporate bonds than into municipal bonds. Let x be the amount invested in corporate bonds, and let y be the amount invested in municipal bonds. Which system of inequalities describes Tamara’s investment options?
Answers
Answer:
The system of inequalities describes Tamara’s investment options are as follows:
[tex]8000\leq x[/tex]
[tex]3y\leq x[/tex]
Step-by-step explanation:
Total amount with Tamara = $30,000
Let [tex]x[/tex] be the amount invested in corporate bonds, and let [tex]y[/tex] be the amount invested in municipal bonds.
She wants to invest no less than $8,000 into corporate bonds.
So, the inequality is [tex]8000\leq x[/tex]
Also, she wants to invest at least three times as much into corporate bonds than into municipal bonds.
[tex]3y\leq x[/tex]
The system of inequalities describes Tamara’s investment options are as follows:
[tex]8000\leq x[/tex]
[tex]3y\leq x[/tex]
please hurry i need this fast
Answers
Answer:
option 4
Step-by-step explanation:
the first movement is a translation and then it is reflected over the y axis
Answer:
A
Step-by-step explanation:
What proportion of these motors will last somewhere between 8 and 11 years
Answers
Answer: What Proportion Of These Motors Will Last Somewhere Between 8 And 11 Years? 2. What's The Probability That A Randomly Selected Motor Will Last More
the number of standard deviations a value is from the mean ... Suppose X ~ N(8, 1). ... Find the probability that a CD player will last between 2.8 and six years. a. ... A child who weighs 11 kg is one standard deviation above the mean of 10.2 kg. b. ... There is about a 68% chance that the number of heads will be somewhere.
It is well-known that in Hanover in the Spring, it is either sunny or rainy every day, and the probability that the weather one day is the same as the weather the previous day is 2/3. Suppose it was sunny on May 1st and May 10th. What is the probability that it was sunny on May 3rd
Answers
Answer:
0.44
Step-by-step explanation:
May 1st was a sunny day. May 10th was a sunny day. The date closest to May 3rd is May 1st so analysis can start from there.
The probability that the weather one day is same as the weather on the previous day = 2/3
In this light, the probability that May 2nd was a sunny day is 2/3 (since May 1st was sunny).
The probability that it was sunny on May 3rd is 2/3 of 2/3 = 2/3 × 2/3 = 4/9 = 0.44