Find the exact value of each trigonometric function using the unit circle
Answer:
Step-by-step explanation:
8)
co-terminal angle for -960... can you tell me? :D w/o looking at my answer below?
Your answer for co-terminal angle is ______________ :)
960 - 360 = 600
600 - 360 = 240
this is telling us that going in a clock wise direction.. as the -960 is, that the co-terminal angle is 240, which seems about right.. looking at the graph. so now. let's take 240 away from 360 to find that co-terminal angle but going in the positive direction or the counter clock wise direction
360-240 = 120
and yes.. that does look like 120 ° going in the positive direction.
now do you know the sec identity to use sin and cos???
look at the below diagram
sin sec
cos csc
tan cot
the trig function line up like that for a reason
sin 1/sin
cos 1/cos
sin/cos cos/sin
I put them in their sin and cos identities.. see.. they all line up that way
sec = 1/sin
csc = 1/cos
tan = sin/cos
cot = cos/sin
now... find
sec(120) = 1/sin(120)
do you know how to find sin(120) ?????
put it back to it's co-terminal angle in the 1st quadrat... I hope you know how to do this.. i'll just speed along... assuming you do
sin(120) = sin(60)= √3/2
so sec(120) = 1 / √3/2
so sec(120) = 2/ √3
10)
csc(315) = 1/cos(315)
find the co-terminal angle that you know in the 1st quadrant again...
so 315 = 45 in the 1st quadrant.. I just looked and can see that
so
csc(315) = 1/cos(315 = 1/cos(45) and cos(45) = √2/2
so then 1 / √2/2 = 2 / √2
csc(315) = 2 / √2
what i'm really wondering about.. is .. where is question 9)
:DDD
8/9÷3= 7/8 1/5 8/27 2/3
HELP PLEASE !!!
A store owner asks each person to write "Yes" or "No" on a slip of paper as they leave, secretly writing down whether they were happy with their experience. At the end of the day, the owner selects 12 slips at random and looks at them.
These were the results: yes, yes, yes, no, yes, no, yes, yes, no, yes, no, yes
Estimate the proportion of all shoppers who were happy with their experience that day.
On a different day, the owner found that 25% of the 12 selected slips were marked "Yes." Should the store owner believe that these two results reasonably represent the overall proportion of happy shoppers, or should the owner gather more data? Explain how you know.
Answer: the owner should gather more.
Step-by-step explanation:
So they can have more overall data to make sure they are correct.
The owner should gather more data.
What is proportion?"A proportion is an equation in which two ratios are set equal to each other."
Consider given situation,
The results on the first day: { yes, yes, yes, no, yes, no, yes, yes, no, yes, no, yes}
Total slips = 12
number of slips marked yes: n(Yes)
On day 1, n(Yes) = 8
So, the proportion of happy shoppers would be,
= 8/12
= 67.7%
This means, approximately 68% of the 12 selected slips were marked "Yes"
On a different day, the owner found that 25% of the 12 selected slips were marked "Yes"
This means the percentage of happy shoppers decreased.
From these two results we cannot determine where people are happy shoppers or not.
So, the owner should gather more data.
Learn more about proportion here:
https://brainly.com/question/6204741
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5d + 4 + 2 + - 9 + 3d + 4c
Answer:
8d + 4c - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
5d + 4 + 2 + -9 + 3d + 4c
Step 2: Simplify
Combine like terms (d): 8d + 4 + 2 - 9 + 4cCombine like terms: 8d + 4c - 1Answer:
8d + 4c - 3
Step-by-step explanation:
5d + 4 + 2 + - 9 + 3d + 4c
5d + 3d + 4c + 4 +2 - 9
8d + 4c - 3
WILL GIVE BRAINLIEST! Please help
Waterbrook Farm Includes 240 acres of cropland. The farm owner wishes to plant this
acreage in both corn and soybeans. The profit per acre in com production is $325 and
In soybeans is $180. A total of 320 hours of labor is available. Each acre of com
requires 2 hours of tabor, whereas each acre of soybeans requires 1 hour of labor.
Lot x = the number of acres planted with corn.
Let y = the number of acres planted with soybeans.
1) What would the farm's profits be if they planted only corn?
2) What would the farm's profits be if they planted only soybeans?
3) Find the equation for the Waterbrook Farm's profit (P = ),
4) Make a system of inequalities based off the constraints of the Farm.
5) In DESMOS. graph the system of inequalities
6) How should the land be divided between the corn and soybeans in order to yield
the mamum profit?
7) What is the maximum profit of planting both com and soybeans for the Farm?
Answer:
1) $52,000
2) $43,200
3) P = 325 × x + 180 × y
4) x + y ≤ 240
2·x + y ≤ 320
325 × x + 180 × y ≤ 52,000
5) Please find a similar graph created with MS Excel
6) Corn will have 80 acres
Soybean will have 160 acres
7) $54,800
Step-by-step explanation:
The acres of cropland at the Waterbrook Farm, A = 240 acres
The profit per acre in corn production, p₁ = $325
The profit per acre in soybean production, p₂ = $180
The hours of labor required by each acre of corn = 2 hours
The hours of labor required by each acre of soybeans = 1 hours
The number of acres planted with corn = x
The number of acres planted with soybeans = y
1) The farm's profit, 'P', if they planted only corn is P = p₁ × A
∴ P = $325/acre × 320 hours/(2 hours/acre) = $52,000
The farm's profit if they planted only corn, P = $52,000
2) The farm's profit, 'P', if they planted only corn is P = p₂ × A
The required labor for cultivating the 240 acres at 1 hour/acre = 240 hours of labor
Therefore, the labor is sufficient for the entire farmland, we get;
The profit, P = $180/acre × 240 acres = $43,200
∴ The farm's profit if they planted only soybeans, P = $43,200
3) The equation for the Waterbrook Farm's profit, 'P' can be found, depending on the area of the farm used for the corn and the soybeans as follows;
P = 325 × x + 180 × y
4) The system of inequalities includes;
x + y ≤ 240
2·x + y ≤ 320
325 × x + 180 × y ≤ 52,000
5) Using DESMOS, we have;
The graph of the systems of inequalities is plotted and a graph similar to the attached graph created with MS Excel is found
6) The maximum profit point found using DESMOS is (80, 160)
Therefore, for maximum profit, 80 acres should be used for corn while 160 acres should be used for soybeans
7) The maximum profit of planting both corn and soybeans is found from the profit obtained from the land divided between corn and soybeans in order to yield maximum profit as follows;
P = 325 × 80 + 180 × 160 = 54,800
The maximum profit of planting both corn and soybeans, P = $54,800.
If a circle is cut from a square piece of fabric, how much fabric would be leftover? Use 3.14 for pi. (round to nearest hundredth).
Answer:
0.22 square units
Step-by-step explanation:
Area of the left over fabric = Area of the square piece - Area of the circle
let the side length of the square piece be 1 unit
Area of the square piece = 1 * 1
Area of the square piece = 1 square units
Area of the circle = πd²/4
d is the diameter of the circle = 1 unit (equivalent to the side length of the square)
Area of the circle = π(1)²/4
Area of the circle = 3.14/4
Area of the circle = 0.785square units
Area of the left over fabric = 1- 0785
Area of the left over fabric = 0.215 square units
Hence the amount of fabric that would be leftover is 0.22 square units
Answer:
0.22 square units
Step-by-step explanation:
Hope this helps
Which statement best describes hopping viewpoint and purpose in this excerpt?
Answer: Sry but can I see the excerpt. Thanks
Step-by-step explanation:
Answer:
A. edge 2021
mark me brainliest
is it possible to make a triangle that has the angles measuring 60° 30° and 45°
Answer:
No.
Step-by-step explanation:
It is not possible to make a triangle that has the angles measuring 60 degrees, 30 degrees and 45 degrees because the angles of a triangle have to add up to 180 degrees. 30+45+60=135
Therefore, these angles would not measure up to 180 degrees. It is not possible to make a triangle that has these angles. These angles measure up to 135 degrees not 180 degrees.
help please. it would really help if someone explained
Please help My brain needs help!
Answer: c
Step-by-step explanation: there is already 1/4 of the pie and we know that 80 people have chosen 80, so the 3 left have to add up to 240.
Given an example of a binomial and an example of a trinomial.
Answer:
Step-by-step explanation:
A binomial might look like x + 2. Note how it has two terms. " bi' " is a prefix meaning " two. "
A trinomial might look like 2x^2 - x + 1. It has three terms.
What is the value of this expression when X=-1 and Y = 2?
4x3y2
Answer:
-16
Step-by-step explanation:
4x3y2
replace variables with numbers
4×-1×2×2
-4×4=
-16
Find the slope of the line that passes through (3, 5) and (8, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: Answer is B
Step-by-step explanation:
What is the range of the graph below?
Answer:
B) -4 < y
Step-by-step explanation:
The lowest point on the y axis of the graph is -4 and everything else is higher
Manoj went to the shopping mall and saw the price list in the shoe store as mentioned below in
the table. Then, he decided to buy pair of casual shoes and formal shoes. So, he gave 4 notes of
Rs. 1000. He was returned 5 notes in denominations of Rs. 500 and Rs. 100. How many notes of
Rs. 500 and Rs. 100 did he get? Find out.
Type of Pair of Shoes
Price List
Casual Shoes
Rs.1,300
Formal Shoes
Rs. 1,800
Sports Shoes
Rs. 1,400
Answer:
A Rs. 500 note, and four Rs. 100 notes.
Step-by-step explanation:
The cost of the two shoes = Rs.1,300 + Rs. 1,800
= Rs. 3,100
He gave 4 notes of Rs. 1,000 = 4 x Rs. 1,000
= Rs. 4,000
Manoj's expected change = Rs. 4,000 - Rs. 3,100
= Rs. 900
Since he was returned 5 notes in the denominations of Rs. 500 and Rs. 100, then;
Rs. 500 + Rs. 100 + Rs. 100 + Rs. 100 + Rs. 100 = Rs. 900
Therefore, Manaoj was returned a Rs. 500 note, and four Rs. 100 notes.
can someone help me real quick?
The equation for the circle is: x2+y2+4x+2y−56=0 . What is the center of the circle? Enter your answer by filling in the boxes.
Answer:
Step-by-step explanation:
It's x=7.1 plus 22
Answer:
Center: (−2,−1)
Step-by-step explanation:
( use math
way )
Find the slope of the line that passes through the points (2, 1) and (-4, -5).
Answer:
The slope is 1
Step-by-step explanation:
(2, 1) and (-4, -5)
Slope:
m=(y2-y1)/(x2-x1)
m=(-5-1)/(-4-2)
m= (-6)/(-6)
m = 1
Answer:
Hi! The answer to your question is [tex]Slope = 1[/tex]
Step-by-step explanation:
[tex]Slope = y2-y1/x2-x1[/tex]
[tex]-5-1/-4-2[/tex]
[tex]= 1[/tex]
[tex]Slope = 1[/tex]
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☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Measuring the drug use of the residents of a city has always been difficult. In the past, current drug use was estimated from questionnaire responses, but due to the social stigma associated with drug use, a large amount of response bias was known to be present. A proposed method for measuring a city's current drug is to measure the amount of drugs detected in the inflow to the city's wastewater treatment facility. This method was used to compare the Marijuana usage, through the measurement of the active ingredient THC-COOH, of London versus Milan over a 3 week period. Samples were made at randomly chosen times throughout the day for 21 consecutive days in both cities. Units are mg/day/1,000 people. What are the two independent samples
Aisha has an aquarium that can hold 150 cubic feet of water. The aquarium is 3 ft high. Which of the following could be the dimensions of the base.
A. 4 ft by 12 ft.
B. 5 ft by 12 ft.
C. 6 ft by 7ft.
D. 10 ft by 15 ft
Answer:
B. 5 ft by 12 ftStep-by-step explanation:
Volume of the aquarium is approximately 150 cubic feet and its height is 3 feet.
The base area is:
150/3 = 50 square feetThe answer options:
A. 4 ft x 12 ft = 48 sq ft < 50sq ft, noB. 5 ft x 12 ft = 60 sq ft > 50 sq ft, yesC. 6 ft x 7 ft = 42 sq ft < 50 sq ft, noD. 10 ft x 15 ft = 150 sq ft > 50 ft, no as too bigIf mZADB = 15 then what is m ACB?
A
B
D
Put in order from least to greatest
89.03
98.03
9.83
Answer:
9.83
89.03
98.03
Step-by-step explanation:
Easy
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 7. If there were 3260 yes votes, what was the total number of votes?
Can whoever answes this please explain how. I'm completely lost.
Answer: 8184 votes
i suck at explaining things im sorry but if u have any questions, feel free to ask
Step-by-step explanation:
3260÷5=652
652(7)=4564
3260+4564=8184
What is the value of x to the nearest tenth?
29.6
X
73°
33°
Help please I need help
Answer:
EI SONA
Step-by-step explanation:
Linda is making a quilt for her granddaughter. She bought 3 1/4 yards of fabric. Her total cost was $10. What was the cost per yard?
(Complex fraction)
Answer:
13 /40
Step-by-step explanation:
Divide
13 over 4
13 /4 ÷ 10 = 13 over ( 4 × 10 )
13 over 4 × 10
= 13 over 40
13 /40
What is the distance between the following points
Answer:
5
Step-by-step explanation:
Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle
please help me with the question
3. Find the measure or arc JK.
Hint - arc LK is a semi circle
A.) 90
B.) 116
C.) 128
D.) 130
Answer:
C
Step-by-step explanation:
KL = 180°
JL = 2×26° = 52°
KL = KJ + JL
KJ = KL - JL
KJ =180° - 52°
KJ = 128°
What is the value of b for the equation 5^6×5^b=5^12
Answer:
6
Step-by-step explanation:
[tex]x^y*x^n=x^{n+y}\\6+b=12\\b=6[/tex]
Answer:
6
Step-by-step explanation:
We are given here a exponential equation and we need to find out the value of b in the equation. So the given equation is ,
⇒5⁶ × 5^b = 5¹²
⇒ 5^(6+b) = 5¹² [ using aⁿ × aⁿ' = a^(n + n') ]
On comparing the bases and powers we have ,
⇒ 6 + b = 12
⇒ b = 12 - 6
⇒ b = 6
Hence the value of b is 6 .