If θ is an angle in standard position whose terminal side lies in quadrant III and sin θ=-√3/2, find the exact value of the tan θ
Answers
Answer:
C) √3
tanθ = √3
Step-by-step explanation:
Step:-1
Given that θ be an angle in standard position whose terminal side
Given that the angle
sinθ = [tex]\frac{-\sqrt{3} }{2}[/tex]
Given that the Opposite side AB = [tex]\sqrt{3}[/tex]
Hypotensue AC = 2
Step(ii):-
By using Pythagoras theorem
AC² = AB² +BC²
BC² = AC² - AB²
BC² = 4 - (√3)²
= 4-3
BC = 1
Adjacent side(BC) = 1
Step(iiI):-
Given that 'θ' lies in the third quadrant so tanθ is positive
tanθ = [tex]\frac{AB}{BC} = \frac{\sqrt{3} }{1}[/tex]
Answer:
b. -1/2
Step-by-step explanation:
:)
Related Questions
7 ft equals blank inches
Answers
Answer:
it is 84 inches all together
Answer:
84 inches
Step-by-step explanation:
have a good day
may i please get a branlillest
Please help me I tired of keep asking. If you have a heart you would help me and give me the right answer Please (NO LINKS) (NO LYING )
Answers
Answer:quit
Step-by-step explanation:that looks lard
sarah has 3 dozen eggs. she sold 3/4 of her eggs, how many eggs did she sell?
Answers
Answer:
27
Step-by-step explanation:
Amelia earned $100 on a $1000 investment with a bank for a 3-year term. what rate did the bank offer her?
Answers
Answer:
3.33%
Step-by-step explanation:
Rate = 100xSI / PxT
P = 1000
SI = 100
T = 3
Rate = 100 x 100 / 1000 x 3 = 3.33%
Use the Distributive Property to
REWRITE 5(p - 8)
Answers
5p - 40
How many negative real zeros does f(x) = x^5 - 2x^4 - 4x^3 + 4x2 – 5x + 6 have?
A. 3
B. 2
C. 1
D. 0
Answers
I need help please help
Answers
Keisha is babysitting at $8 per hour to earn money for a car. So far she has saved $1300. The car that Keisha wants to buy costs at least $5440. Write and solve an inequality to determine the amount Keisha still needs to earn for the car.
Answers
Answer:
$4100
Step-by-step explanation:
For Kaisha to get this car we have these information available
Amount saved = $1300
The cost of the car = $5400
Let The amount left to complete the car = k
We have this equation
K + $1300 = $5400
K = 5400 - 1300
K = 4100
Therefore Kaisha still needs to earn an additional amount of $4100 for the total amount of the car to be completed.
Which answer best describes the shape of this distribution? skewed left skewed right uniform bell-shaped
Answers
Answer:
Skewed right
Step-by-step explanation:
Most of the data is to the right, so it's not skewed left.
Uniform is mostly even, so not that either.
Bell shape is centered and vaguely triangular, so incorrect, hence the only remaining option is skewed right.
Hope this helps :)
Stay Cold,
Brook
The graph of a line and and exponential intersect twice, once, or not at all. Describe the possible number of intersections of each of the following pairs of graph. Your solution to each part should include all of the possibilities and a quickly sketched example of each one. (Part 1)(SHOW WORK)
a. A line and a parabola
b. Two different parabolas
Answers
a) A line can intersect a parabola at 2 points, 1 point, or no points respectively. The only possible way at which it intersects at 1 point, would be if it were tangent to the parabola. [Check first attachment]
b) Two different parabolas can intersect at 2 points, 1 point or no points respectively. [Check second attachment]
It is possible for 2 parabolas to intersect at 4 and even 3 points. But one of the parabolas would be on it's side. You can consider those cases.
Help please! I asked this question three times and my session is about to start I really need to submit it.
* can you write the answer as a text?
The question will be in the picture (13,16,17,19)
Answers
Answer: 13) 6
I dont know 16 or 17
19) 33
Step-by-step explanation:
For the following studies in which tests comparing two means are conducted, select whether the populations are independent or matched pairs:
a. A study is conducted to see what effect a new drug has on dexterity. A random sample of 30 people is chosen. They are given a series of tasks to perform and a score reflecting their performance. A dose of the drug is administered to the 30 people, and they are then given a similar series of tasks to perform and scored again.
b. A study is conducted to determine the difference between the average amount that people spend on durables and non-durables when they go shopping. A sample of people is chosen and their shopping purchases are observed.
c. A study is conducted to determine if there is a difference between the average length of time spent in traffic on the way to work and the average length of time spent in traffic going home from work for people in a city. A random sample of workers is chosen and asked how long they spend getting to work. Another separate random sample of workers is chosen and asked how long they spend getting home from work.
Answers
Answer:
a. Independent
b. Matched
c. Independent
Step-by-step explanation:
If the sample is chosen randomly and there is no biasness in the selection of sample from the population then the selected sample is independent. The matched pairs are when the selection process involves a relation with the sample selected with the desired test results.
We can conclude that:
a. the population is independent.
b. the population is matched.
c. the population is independent.
What are Independent and Matched Populations?If a researcher selects a sample from an entire population under study in a random and unbiased manner, the sample population is aid to be independent.
If the selection process in drawing the sample involves a relation with what is expected from the test results, then they are is matched pairs.
Thus, we can conclude that:
a. the population is independent.
b. the population is matched.
c. the population is independent.
Learn more about independent and matched populations on:
https://brainly.com/question/17143411
What is the area of a rectangle with a length of 7 feet and a width of 3 ¾ feet?
Answers
Answer:
105/4 ft^2
Step-by-step explanation:
Multiply length and width: 7*15/4 = 105/4 ft^2
What is $6.977 rounded to the nearest cent
Answers
Answer:
6.98
Step-by-step explanation:
You just round the seven up
Identify all the acute angles in the figure.
Answers
Acute angle is an angle under 90 degrees
help with math please it means the world to me!!
Answers
Answer:
10 units^2
Step-by-step explanation:
please answer this correctly without making mistakes.I want ace,experts and genius people to answer this correctly without making mistakes
add q and 5, add 2 to the result, then add what you have to 4
Answers
Answer:
q+11
Step-by-step explanation:
you have q and you add 5
q+5
they want you to now add 2
q+5 +2
5+2=7
q+7
now add 4
q+7+4
7+4=11
the final answer is q+11
I need help with this problem please.
Answers
Step-by-step explanation:
Airplane One 425m/h x 2h= 850 miles traveled N5°W
Airplane Two 530m/h x 2h= 1060 miles traveled N67°E
5 degrees + 67 degrees = 72 degrees divergence of the Airplane One and Two
Draw a triangle, the smallest side is 850 and adjacent to 1060 side. The angle between these two sides is 72 degrees
Use the acronym SOH CAH TOA to find the side which is the distance between the 2 airplanes after 2 hours
sine 72= opposite/hypotheneus
sine 72= opposite/1060
opposite = (sine 72)(1060)= 1008 miles distance between Airplane One and Airplane Two
Tess works at a sandwich shop. When assembling their turkey sandwich, they are instructed to use 5 pieces of sliced turkey and 2 pieces of cheese. If Tess is assembling a party platter of these turkey sandwiches and uses 12 pieces of cheese, how many slices of turkey will she use?
Answers
Ashley and Emma are reading the same article. Ashley is on page 1 of the article, but she can read 1 page per minute. Emma is already on page 5, but reads a page every 3 minutes.
What page is Ashley on after 5 minutes.
What equation can be used to represent the amount Emma has read?
How many minutes does it take before Ashley and Emma have read the same amount
Answers
Answer:
Part A)
Ashley will be on the sixth page.
Part B)
[tex]\displaystyle p=\frac{1}{3}m+5[/tex]
Part C)
Six minutes.
Step-by-step explanation:
Ashley is on the first page and she can read one page per minute.
Emma is on the fifth page and she can read one page every three minutes.
Part A)
We can write an equation for Ashley. Let m represent the amount of minutes that has passed.
Since she is already one the first page, our initial value is 1.
She reads one page every minute. So, after m minutes, she would have read m pages.
Therefore, our equation is:
[tex]p=m+1[/tex]
Where p is the total pages read after m minutes.
Then after five minutes, Ashley will be on the:
[tex]p=(5)+1=6[/tex]
Ashley will be on the sixth page after five minutes.
Part B)
Since Emma reads one page every three minutes, we can say that she reads 1/3 of a page every minute.
Since she started on page five, her equation is:
[tex]\displaystyle p=\frac{1}{3}m+5[/tex]
Part C)
So, both of their pages read must be equivalent. Therefore:
[tex]\displaystyle m+1=\frac{1}{3}m+5[/tex]
Solve for m. Subtract 1/3m from both sides:
[tex]\displaystyle \frac{2}{3}m+1=5[/tex]
Subtract 1 from both sides:
[tex]\displaystyle \frac{2}{3}m=4[/tex]
Finally, multiply both sides by 3/2:
[tex]\displaystyle m=4\Big(\frac{3}{2}\Big)=6[/tex]
So, it will take six minutes before Ashley and Emma have read the same number of pages.
x^4 − 3x^2 − 90 x= -3
Answers
Answer:
-36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x⁴ - 3x² - 90
x = -3
Step 2: Evaluate
Substitute in x: (-3)⁴ - 3(-3)² - 90Exponents: 81 - 3(9) - 90Multiply: 81 - 27 - 90Subtract: 54 - 90Subtract: -36Please help with this question. This is due today!
Answers
5x=80
x=8
*there should be a degree sign after but i can’t type that*
Answer:
3x° = 60°
2x° = 40°
Step-by-step explanation:
3x + 80 +2x = 180° (Linear Pair)
5x + 80 = 180
5x = 180 - 80
5x = 100
x = 20
Substituting the value for x,
3x° = 3 × 20 = 60°
2x° = 2 × 20 = 40°
Which statement about the ordered pair (-6,8) is true?
Answers
Answer:
a
Step-by-step explanation:
solve for y in one equation
2x + y = -4
y = -4 - 2x
plug y into the other equation
5x + 3y = -6
5x + 3(-4 - 2x) = -6
5x -12 -6x = -6
-x - 12 = -6
-x = 6
x = -6
plug x into the equation to find y
y = -4 - 2x
y = -4 - 2(-6)
y = 8
ordered pair: (-6,8)
HELP PLZ and thank you
find the measure of the arc or central angle indicated. assume that lines which appear to be diameters are actual diameters.
Answers
Answer:
Step-by-step explanation:
Circle degrees total 360 .
360 - 126 -54-54 (other side of vertical angles) equals 126 degrees left for the other two remaining sections.
14x+4 +15x+6 =126
19x+10 = 126
29x = 116
x=4 . answer .
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answers
Answer:
Step-by-step explanation:
(h+2)+9
b-(6-4)
PLEASE DO AS MUCH AS YOU CAN! THANKS!
Answers
Answer:
1. 2x+20
2. 8x-40
3. 7x+21
4. 8x-4
5. 15x+5
6. 12x+15
7. 20x-50
8. 21x+14
9. 24x-6
10. 45x-18
11. 18x-8
12. 30x+9
Explanation: Distributive Property
plz help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
a 12/20 = 0.6
b 21/35 = 0.6
c 28.8/48 = 0.6
Guys!!! Please help!! Geesh I need help
Answers
Answer:
42
Step-by-step explanation:
9 - 4 = 5
8 - 5 = 3
9 + 2 + 3 + 7 + 8 + 3 + 4 + 6 = 42
Answer:
Its 42 ;l
Step-by-step explanation:
Hey guys I need some heeeeeeelp please and thank you; Please explain
50 points
Answers
Answer:
8 full gas cans
Step-by-step explanation:
The volume of the rectangle is 8000 cm³. That divided by 1000 is 8...
I don’t know what to do
Answers
Answer:
okay so, everytime you see anything that says "a number", that will automatically mean that there is a number in the equation that u dont know, so instead of putting a random number in its place, you put an "exponent" aka a letter like "x" for example. so it says, 12 is the sum of a "number" and 3, that means 3 plus a number gives u 12, you would have to make an equation to find the "number" so the equation would be "3 + x = 12".
Step-by-step explanation: