" the quotient " means divide
(n/6) - 1 <== ur expression
Suppose theta is an angle in the standard position whose terminal side is in Quadrant II and tan0= -sqrt3 Find the exact values of the remaining five trigonometric functions of theta
The exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3cosθ = -1/2secθ = -2 cotθ = -1/√3Since tanθ = -√3.
The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.
The next trigonometric function of θ is cotθ.
cotθ = 1/tanθ
= 1/-√3
= -1/√3.
Also, tan²θ + 1 = sec²θ
Substituting tanθ = -√3 into the equation, we have
(-√3)² + 1 = sec²θ
3 + 1 = sec²θ
sec²θ = 4
secθ = ±√4
secθ = ±2
Since θ is in the quadrant II,
secθ = -2
Also, cosθ = 1/secθ
= 1/-2
= -1/2
Also, cot²θ + 1 = cosec²θ
Substituting cotθ = -1/√3 into the equation, we have
(-1/√3)² + 1 = cosec²θ
1/3 + 1 = cosec²θ
cosec²θ = 4/3
cosecθ = ±√(4/3)
cosecθ = ±2/√3
Since θ is in the quadrant II,
cosecθ = +2/√3
Also, sinθ = 1/cosecθ
= 1/2/√3
= √3/2
So, the exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3 cosθ = -1/2secθ = -2cotθ = -1/√3.Learn more about trigonometric functions here:
https://brainly.com/question/4515552
Suppose there is a game where there are 5 identical boxes to choose from. One of these boxes has a
prize. Each time the game is played, the prize is randomly placed in one of the 5 boxes. If someone
were to play this game 4 times in a row, what is the probability this person will win the prize exactly 2
times?
Answer:
0.1536
Step-by-step explanation:
This is a binomial probability distribution with 2 successes in 4 trials.
The chance of a success is 1/5 = 0.2.
So there needs to be 2 successes and 2 failures in the 4 plays.
Reqd. Probability is 4C2*(0.2)^2(0.8)^2
= 0.1536.
-2 - 1 + 4 I need the help please
Answer:
it's 1
Step-by-step explanation:
hope this helps 1
Will give brainliest!! Thank you
Answer:
All the mentioned can be constructed with the help of piling method. But, for construction of B and D we need a point as well.
Please give brainliest only need 3 more brainliest before next rank!
Step-by-step explanation:
a) Yes, a cube can be formed by stacking polygons. If we stack squares one upon another, then the resulting 3-D figure would be a cube.
b) Yes, a cone that does not include the point can be made by stacking disc. If we stack discs such that the discs are arranges in descending order then the resultant 3-D figure would be a cone that does not include a point.
c) Yes, a pyramid can be formed by stacking polygons.
If we stack squares such that they are arranged in descending order of their side length and stacked by a point on the top. Then the resultant figure would be a pyramid that includes a vertex.
f) There are many types of prism. Fro example a rectangular prism can be constructed by simply stacking rectangle polygon on one another.
e) Yes, a cone can be formed by stacking disc.
We need to stack disks arranged in descending order of their radius stacked with a point on the top. The resulting figure would be a cone that includes a point.
f) Yes, a cylinder can be formed by stacking. We need to stack discs of same radius to get a cylinder.
Answer:
B and D
Step-by-step explanation:
1. Find the volume of the rectangular prism that has a height of 5 meters and the area of the base is 8m2.
Answer:
40m3
Step-by-step explanation:
Multiply the area x the height
Step-by-step explanation:
the volume of a prism or simply "box" is base area × height.
so, we have
8 × 5 = 40 m³
Write an equation but do not solve to show how many letters, L, it would take for these two trophies to cost the same amount.
Answer:
12 + 0.40L = 14.75 + 0.25L
Whats the solution to this problem
9^3x-3=81x+2
how to solve this problem the answer is -555498
help me solve thisss question
There are some red and blue balls in a bag of 21 balls and the probability of picking 2 red balls out in a row is 1/14 how many red balls are there?
Answer:
6 red balls
Step-by-step explanation:
The probability in the first pick
6/21
The probability in the second pick (without replacement)
5/20
the requested probability
(6/21)(5/20) = 30/420
simplification
30/420 = 3/42 = 1/14
Hope this helps
Answer:
6 red balls.
Step-by-step explanation:
If there are x red balls then
probability of 2 red balls
= x/21 * (x - 1)/20 = 1/14
x^2 - x / 420 = 1/14
x^2 - x = 30
x^2 - x - 30 = 0
(x - 6)(x + 5) = 0
x = 6.
Find BC.
A
B
С
D
Ош
E
=
=
AD = 10.5
AB = 2
CE = 11.5
AE = 15
BC = [?]
=
=
Fnter
Answer:
1.5
Step-by-step explanation:
since the lone segment is 15 so add ab and ce and let bc be x
so 2+x+11.5=15
13.5 +x =15
x=1.5
The values in the five-number summary divide a data set into four quarters.
A. True
B. False
Answer:
The values in the five-number summary divide a data set into four quarters.
→ True
Mark me as brainlist plz :)
Answer:
the answer is TRUE
Step-by-step explanation:
The value of x + x(2x) when x = 2 is: (a) 10, (b) 16, (c) 18, (d) 36, (e) 64
[tex]x+x(2x)=x+2x^2\\\\\text{when x =2}\\\\2+ 2(2)^2 = 2+ 2(4) = 2+ 8 = 10[/tex]
[tex]\text{So, the answer is (a).}[/tex]
The refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollar and cents?
Answer:
$31.53
31 dollars 53 cents
Step-by-step explanation:
6% is equal to 0.06.
0.06 * 525.50 = 31.53.
Hope this helps
Which function is shown in the graph?
Answer:
k(x)=-3/4x+5
Step-by-step explanation:
Help help math math
Answer:
y = 1/2x + 3
Step-by-step explanation:
Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.
In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.
My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis
Answer: y = 1/2 x + 3
Step-by-step explanation:
A
3
-2
-1
0
2
3
4
В.
The midpoint of AB = ([?],[ ])
Enter
Step-by-step explanation:
hope it will help you and please mark the answer as brillant please.
If A is the center of the circle which of these is/are radii
Answer:
it could be
A to B
A to E
or A to F
all of them would work
Answer:
segments EA, AB, FA
Step-by-step explanation:
These points are all from the circumference, connecting to the radii, A.
11. Write the equation of a line passing through the two points. First find the slope and the y-
intercept
(0,3) and (2,6)
Answer:
Y intercept is (0,3)
Step-by-step explanation:
Check out the image
A proportional relationship is formed when y = 24 and x = 32. What is the value of y when x = -2? Explain how you solved the problem.
Answer:
-1.5
Step-by-step explanation:
24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.
First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02
24 : 32 = 24/(-16) : -2 = -1.5 : -2
Hemp bell bell help math
Answer:
This is indeed a function!
Step-by-step explanation:
Pls help as soon as possible thank you
Answer:
The domain corresponds to the values of the x and the range to the values of the y. So:
D: {-3, 0, 3}
R: {-6, 0, 6}
Answer:
[tex]\huge\boxed{A.}[/tex]
Step-by-step explanation:
Domain:
"Set of values on x-axis"
Domain = {-3,0,3}
Range:
"Set of values on y-axis"
Range = {-6,0,6}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Round 1276 to the nearest ten?
Answer:
1280
Step-by-step explanation:
look at the 6 in the number
is it 4 or less
or is it 5 or more
as the number is 6 ( more than 5)
then you are going to add 1 to the tens
so the final answer is 1280
I really hope this helps and have a great day
The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?
Elliot spent $16.15 on ground beef at a grocery store. He purchased 3 and 2 over 5 pounds of ground beef. What is the price per pound of the ground beef at that store?
We want to know how much is the price per pound (or unit rate) of ground beef, given that we know the price for Elliot's purchase. We will see that each pound costs $4.75
So we know that (3 + 2/5) lb of ground beef costs $16.15, the cost of a single pound will be given by the quotient between the total cost and the amount purchased, then we need to solve:
[tex]P =\frac{ \$ 16.15}{(3 + 2/5)lb}[/tex]
We can rewrite the denominator as:
(3 + 2/5)lb = (15/5 + 2/5)lb = (17/5) lb
Replacing that we get:
[tex]P =\frac{ \$ 16.15}{(17/5)lb} = \frac{ \$ 16.15*5}{17lb} = \$4.75 \ per \ lb[/tex]
So each pound of ground beef costs $4.75
If you want to learn more about unit rates, you can read:
https://brainly.com/question/2375289
7/18 divided 13/36 help
Answer:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 7/18 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
18 = 2 × 3^2;
gcf (7; 2 × 3^2) = 1;
Fraction: 13/36 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
13 is a prime number;
36 = 2^2 × 3^2;
gcf (13; 2^2 × 3^2) = 1;
Reduce (simplify) fractions to their simplest form, online calculator
1. When two lines cross, the opposite angles are ___________ angles and are congruent. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
2. Two angles that share a side and a vertex but do not overlap. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
3. Two angles whose measures add up to 180 degrees. *
Angle Addition Postulate
Adjacent Angles
Supplementary Angles
Vertical Angles
Answer:
1. vertical angles
2. Adjacent angles
3. Supplementary angles
Step-by-step explanation:
Heheh... uhm, yeah, I don't do best with algebraic questions-
Answer:it's a for sure I think
Find the equation for the line bellow
Allison sells cosmetics door-to-door. She is paid a monthly commission which is 10% of her first $900 in sales and 15% of the rest of her sales. Last month she sold $8,000 worth of cosmetics. How
much commission did she earn last month?
Answer:
$1155
Step-by-step explanation:
10% of the first $900 is $90.
The rest of her sales is 8000 - 900 = 7100. 7100 * .15 = 1065.
Add them together to get $1155.
Which of the following is a correct cosine ratio for the figure?
(refer to the picture below)
A) C = 13∕12
B) C = 5∕13
C) C = 5∕12
D) C = 12∕13
Answer:
D
Step-by-step explanation:
Cosine is adjacent / hypotenuse, so 12/13