Let (-3, 4) be a point on the terminal side of 0. Find the exact values of sin 0, csc 0, and cot 0.
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.
Trigonometric ratio calculation.
We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:
r² = x² + y²
r² = (-3)² + 4²
r² = 9 + 16
r² = 25
r = 5
Now we can find the values of sin θ, csc θ, and cot θ:
sin θ = y/r = 4/5
csc θ = r/y = 5/4
cot θ = x/y = -3/4
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.
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What multiply 12 and add to get -7
who is right andrew or annie?
Answer:
andrew
Step-by-step explanation:
1. Which of the following sets of integers is arranged in order from LEAST to GREATEST?
Oi-1.5 - 9
O (1. - 5. - 10)
O (12. - 8,0)
O { - 13. - 12,9)
Answer:
Last option:
(-13, -12, 9)
Step-by-step explanation:
Here you need to look at a number line.
(an infinite line with the zero in the middle, at the left we have the negative numbers which increase to the left, and at the right, we have the positive numbers that increase to the right)
for any two pair of numbers in the number line, the number at the right is larger than the number at the left.
So for example, -10 is at the left of -3
Then:
-10 < -3.
Then a set is ordered from least to greatest if:
first we have the largest negative numbers
then the smaller negative numbers
then the zero (if there is a zero)
then the smaller positive numbers
then the largest positive numbers.
The only set that meets this condition is the last one:
(-13, -12, 9)
Why the others not meet this condition?
in the first one we have -9 after 5, and we know that -9 < 5
in the second one we actually have an order from greatest to least.
in the third one we have -8 at the right of 12, and we know that -8 < 12
perimiter question asap answer
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
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Alice and Finn roll two number cubes. Which of the following rules will make the game fair?
A) Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
B) Alice wins if a total of 7 is rolled. Finn wins if a total of 8 is rolled.
C) Alice wins if a total of 3 is rolled. Finn wins if a total of 10 is rolled.
D) Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.
Answer:
Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.
round 6.07 x 3.29 to the nearset whole.number
Answer:
20
Step-by-step explanation:
6.07 *3.29=19.9703
since rhe number after decimal is greater than 5
so we can add 1 to the real number
that's why whole number is 19+1=20
Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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OAB is a minor sector of the circle below.
Calculate the length of the minor arc AB in terms of pi
Not drawn accurately
AWARDING BRAINLIEST TO FIRST ANSWER
The Length of the arc in the circle shown is calculated to one decimal place, in terms of pi, as approximately 3.6π cm.
How to Calculate the Length of an Arc?The length of an arc in a given circle can be calculated by applying the formula as expressed below:
Length of arc (s) = ∅/360 * 2πr, where:
Reference angle = ∅
Radius of the circle = r.
Given the parameters:
Radius (r) = 16 cm
Reference angle (∅) = 40 degrees.
Plug in the values:
Length of the arc (s) = 40/360 * 2 * π * 16
Length of the arc (s) = 3.6π cm
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Answer:
To calculate the length of the minor arc AB in terms of pi, you need to know the measure of the central angle that intercepts the arc and the radius of the circle. Do you have that information?
Step-by-step explanation:
The straight line distance between two points is known as its
Answer:In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points
Step-by-step explanation:It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, therefore occasionally being called the Pythagorean distance.
15% of Alina’s workout consisted of cardio exercise.
25% of Dane’s workout consisted of cardio exercise.
Which statement must be true?
Answer:
If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.
Step-by-step explanation:
Since the time difference depends on the initial amount of time, answer #1 is not right
Next, #3 is also not right since the difference is way to great.
Next, #4, we cannot tell how long the workouts of both were, so this is not right either
Jerome is a co- owner of a small company and received 1/3 of the company's profits this year what were the company's overall profits if Jerome made 150,000?
pls help me simplify
I'LL MARK AS THE BRAINLIEST!!!!! a− (10 − a) = 30
Answer:
a=20
Step-by-step explanation:
a-10+a=30
a+a-10=30
2a-10=30
2a=30+10
2a=40
a=20
Please help how can i find the radius? I dont know how. Would it be just half of that #?
Answer: 3.14 times radius squared
Step-by-step explanation:
find x for the answer
Answer:
-90
Step-by-step explanation:
help please thanks very much
Answer:
the right answer is 18 because 120 divided by 20 is 6 so the you do 6 times 3
Answer:
the answer is 18
Step-by-step explanation:
20:3=workers:casiers
120:x
cross multiply so that means 3 multiplied by 120 which is 360 divided by 20 which is 18
hope this helps :)
Find the domain in the following
Y=2x+5
Answer
All real numbers or (-∞, ∞)
Step-by-step explanation:
There aren't any X values that can make this linear equation output an invalid results, so we can deduce that the domain is all x values.
Answer:
All Real Numbers
Step-by-step explanation:
The Domain for a function simply is all the possible x values.
When graphing this function, you'll realize that it's continuous and passes all x values.
Additionally, when looking at it, you'll realize you can input any number of your choosing.
When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.
For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.
Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.
Hope that helps, please let me know if you have any queries.
Plz help me this is 7th grade math
Answer:
22
Step-by-step explanation:
Write an equation:
5x+12=6x-10
Solve.
x=22
Hope I helped!
Answer:
22
Step-by-step explanation:
6x - 10 = 5x + 12 (vertical angles)
6x - 5x = 12 + 10
x = 22
A car is driving at 75 kilometers per hour. How far, in meters, does it travel in 5 seconds?
75km convert to m 75x1000=75000m
converted I hour to seconds that is 3600seconds
If 75000m=3600seconds
? =5seconds
that id 75000x5=375000/3600
=104.26…metres
The distance will be 104.16 meters if the car is driving at 75 kilometers per hour.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
A car is driving at 75 kilometers per hour.
Let x be the distance.
As we know from the distance time relation:
Distance = speed×time
Speed = 75 km/h
Speed = 75 km/(3600)seconds
Speed = 0.0208 km/s
x = 0.0208×5
x = 0.10416 km
in meters
x = 0.104x1000
x = 104.16 meters
Thus, the distance will be 104.16 meters if the car is driving at 75 kilometers per hour.
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Are corresponding g angels equal
(a) Suppose that buses go past my stop exactly 30 minutes apart. I arrive at the stop at a completely random time during the day. What is the expected length of time I will have to wait for a bus?(b) Suppose that buses go past my father's stop at exactly ten minutes past the hour and thirty minutes past the hour (e.g. 9:10, 9:30) every hour. My father arrives at his stop at a completely random time during the day. What is the expected length of time he will have to wait for a bus?
(a) The expected length of time I will have to wait for a bus is 15 minutes.
(b) The expected length of time he will have to wait for a bus is 16.67 minutes.
(a) Suppose that buses go past my stop exactly 30 minutes apart.
I arrive at the stop at a completely random time during the day.
We have to determine the expected length of time I will have to wait for a bus.
Let X = Time until the next bus is come
X = Uniform(α = 0, β = 30)
Mean = (α + β)/2
Mean = (0 + 30)/2
Mean = 30/2
Mean = 15 minutes
(b) Suppose that buses go past my father's stop at exactly ten minutes past the hour and thirty minutes past the hour (e.g. 9:10, 9:30) every hour.
We have to determine the expected length of time he will have to wait for a bus.
There are two periods, the first of which lasts for 20 minutes, and the second for 40 minutes. The bus arrives at the beginning and end of these times. They go in cycles.
P(Father arrives in period 1) = 20/60
P(Father arrives in period 1) = 1/3
P(Father arrives in period 2) = 40/60
P(Father arrives in period 2) = 2/3
Let X(i) = Time until the next bus arrives if father arrives in period i
X(1) = U(0.20), X(2) = U(0.40)
Now, E(Waiting Time| Period 1) = 10 minutes
E(Waiting Time| Period 2) = 20 minutes
Now, E(Waiting Time) = E(Waiting Time| Period 1) × P(Period 1) + E(Waiting Time| Period 2) × P(Period 2)
E(Waiting Time) = 10 × (1/3) + 20 × (2/3)
E(Waiting Time) = 10/3 + 40/3
E(Waiting Time) = (10 + 40)/3
E(Waiting Time) = 50/3
E(Waiting Time) = 16.67 minutes
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List all 6 whole numbers between -3.5 and 5.5
Answer:
-2.5, -1.5, 1.5 2.5 3.5 4.5
Step-by-step explanation:
I think I did this right.
I hope this helped!
Compute the following expressions.
30 - 2²
Answer:
26
Step-by-step explanation:
2 squared equals 4. So 30 - 4 = 26
hope it helps!
Which of the following is the missing reason?
Statements Reasons
two thirds times x plus 7 equals negative 5 Given
2x + 21 = −15 Multiplication Property of Equality
2x = −36 Subtraction Property of Equality
x = −18 ?
Division Property of Equality
Distributive Property
Addition Property of Equality
Subtraction Property of Equality
Answer:
The missing reason is the Division Property of Equality.
Step-by-step explanation:
Plsss help me! Brainlist!!
Answer: = (the third option)
Step-by-step explanation
Answer:
the answer is this sign <!
Step-by-step explanation:
What are the zeros of this function?
- 10
10
- 10 -
O A. x = 0 and x = -6
OB. X = 2 and x = -6
O C. x = 0 and x = 5
O D. x = 0 and x = -5
Answer: c
Step-by-step explanation:
The zeros of the given function shown in the graph are x = 0 and x = 5. Option C is correct.
What are the zeros of equations?Zeros of an equation is defined as the value of the independent variable where the equation or function gives zero.
Here,
To calculate the zeros of a function from a graph, you need to identify the points where the graph intersects the x-axis. The x-values of these points of intersection are the zeros of the function.
Based on the graph provided, it can be concluded that the zeros of the function occur at x = 0 and x = 5, and therefore, option C is the correct answer.
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3
Create a linear equation in the slope-intercept fo
form that contains points (2,-8) and (6,-4).
Answer:
y = x - 10
Step-by-step explanation:
slope - intercept form: y = mx + b
y2 - y1 -4 - ( -8 ) 4
--------- = ------------- = -------- = 1
x2 - x1 6 - 2 4
---------------------------------------------------------
y = mx + b
y = 1x + b
pick whichever point you want to use, for this I'll use (2, -8)
-8 = 1( 2) + b
-8 = 2 + b
-2 -2
-10 = b
y = 1x - 10 or y = x - 10
I hope this helps!
O. A water jug is filled with 128 fluid ounces. Anna
pours out 3 pints of liquid from the jug. How
many pints remain?
A. 5 pints
B. 6 pints
C. 8 pints
D.
11 pints
Answer:11
Step-by-step explanation:
$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29