Answer:
The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].
Step-by-step explanation:
GIven that the measure of the known angle is [tex]-\frac{3\pi}{2}[/tex] radians and that such angle belongs to a set of angles in terms of revolutions (with a period of [tex]2\pi[/tex]) done either clockwise or counterclockwise, we can represent the family of coterminal angles with the following expression:
[tex]\theta = -\frac{3\pi}{2}\pm (2\pi\cdot i)[/tex], for [tex]i \in \mathbb{N}_{O}[/tex] (1)
Where [tex]i[/tex] is the index of the coterminal angle.
According to the statement, we must name a positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians, which can be found by the sign [tex]+[/tex] and [tex]i = 1[/tex]. Hence, we find the required angle:
[tex]\theta = -\frac{3\pi}{2} + 2\pi[/tex]
[tex]\theta = \frac{\pi}{2}\,rad[/tex]
The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].
What is the common ratio?
5, -10, 20, -40, 80
What is the 15th term of the sequence?
Step-by-step explanation:
Use the above formula
-5 is the difference between the numbers..
hope you understood..
BRAINIEST TO WHOEVER RIGHT plz
Answer:
Male: 38 46 84
Female: 88 24 112
Total: 126 70 196
Need help dhdudhehebdhdbdhdbdhbdbdbshsshhshsshhshsshhshs
A person can pay $11 for a membership to the history museum and then go to the museum
for just $1 per visit. What is the maximum number of visits a member of the history
museum can make for a total cost of $100?
Answer:
89 if you pay 11$ to go to the museum for Justin 1$
Step-by-step explanation:
100 - 11 = 89.
3, 2, 16, 4, 26, 8, 6,3
How many dogs were in the Ridgeway Dogs show?
Answer: 68
Step-by-step explanation:
3 plus 2 plus 16 plus 4 plus 26 plus 8 plus 6 plus 3 = 68
Hope This Helps!
Devon ends up paying extra 28% in intrest, if the ps5 is 500 how much did he pay in intrest?
Answer:
780
Step-by-step explanation:
i think sorry if it is wrong
Only answer if you're sure you have the correct answer for this problem, please solve correctly.
Answer:
first option: m= 532 - 57h
Step-by-step explanation:
comment if u need explanation :)
write the equation of a circle with a center at (-1,2) and a radius of 7
Answer:
[tex](x+1)^2+(y-2)^2=49[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where r is the radius, and the center is (h, k).
(h, k) = (-1, 2), r = 7
[tex](x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49[/tex]
omg bet you don't know this pt2
Answer:
look at what the angle represent in the arrows
Step-by-step explanation:
Answers are 3/4 and 4/6
What is the average of these three numbers?
4,293 4,216 4,304
help me i need all of your work
please help me i need it done fast ill give brainest !! its a e+am ( i can't put the real word bc brainly will delete it )
Answer:
C
Step-by-step explanation:
Continental Drift Theory says that all the continents used to be one landmass called Pangaea, and that proves how glaciers, fossils, and plants are on different sides of oceans.
(Is proven to be true.)
So that leaf must have came from a tropical landmass like Australia, Africa, or South America.
Since C is the one that explains Plate Tectonic Theory, it is correct.
Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of zo = 4.
a. 13+ 4i, 28 + 9i, 59+ 20i
c. 11 + 2i, 25 + 6i, 53 + 14i
b. 13 - 4i, 28 - 9i, 59 - 20i
d. 11 - 2i, 25 - 6i, 53 - 14i
Answer:
D. 11 - 2i, 25 - 6i, 53 - 14i
Step-by-step explanation:
correct on EDGE2021
What is "y" when x = -2 in the equation y = 2x + 5
Answer:
2 x -2 + 5
-4 + 5
1 = y
Step-by-step explanation:
Plug in the value of X and do the equation.
Answer:
y = 1
Step-by-step explanation:
When x = -2 :
y = 2x + 5
y = 2(-2) + 5
y = -4 + 5
y = 1
rick took 320 free throws after practice. He made all but 15 of the free throws.What percent of the free throws rick make?Round to the nearest percent if necessary.
Answer:
95%
Step-by-step explanation:
(320 - 15) / 320 x 100 = 95%
--5-2n = 8n + 25 What is the value of n?
Answer:
-5-2n=8n+25
-5=6n+25
-30=6n
-5=n
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
n=-3
Step-by-step explanation:
One bow requires 3.2 inches of ribbon. How many
bows can be made from 304 inches of ribbon?
Answer:
95
Step-by-step explanation:
304/3.2 = 95
Answer:
4
Step-by-step explanation:First, we convert feet into inches. A foot equals 12 inches so 3 feet equal 36 inches. Then, we divide by 8. 36/8 = 4.5, and we can say that 4 bows can be made.
Will mark brainliest please help ASAP Complete the square to find the vertex of this parabola x^2+14x-y-14=0
Answer:
the vertex is (-7, -63)
Step-by-step explanation:
x^2 + 14x - y - 14 = 0
x^2 + 14x = y + 14 (to isolate the x)
x^2 + 14x + 49 = y + 14 + 49
(x+7)^2 = y + 63
now we convert to vertex form, which is y = a(x – h)2 + k :
(x+7)^2 = y + 63
y = (x+7)^2 - 63
The vertex in vertex form is shown as (h, k) from y = a(x – h)2 + k, so in this case, h = -7 and k = -63. H is the x-coordinate as shown while k is the y-coordinate. Thus, the vertex is (-7, -63)
The median of a data set is 100. Which statement about the data set must be true? A. The data set has an average of 100. Ов. B. Half the data values are greater than 100. O C. The minimum value is 80 and the maximum value is 120. . OD. Only one of the data points in the data set has a value of 100.
Answer:
Step-by-step explanation:
A. The data set has an average of 100. There's nothing to indicate this. F
**B. Half the data values are greater than 100. T: Definition
C. The minimum value is 80 and the maximum value is 120. There's nothing to indicate that this is true. F
D. Only one of the data points in the data set has a value of 100. There's nothing to indicate this. F
HELP ME DEAR GOD-
Let H be the event that a coin flip lands with heads showing, and let T be the event that a flip lands with tails showing. (Note that P(H) = P(T ) = 0.5.) What is the probability that you will get heads at least once if you flip the coin ten times? Let A be the probability that heads appears at least once and B be the probability that heads does not appear.
If you flip the coin 10 times the probability you will get a heads at least once is ???
Answer:
The probability you will get a head at least once is 50%.
Step-by-step explanation:
Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.
A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.
So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.
The area of triangle ABC ABC is 18 cm2. Side AC=4x AC = 4 x and side AB=x+3 AB = x + 3 . Given that angle A=30∘ , calculate the value of x
Answer:
x = 3
Step-by-step explanation:
Let the altitude from B to AC intersect at point D. Then BD is a height of the triangle with base AC
ΔABD is a 30-60-90 triangle since m∠A = 30
Therefore, AB = 2(BD) or BD = AB/2 = (x+3)/2
Area of the triangle = bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)
= x(x + 3) = 18
[tex]x^{2} + 3x = 18[/tex]
[tex]x^{2} + 3x - 18 = 0[/tex]
(x + 6)(x - 3) = 0
x = -6 or x = 3
x cannot equal -6, so x = 3
In this exercise we have to use the knowledge of triangle to calculate the value of X, in this way we find that:
[tex]X=3[/tex]
In this way, we can write the treated area of the triangle as:
[tex]bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)\\=x(x + 3) = 18\\x^2+3x=18\\x^2+3x-18=0\\(x+6)(x-3)=0\\x=-6 \ or \ x=3[/tex]
See more about triangle at brainly.com/question/25813512
Which angles are vertical angles?
Answer:
∠GFC and EFH
Hope this helps!
Given f(x) = -x + 1, solve for x when f(x) = 0.
Answer:
f(x) = -x + 1
0 = -x + 1
x = 1
Step-by-step explanation:
You put 0 in place of f(x).
Questions and Answers
1.
A is 40% of B. what percentages
Discuss
A
6090
B.
Answer:
yeah thats right good job keep up the good work and keep doing ur thing good job
Step-by-step explanation:
pls help me tysmmmm~
How are zeros and the vertex of a quadratic function interpreted in the real world?
4
5
+
2
5
–
1
5
÷
1
3
Simplest form please and in a fraction
Answer:
68 11/13
Step-by-step explanation:
Answer:
68 11/13
Step-by-step explanation:
So the question wants the problem 45+25-15÷13 to be solved. With this, use the order of PENDAS to solve the problem.
First, do -15 ÷ 13
This will get you -1 2/13
Next, add 45 and 25 together to get 70.
Lastly, do 70-1 2/13 to get 68 11/13.
Please I don’t get this show work please
Carmen makes 8 dollars for each hour of work. Write an equation to represent her total pay p after
working hours
Answer:
8x=p
Step-by-step explanation:
So 8 time the number of hours Carmen works which I used x. Then you’ll get the total.
im not smart enough fo this
Answer:
4 [tex]1/2[/tex] cups are needed for 3 batches.
Step-by-step explanation:
1 1/2 = 1.5
3*1.5 = 4.5
4.5 = 4 1/2
Have a nice day!
How many miles do you drive to school a statistical or a non-statistical question
Answer:
Non statistical
Step-by-step explanation:
Answer:
Statistical
Step-by-step explanation:
It depends on ones location because any one lives down the street from the local high school.
A non-statistical question only has one answer such as what is the freezing degree mark in Fahrenheit
Pls mark me brainiest