Answer:
A. coterminal angle = 4π/3
B. sin(θ) = -√3/2; csc(θ) = -2√3/3; cos(θ) = -1/2;
sec(θ) = -2; tan(θ) = √3; cot(θ) = √3/3
Step-by-step explanation:
A.Any angle that is a multiple of 2π added to the given angle will be coterminal. You want one in the range [0, 2π], so we need to add 4π to the given angle
coterminal angle = -8π/3 +4π = -8π/3 +12π/3
coterminal angle = 4π/3
__
B.The reference angle is 4π/3 -π = π/3. θ is a quadrant III angle, so both the sine and cosine are negative.
sin(θ) = -√3/2 . . . csc(θ) = -2√3/3
cos(θ) = -1/2 . . . sec(θ) = -2
tan(θ) = √3 . . . cot(θ) = √3/3
can someone plssss help me with this. I WILL MARK BRAINLIEST
Answer:
5 payments
Step-by-step explanation:
First we add up the prices for the lunches and the movies :)
3 x 5 = 15
15 + 9.5 = 24.5
Second we subtract the 24.5 from the 35 :)
35 - 24.50 = 10.5
Now we divide the price of the cd player by the 10.50 to get the total number of payments :)
50/10.5 = 5
Finally to check it one more time, we multiply the 10.5 by 5 and if it equals 50 or over, it is correct!! :D
10.5 x 5 = 52.5!!!
You did it!
Your correct answer is 5 payments!!
Have a great day!!!
Please rate and mark brainliest!!
List the following fractions from least to greatest 1/6 2/3 1/2 1/3
Answer:
1/6 < 1/3 < 1/2 < 2/3
Step-by-step explanation:
We can turn the following to decimal;
1/6 = 0.16666666666
2/3 = 0.66666666666
1/2 = 0.5
1/3 = 0.33333333333
0.16666666666 < 0.33333333333 < 0.5 < 0.66666666666
Thus, from least to greatest is 1/6 < 1/3 < 1/2 < 2/3
~Learn with Lenvy~
Solve by completing the square
Answer:
The answer is (-6 + √41), (-6 – √41)
Step-by-step explanation:
We are given an equation
x² + 12x = 5Subtract 5 from both side we get,
x² + 12x – 5 = 5 – 5
x² + 12x – 5 = 0
we get the equation in the form of
ax² + bx + c = 0Here, a = 1, b = 12, c = (-5)
Now, Add and subtract (b/2a)² we get,
x² + 12x + (12/2)² – (12/2)² – 5 = 0
x² + 12x + (6)² – (6)² – 5 = 0
(x + 6)² – 36 – 5 = 0
(x + 6)² – 41 = 0
Now, add 41 both side we get,
(x + 6)² – 41 + 41 = 0 + 41
(x + 6)² = 41
√(x + 6)² = √41
x + 6 = ±√41
x = -6 + √41, -6 – √41
Thus, The roots of the equation is
(-6 + √41) and (-6 – √41).
-TheUnknownScientist 72
A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is approximately 3052.08 cubic centimeters. What is the length of the radius of the Earth model?
The length of the radius of the mudel is 9 cm
Step-by-step explanation:[tex]By\ the\ topic[/tex]
[tex]The\ volume\ of\ the\ mudel\primes\ is\ 3052.08{\rm cm}^3[/tex]
[tex]Formula\ for\ the\ volume\ of\ the\ sphere\ is[/tex]
[tex]\frac{4}{3}\pi\ r^3[/tex]
[tex]\frac{4}{3}\pi\ r^3=3052.08[/tex]
[tex]\pi\ r^3=\frac{3}{4}\times3052.08=2289.06[/tex]
[tex]\gamma3=2289.06\div\pi[/tex]
[tex]\gamma=\sqrt{\frac{2289.06}{\pi}}\approx\sqrt{\frac{2289.06}{3.14}}+\sqrt{729}[/tex]
[tex]r=9cm[/tex]
[tex]7hus,\ the\ length\ of\ the\ vadius\ of\ eanth[/tex]
[tex]mudel\ is\ 9\ cm[/tex]
[tex]Application\ of\ the\ volume\ of\ the\ spheve?[/tex]
I hope this helps you
:)
Which of the following best describes the graph below
Answer:
i believe its A
Step-by-step explanation:
Answer:
B. The graph is not a function.
Step-by-step explanation:
We are given the graph of a relation. It is required to determine whether the graph represents a function or not. 'If a vertical line passing through the graph of the relation cuts the graph at at-most one point, then the given graph represents a function else not'. So, if we plot the vertical line 'x = 3' in the figure, we see that, The vertical line drawn crosses the graph at two points A and B as shown below. Thus it would be B
The length of a rectangular garden is 4 more than three times the width. If the perimeter of the garden 104 feet, what are the dimensions of the garden.
Write your system of equations:
Answer the question being asked:
Answer:
12 ft by 40 ft
Step-by-step explanation:
Let L represent the length and W the width. Then L = 3W + 4.
The perimeter formula is P = 2L + 2W or P = 2(L + W).
Substituting 104 ft for P, we get 104 ft = 2(L + W), which reduces to
52 ft = L + W, or 52 ft = 3W + 4 + W.
Therefore, 52 ft = 4W + 4.
Solving this for W, we get 48 ft = 4W, or W = 12 ft.
Then, because L = 3W + 4, L = 3(12 ft) + 4 = 40 ft = L
The dimensions of the garden are 12 ft by 40 ft.
express in the form 1 : n give n as a simplifeid fraction 8 : 6
Answer:
So, Simplified fraction of 8:6 is 4:3.
What is the value of y in the equation 4x +3 y= 23 when x=2 , x=6
Answer:
5, -⅓
Step-by-step explanation:
x = 2:
4x + 3y = 23
3y = 23 - 4(2)
3y = 15
y = 5
x = 6:
4x + 3y = 23
3y = 23 - 4(6)
3y = -1
y = -⅓
Landon is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and spins a spinner with three equal-sized sections labeled Walk, Run, Stop?
The total number of ways this can be done is 144 ways
How to determine the number of outcomesGenerally, the total outcomes that are there when n objects are spinned is expressed as n!
n! = n(n-1)(n-2)!
If he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and three equal-sized sections labeled Walk, Run, Stop, the total outcome is expressed as:
Total outcome = 4! * 3!
Total outcome = 24*6
Total outcome = 144 ways
Hence the total number of ways this can be done is 144 ways
Learn more on combination here: https://brainly.com/question/11732255
The longer leg of a right triangle is 1 cm longer than the shorter leg. The hypotenuse is 9 cm longer than the shorter leg. Find the side lengths of the
triangle.
cm
Length of the shorter leg: 0
Length of the longer leg: 0
Length of the hypotenuse: 0
cm
cm
Answer:
Shorter leg = 20 cm.
Longer leg = 21cm.
Hypotenuse = 29 cm
Step-by-step explanation:
Let the shorter leg be x cm long
Then longer leg = x + 1 and hypotenuse = x + 9 cm long
So by Pythagoras:
x^2 + (x + 1)^2 = (x + 9)^2
0 = x^2 + 18x + 81 - x^2 - (x^2 + 2x + 1)
x^2 + 18x + 81 - x^2 - x^2 - 2x - 1 = 0
-x^2 + 16x + 80 = 0
x^2 - 16x - 80 = 0
(x - 20)(x + 4) = 0
So x = 20 (we ignore the negative root).
So longer leg = 20 + 1 and hypotenuse = 20 + 9.
Jodi has a collection of 153 shells. She gives 39 shells to her sister Sherri. Then their mother gives each sister 28 shells.
Part A
How many shells does Sherri have now?
A.
28
B.
67
C.
142
D.
181
Part B
How many shells does Jodi have now?
A.
28
B.
67
C.
142
D.
181
Answer:
Part-A= C
Part-B= B
Step-by-step explanation:
153-39=114
114+28=142
39+28=67
Answer:
Part A is b and Part B is c good luck
What is the balance point for the following data set? 19 80 15 20
The balance point of the dataset is the mean of the dataset
The balance point of the dataset is 20
How to determine the balance point?From the dataset, we have the following frequency table
Data (x) Frequency (f)
15 2
24 1
26 1
The balance point of the dataset is the mean value of the dataset, and the mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
This gives
[tex]\bar x = \frac{15 * 2 + 24 * 1 + 26 *1}{2 +1+1}[/tex]
Evaluate the sum
[tex]\bar x = \frac{80}{4}[/tex]
Evaluate the quotient
[tex]\bar x = 20[/tex]
Hence, the balance point of the dataset is 20
Read more about mean at:
https://brainly.com/question/14532771
You have four $20 bills, ten $5 bills, and twelve $1 bills in your wallet. If you reach into your wallet twice, what is the probability that you will pull out a $1 bill the first time and a $5 bill the second time?
Answer:
2/28 ?
Step-by-step explanation:
if I'm wrong so sorry
please help! What is 75 % of 62-(98/4)
Answer:
28.13
Step-by-step explanation:
62 - (98/4)
62 - 24.5 = 37.5
75% of 37.5 is 28.125, or 28.13.
Answer:
22
Step-by-step explanation:
98/4 = 24.5
62-24.5 = 37.5
75% of 37.5
= about 22
Can the sides of a triangle have lengths 2, 6, and 7?
Answer:
Yes
Step-by-step explanation:
The third largest side is 7 and the other two sides added are bigger than seven.
2 + 6 = 8
Is this answer accurate?
A bedroom door in the house has the same dimension as the front door but the length is 30 inches rather than 36 inches how much greater is the volume of the front door than than the bedroom door
Answer:
6/5
Step-by-step explanation:
Calculate the volume by multiplying the measured length and width of the space together, then multiply the result by the height of the room. From the example, 10 * 25 feet = 250 square feet, and 5 * 10 feet = 50 square feet.
Solve for c
Can you pls help me??
Answer:
5(c+3)=85
divide both sides by 5
c+3=17
taking 3 to the other side gives us -3
c=17-3
c=14
At the movie theatre , child admission is $ 6.40 and adult admission is $ 9.60 . On Monday , 153 tickets were sold for a total sales of $ 1270.40 . How many adult tickets were sold that day ?
Answer:
91 adult tickets
Step-by-step explanation:
Algebra is really useful here:
Let a = number of adult tickets sold and c = number of child tickets sold.
Thus, we can say that
a + c = 153 (number of tickets)
6.40c + 9.60a = 1270.4. (cost of all of the tickets)
Solving,
c = 153 - a
6.40(153 - a) + 9.60a = 1270.4
979.2 - 6.40a + 9.60a = 1270.4
3.20a = 291.2
a = 91
There should be 2 answers
[tex]|6m-2|=0\\\\\implies 6m-2 =0~~~~~~~~~~~~~;[\text{If}~ |x| = 0 ~\text{then}~ x = 0]\\\\\implies m = \dfrac 26 = \dfrac 13[/tex]
What is the sum of the interior angles of a regular polygon with 7 sides
Answer:
the answer is 900 degrees
Step-by-step explanation:
brainliest?
Answer:
900°
Step-by-step explanation:
sum of interior angles of n sides polygon=(n-2)×180
n=7
Hence sum of interior angles of 7 sided polygon=(7-2)×180
=5×180
=900°
8) Evaluate this expression.
7.4 - (-3.7)
A) -3.7
B) 8.4
C) 11.1
D) 13.21
Answer:
C) 11.1
Step-by-step explanation:
7.4 -(-3.7)
- and - make +
7.4 + 3.7 = 11.1
Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
(a)
What is the distance, In feet, from the base of the ladder to the base of the wall? Round to the nearest tenth of a foot.
(b) Regis needs to move the ladder so that it reaches a window 9.6 feet above the ground.
How many feet closer to the building does he need to move the base of the ladder?
The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.
He needs to move the ladder 0.1 ft closer to the base of the building.
The situation forms a right angle triangle.
Right angle triangleRight angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.
The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;
cos 65° = adjacent / hypotenuse
cos 65° = d / 10
d = 10 × 0.42261826174
d = 4.22618261741
d = 4.2 ft
She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;
cos 65 = d / 9.6
d = 9.6 × 0.42261826174
d = 4.05696
d = 4.1
Therefore, he needs to move the ladder 0.1 ft closer to the building.
learn more on right angle triangle here: https://brainly.com/question/14988069
Katie ate dinner at a restaurant. The bill came to $77. If she left an 18% tip, how much was the tip?
Can someone pls help me?
Answer:
$13.86
Step-by-step explanation:
Just multiply 77 by 18 percent as a decimal (.18) to get the answer, which is $13.86
Hopefully this helps- let me know if you have any questions!
Need help on number 10
If tan C is 3/4, find the sin C.
Answer:
sin C = 3/5
Step-by-step explanation:
see image.
It helps to draw a picture. Tan C is the ratio of the OPP/ADJ.
Pythagorean theorem or if you know Pythagorean triples are a shortcut to find the hypotenuse.
Once you know the hypotenuse, use the ratio for sine to solve the question. Sine is OPP/HYP.
see image.
choco chip cookies cost $3.20 for the 15oz size . The 18oz size $3.75 Which is the better buy
Answer:
18 oz
Step-by-step explanation:
Choco Chip Cookies (15 oz): [tex]\frac{\$3.20}{15oz}=\frac{\$0.213}{oz}[/tex]
Choco Chip Cookies (18 oz): [tex]\frac{\$3.75}{18oz}=\frac{\$0.208}{oz}[/tex]
So, the 18oz package is the better buy by about [tex]\$0.005[/tex]
PLEASE HELP ME WITH THIS !!
Answer: C
Step-by-step explanation:
When Flipped Down A is on the same point as D
Answer:
c
Step-by-step explanation:
because they are mirrored the only one that is equivilent is c
b doesnt corrospond to f it corrosponds to e
bc corrosponds to ef
ab corrosponds to ed.
PLEASE HELP!!! I"LL MARK AS BRAINLIEST!!!A local water park has two types of season passes. Plan A costs a one-time fee of $139 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $43 for parking plus $24 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
Answer:
6 visits
Step-by-step explanation:
Plan A: 139+8x
Plan B: 43+24x
Set the equations equal to each other.
[tex]139 + 8x = 43 + 24x[/tex]
Subtract 43 from both sides.
[tex]96 + 8x = 24x[/tex]
Subtract 8x from both sides.
[tex]96 = 16x[/tex]
Divide both sides by 16.
[tex]x = 6[/tex]
i need help finding x and y
Answer:
x is 5 and y is 6
Step-by-step explanation
we find 2/3 factors that equal 10. 2 and 3. the only other number that can be added that equals 10 is 5. i apply the same logic to y
Answer:
Y -- 6
X -- 5
Step-by-step explanation:
we first find y by finding the side that is the longest that is parallel to y (16) we also find that two sets of fives are also parallel to y and 16 as seen in the first screenshot. Then to find the missing value we will subtract the 5 two times from 16 to find y. 16 - 5 = 11 - 5 = 6.
we do the same thing to find x, (10 - 2 = 8) (8 - 3 = 5) X = 5
Looking at the statement below, what is the current balance in the account if the beginning balance was $894.83?
Please help a bro out
Answer: $355.39
Step-by-step explanation: subtract 174.25,180.96,184.24 from 8194.84 =
Pablo had $319 in his savings account. He got $28 for helping a neighbor, and he saved all but $11 of it.
How much is in Pablo's savings account now?
A.
$330
B.
$336
C.
$347
D.
$358
Answer:
the correct answer is B. $336
Step-by-step explanation:
you first add 319 and 28. Then, you subtract the product with 11.
To be honest I think the answer is B