Correct question is;
The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?
Answer:
sinθ = (√544)/25) and cosθ = 9/25
Step-by-step explanation:
We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;
(9/25)² + y² = 1²
y² = 1 - (9/25)²
y² = (625 - 81)/25²
y² = 544/25²
y = ±(√544)/25
We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.
Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]
In unit circle geometry, cosθ = x, while sinθ = y.
Thus; sinθ = (√544)/25) and cosθ = 9/25
The exact value of [tex]sin\theta[/tex] and [tex]cos\theta[/tex] is [tex]cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex] and this can be determined by forming the equation of circle.
Given :
The terminal side of angle [tex]\theta[/tex] intersect at unit circle ([tex]\frac{9}{25}, y[/tex]).
From general representation of equation of circle , we can write
[tex]x^{2} + y^{2} = a^{2}\\[/tex]
[tex](\frac{9^{2} }{25^{2} })[/tex] + [tex]y^{2} = 1^{2}[/tex]
[tex]y^{2} = 1 - \frac{81}{625}[/tex]
[tex]y^{2} = \frac{625-81}{625}[/tex]
[tex]y^{2}=\frac{544}{625}[/tex]
Taking square root both sides
[tex]y= \frac{\sqrt{544} }{\sqrt{625} }[/tex]
[tex]y = \frac{\sqrt{544} }{25}[/tex]
We are taking only because point lies in first quadrant.
The terminal side of angel [tex]\theta[/tex] unit circle in first quadrant at [tex](\frac{9}{25} , \frac{\sqrt{544} }{25})[/tex]
In unit circle
[tex]x = cos\theta , y = sin\theta[/tex]
[tex]\rm cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex].
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A football team loses 5 yards on one play and then loses 8 yards on the next play.
a. How many yards did they lose in two plays?
b. How do we represent a loss of 5 yards?
c. How do we represent a loss of 8 yards?
d. What does our addition sentence look like?
e. What is the answer to the question?
Answer:
13
-5
-8
-5+-8
Step-by-step explanation:
a ) they loose 13 yards in two plays.
b )It is represented by - 5 yards.
c) It is represented by - 8 yards.
d) Addition sentence will be ; 8 + 5 = 13
e) The answer will be 13.
It is given that a football team loses 5 yards on one play and then loses 8 yards on the next play.
We have to answer the given questions based on the provided data.
What will be the value if 2 times of 10 is added to 10 ?
The value will be ; 20 + 10 = 30.
As per the question ,
A football team loses 5 yards on 1st game and 8 yards on 2nd game.
Let's give answer to the question ;
a)
Total yards the team lost in two plays
= 8 +5
= 13
b) As the team is loosing 1st play , we can consider it as a negative value.
So ,
It can be represented by x = - 5 yards.
c) As the team is loosing in 2nd play , we can consider it as a negative value.
So ,
It can be represented by x = - 8 yards.
d) The expression for addition can be written as ;
8 + 5 = 13
e) The answer to the question will be equal to 13 yards.
Thus , we can conclude that ;
a ) they loose 13 yards in two plays.
b )It is represented by - 5 yards.
c) It is represented by - 8 yards.
d) Addition sentence will be ; 8 + 5 = 13
e) The answer will be 13.
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Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy
of Rectangle A and is multiplied by the scale factor 7. What are the
dimensions of Rectangle B?
Use the equation for the surface area of a cylinder, SA = 2^r2 + 2arh, where r is
the radius and h is the height. Find h if the surface area is 207.24 square inches and
the radius is 3 inches. Use 3.14 for it and round your answer to the nearest whole
number if needed.
Answer:
8inStep-by-step explanation:
the given formula in the question is not correct
here is the correct formula
S. A. =2πr^2 +2πrh
given that S.A=207.24
radius r= 3in
207.24=2*3.142*(3)^2 +2*3.142*(3)h
207.24=56.556 +18.852h
207.24-56.556=18.852h
150.684=18.852h
h=150.684/18.852
h=7.99
Approximately the height is 8in
Nancy has 192 golf balls.
How many dozen golf balls does she have?
Answer:
16
Step-by-step explanation:
192/12=16
hope this helps :3
if it did pls mark brainliest
Answer:16
192/12 equals 16
3x34343334445877958689
Answer:
The product would be 1.0303e+20
Which model represents 3/4 x 1/3
i’ll mark brainlest! pls help! :/
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
d = [tex]\sqrt{(5-(-4)^2+(5-(-4)^2 \\[/tex]
d = [tex]\sqrt{(9)^2+(9)^2[/tex]
d = [tex]9\sqrt{2}[/tex]
Answer:
D i think... sry if im not correct i tried my best
Step-by-step explanation:
Find the unknown angle measure.
Answer:
58 degrees
Step-by-step explanation:
add the 2 shown, 74+48, to get 122 all triangles add up to 180 so subtract 122 from 180 and you get 58
A scaled drawing of a rectangle park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of the actual park in square units?
Area of the actual park is 56000 square yards.
Step-by-step explanation:
A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.
Actual length of the park has been given as 280 yards.
So scale factor used in the drawing is 7 inches
= 280 yards
Or 1 inch = 40 yards
Since width of the rectangular park is = 5 inch
So actual width of the park will be = 5×40 = 200 yards
Now we can calculate the area of the park.
Actual area of the park = Length × Width
= 280×200
= 56000 yards²
Therefore, area of the actual park is 56000 square yards.
11. In the figure, AC = 24 and AB = BC. Point D (not shown) is on the line between A and B such that AD = DB.
What does DC equal?
Answer with step-by-step explanation:
If AD = DB, then D would be the midpoint of AB. If AB = BC, then B would be the midpoint of AC. If so, lets add another point called E. E is the midpoint of BC, which would divide AC into fourths. DC = DB + BE + EC. So, DC is 3/4 of 24, which is 18.
Hope this was helpful!
Ida purchases a variety bag of taffy to share with her friends. The bag contains pieces with the flavors of blueberry, strawberry, and lemon. Ida wants to know how many pieces of each flavor are in the bag. She pulls 25 pieces from the bag at random and records their flavor. Her results are shown in the following table.
A: Given the results of Ida’s experiment, what is the probability that the next piece of taffy she pulls from the bag will be lemon-flavored?
B: If the bag contains a total of 200 pieces of taffy, how many of the pieces are likely lemon-flavored?
Select one answer for question A and one answer for question B.
(Table Below)
Flavor Count
blueberry 8
strawberry 5
lemon 12
Possible Answers:
A: 8/25
A: 12/25
A: 13/25
A: 3/5
B: 96 pieces
B: 40 pieces
B: 64 pieces
B: 100 pieces
Answer:
A. 12/25
B. 96 pieces
Step-by-step explanation:
A. For this, Ida got 12/25 lemon taffies, therefore the probability is the same.
B. The ratio of lemon to other taffies is 12/25. This means that for every 25 pieces of taffy, 12 of them are lemmon. If you multiply the numerator and denominator by 8, you get 96/200, which says that out of 200 pieces, 96 should be candy.
Marti wants to buy a dress priced at $89.75. If the sales tax is 8%, what is the total amount she must pay for the dress?
Please help me with this problem please ;(
9514 1404 393
Answer:
-2
Step-by-step explanation:
The average rate of change on the interval [3, 9] is ...
(f(9) -f(3))/(9 -3) = (41 -53)/(9 -3) = -12/6 = -2
plz help i need this quick consider the equation 9(x+4)=-27what value of x makes this statement true?
Answer:
x=-7
Step-by-step explanation:
which is an example of a non-renewable resorce?
Answer: Fossil Fuels such as coal and oil
Step-by-step explanation:
You accept a job salary of $36,700. After 6 months you receive a 4% raise. What’s your new salary?
Answer 25:
Step-by-step explanation:
8 tomatoes for $2 unit rate
I don't have much so please 17
0.005 is 1/10 of 0.05 true or false
Answer:
i got 1/2000
Step-by-step explanation:
please help me with this question
Answer:
2c^2
Step-by-step explanation:
c3-c1=c2
d2-d2=0
8/4=2
Mikel wants to hire a carpenter to remodel a bathroom.
Both carpenters interviewed charge a flat fee for setting up,
plus an hourly wage. Bonzo Bathrooms charges $50 to set
up and $27 per hour. Wonder Waterclosets charges $35 to
set up and $30 per hour. For how many hours of work
would the two bathroom carpenters charge exactly the same
amount?
A)4 1/2hours
B)51/2hours
C)5hours
D)4 hours
Please answer the mushroom soup question
6. Doug has been evicted from his home. He sits on the street corner with a homemade
sign asking people to give him food. Doug is wearing only shorts and a t-shirt in the
snowy afternoon. Doug plays his harmonica in hopes of attracting some donors. One
kind soul brings him a cup of hot chocolate. A passerby yells at Doug to "Get a job!"
upsetting Doug so much that he spills the steaming hot chocolate on his leg.
john goes out to eat at a local restaurant the bill comes to $47.38 john wants to leave a 20% tip how much of a tip should he leave?
Answer:
$56.86
Step-by-step explanation:
6x-4=3x+4 i need help doing this
the answer would be,,..................... .................................... I have no clue AT ALL¶§§
Answer:
x = 8/3
Step-by-step explanation:
6x-4=3x+4
Subtract 3x from each side
6x-3x-4=3x-3x+4
3x-4 =4
Add 4 to each side
3x-4+4 = 4+4
3x =8
Divide each side by 3
3x/3 = 8/3
x = 8/3
Answer:
hi
Step-by-step explanation:
exact form: 8/3
decimal form:
2.6 repeating sign over six
mixed number form: 2 2/3
Z+(z-6)-2=-10
How donI solve this?
Answer:
z = -1
Step-by-step explanation:
Simplifying
z + (z + -6) + -2 = -10
Reorder the terms:
z + (-6 + z) + -2 = -10
Remove parenthesis around (-6 + z)
z + -6 + z + -2 = -10
Reorder the terms:
-6 + -2 + z + z = -10
Combine like terms: -6 + -2 = -8
-8 + z + z = -10
Combine like terms: z + z = 2z
-8 + 2z = -10
Solving
-8 + 2z = -10
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 2z = -10 + 8
Combine like terms: -8 + 8 = 0
0 + 2z = -10 + 8
2z = -10 + 8
Combine like terms: -10 + 8 = -2
2z = -2
Divide each side by '2'.
z = -1
Simplifying
z = -1
Answer:
z= -1
Step-by-step explanation:
Simplifying
z + (z + -6) + -2 = -10
Reorder the terms:
z + (-6 + z) + -2 = -10
Remove parenthesis around (-6 + z)
z + -6 + z + -2 = -10
Reorder the terms:
-6 + -2 + z + z = -10
Combine like terms: -6 + -2 = -8
-8 + z + z = -10
Combine like terms: z + z = 2z
-8 + 2z = -10
Solving
-8 + 2z = -10
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 2z = -10 + 8
Combine like terms: -8 + 8 = 0
0 + 2z = -10 + 8
2z = -10 + 8
Combine like terms: -10 + 8 = -2
2z = -2
Divide each side by '2'.
z = -1
Simplifying
z = -1
what is the approximate circumference pf the circle shown below?
Answer:
A: 20pi
Step-by-step explanation:
c=2(pi)r
c=2(pi)(10)
c=20(pi)
c=62.8
Parking on campus is often expensive, and it is tempting to park illegally and take your chances on getting a ticket. From past experience, the probability of getting a ticket is about 0.30 on any given day, and because you always change your parking location, each day's outcome is independent of the previous day's outcome. The probability that you will NOT get a ticket on two days is
Answer:
P(not getting a ticket for 2 days) = 0.49
Step-by-step explanation:
We are told that the probability of getting a ticket on any given day is 0.3.
Thus;
P(getting a ticket a day) = 0.3
This means that;
P(not getting a ticket a day) = 1 - 0.3 = 0.7
Now, 0.7 is probability of not getting a ticket for 1 day. Since each day's outcome is independent of the previous day's outcome, it means that for n days, probability of not getting a ticket for n days will be;
P(not getting a ticket for n days) = 0.7ⁿ
For 2 days, its = 0.7² = 0.49
Thus;
P(not getting a ticket for 2 days) = 0.49
Write a rule that represents the function.
(1,1/2),(2,1/4),(3.1/8),(4,1/16),(5,1/32)
Answer:
Step-by-step explanation:
. cubesi, 20,64. AV 1,6,11,16... Add 5. 1, 2, 4, 8. . Multiply 2. $2,9,28,65... cubes add 1. 31,49,16 ...
anybody know this and can help me ?
Looking at the equation, 5x + 6 = 46, will
x = 7 make the equation true?
Why or why not?
Answer:
This is not true so x=7 is not a solution
Step-by-step explanation:
5x + 6 = 46
Let x = 7
5*7 +6 = 46
35+6 = 46
41 = 46
This is not true so x=7 is not a solution
