in the accompanying diagram of the unit circle, the ordered pair _ represents the point where the terminal side of 0 intersection in the unit circle
Answers
The ordered pair of a unit circle is represented as:
[tex](x,y) \to (\sin(\theta),\cos(\theta))[/tex]
The point where the terminal side of [tex]\tehta[/tex][tex]\theta[/tex] intersect with the unit circle is: 240
The given parameter can be represented as:
[tex](x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})[/tex]
This means that:
[tex]\sin(\theta) = -\frac{\sqrt 3}{2}[/tex]
[tex]\cos(\theta) = -\frac{1}{2}[/tex]
Let the angle between the x-axis and the terminal side be [tex]\alpha[/tex]
So, we have:
[tex]\theta = 180 + \alpha[/tex]
Using [tex]\cos(\theta) = -\frac{1}{2}[/tex]
The equation becomes
[tex]\cos(180 + \alpha) = -\frac{1}{2}[/tex]
Apply cosine formula
[tex]\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}[/tex]
[tex]-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}[/tex]
[tex]-1*\cos(\alpha)= -\frac{1}{2}[/tex]
Divide both sides by -1
[tex]\cos(\alpha)= \frac{1}{2}[/tex]
Take arccos of both sides
[tex]\alpha= \cos^{-1}(\frac{1}{2})[/tex]
[tex]\alpha= \cos^{-1}(0.5)[/tex]
[tex]\alpha= 60[/tex]
Recall that:
[tex]\theta = 180 + \alpha[/tex]
[tex]\theta = 180 +60[/tex]
[tex]\theta = 240[/tex]
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Answer:
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Step-by-step explanation:
Kendall spent 2/5 of the money she made babysitting on shirts. If she babysat for 6 hours and made 8 an hour. How much money did she have left after she bought the shirts.
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Answer:
Step-by-step explanation:
Total hours work: 6 hours
Hourly wages: $8.00
Kendall total amount made for babysitting: 6 x $8 = $48.00
Total amount spent on shirts: $48 x 2/5 = $19.20
Amount of money Kendall had left after purchasing the shirt:
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Answers
Answer:
Answer is 35
Step-by-step explanation:
After 15 days, 600-180=420.
After 15 days, 600-180=420.Therefore, 600 : 50
After 15 days, 600-180=420.Therefore, 600 : 50 420 : X
Let X represent the number of days.
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X. × 50 ----. ----. Or Simply 50/ 600= 1/12
X. × 50 ----. ----. Or Simply 50/ 600= 1/12 420. 600.
No u cross multiply this fraction.
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X × 12= 12X 420 × 1 = 420
U have to let X stand alone.
12X = 420
12X = 420 ------. -------
12X = 420 ------. ------- 12. 12
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Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, write the liner equation that represents darnells constant speed
Answers
9514 1404 393
Answer:
s = (8 mi)/(24 min/(60 min/h))
Step-by-step explanation:
Let s represent Darnell's constant speed. We know that speed, distance, and time have the relationship ...
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
160 yet it's supposa be in Cuboid e.g. 160cm3
Step-by-step explanation:
Volume=L×H×W
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Step-by-step explanation:
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Step-by-step explanation:
y-y₁=m(x-x₁)
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Answer:
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Step-by-step explanation:
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tinyurl.com/wpazsebu
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Step-by-step explanation:
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B
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Answer:
D -13/35 ( negative 13/35 )
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This question has two parts. First, answer Part A. Then, answer Part B. Part A Pete is making 8 identical fruit baskets as gifts. Each basket contains some apples and 12 oranges. Pete uses a total of 168 pieces of fruit to make the baskets. Which equation can be used to determine the number of apples, a, that are in each basket? Multiple choice question.
Answers
Answer:
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Answers
Answer:
200 soles
Step-by-step explanation:
De la pregunta anterior, se nos da un descuento del 20%.
Por lo tanto, la fórmula para resolver la pregunta anterior es:
Precio nuevo = Precio inicial - (Porcentaje de descuento × Precio inicial)
De la pregunta anterior,
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Precio inicial = x
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Answers
Answer:
[tex]9\sqrt{2}[/tex] feet
Step-by-step explanation:
Consider the attached figure.
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Answer:
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Hope it helps..
Have a great day
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
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Answer:
it should be C based on the p
Answer:
A.
Step-by-step explanation:
A is correct because the pizza(p) cost $6 not $2.50 and the Drinks(r) cost $2.50 not $6 so that already eliminates C and D.
And too chose between A and B is that did it need to be less than or equal too $50 (≤) .
or did it need too be more than or equal too 9p+2.5r (≥).
it needed to be less than or equal too $50 so it is ≤
Hope this helps!!
who is the father of politics