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mina [271]
3 years ago
11

1. Given the triangle below, what is the value of sin 8 ? 12 6 ก 65

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer:

(2/5)√5

Step-by-step explanation:

from the sine rule (see attached for reference), we can construct the following relationship

12/sinθ  = (6√5) / sin 90°

recall that sin 90° = 1, hence our equation becomes:

12/sinθ  = (6√5) / 1

12/sinθ  = (6√5)   (rearranging)

12 ÷ (6√5)  = sin θ

sin θ = 12 / (6√5)

sin θ = 2 / √5   (moving radical to numerator by multiplying by √5/√5)

= 2 / √5     x     √5/√5

= 2√5 / 5

= (2/5)√5

lara [203]3 years ago
6 0

Answer:

2

Step-by-step explanation:

bc

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The area of a circle is πr2. To find the area of a sector with a central angle of Θ, measured in radians, by what should you mul
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There are 2pi radians in a circle

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so
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6 0
2 years ago
Read 2 more answers
College Board
Hatshy [7]
<span>Since this is an SAT Math Level 2 problem derivatives should not be required to find the solution. To find "How many more hours of daylight does the day with max sunlight have than May 1," all you need to understand is that sin(x) has a maximum value of 1.

The day with max sunlight will occur when sin(2*pi*t/365) = 1, giving the max sunlight to be 35/3 + 7/3 = 14 hours

Evaluating your equation for sunlight when t = 41, May 1 will have about 13.18 hours of sunlight.

The difference is about 0.82 hours of sunlight.

Even though it is unnecessary for this problem, finding the actual max sunlight day can be done by solving for t when d = 14, of by the use of calculus. Common min/max problems on the SAT Math Level 2 involve sin and cos, which both have min values of -1 and max values of 1, and also polynomial functions with only even powered variables or variable expressions, which have a min/max when the variable or variable expression equals 0.

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3 0
3 years ago
Please help..thank you
iVinArrow [24]

Answer:

D

Step-by-step explanation:

To shift down:

F(x)-b

To shift up:

F(x)+b

To shift right:

F(x-b)

To shift left:

F(x+b)

7 0
3 years ago
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What is the slope of the line that passes through (2,12) and (4,20)
iris [78.8K]

Answer:

D. 4

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(20 - 12) / (4 - 2)

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= 4

So, the slope is 4.

6 0
2 years ago
Dose this table represent a function?
iogann1982 [59]
No it doesnt because it 8 is repeated and function has 1 outcome for each x
8 0
3 years ago
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