Answer:
sec(θ) = -5/2
Step-by-step explanation:
It can be helpful to draw a triangle with sides that produce the given ratio. See the attachment. Then the third side of the triangle can be found using the Pythagorean theorem, if necessary. Finally, the ratio for the desired trig function can be determined.
sec = hypotenuse/adjacent
sec(θ) = 5/-2 = -5/2
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If you don't want to do that, or if you have various trig identities memorized, you can use the appropriate trig identity.
sin² + cos² = 1
so ...
sec² = 1/cos² = 1/(1 -sin²)
sec = 1/√(1 -sin²)
Since the tangent is positive, this is a third-quadrant angle. The secant will be negative.
sec(θ) = -1/√(1 -(21/25)) = -√(25/4) . . . . . filling in the given value for sin(θ)
sec(θ) = -5/2
Answer:
65
Step-by-step explanation:
Answer:
y=-1/2x + 3/2
Step-by-step explanation:
Well the first thing you need to do is set up a proportion.
8 girls 56 girls
-------- = -----------
7 boys x
Now what we have to do is find out what we multiplied by 8 to get 56.
Simply divide.
56 ÷ 8 = 7
So, we figured out that the magic number is 7!
So we multiply the boy number by 7
7 x 7 = 49
So this means that there are 49 boys on the field trip.
1) Yes
2) 5 minutes
3) 2 minutes
Step-by-step explanation:
1: Yes because, using the vertical line test, the line will cut the graph once meaning that the graph will form a function
2: 5 minutes because the horizontal line represents that she rested, therefore she was at the park for five minutes
3: 2 minutes because she traveled and reached home between 6 and 8 minutes
