Substitute 5 for g so...
5 times 11 =55
The answers to this questions would be:
1. A-> (1.5, 1.5) 5. A and B-> 7 units
2. B-> (-2, -1.5) 6. C and D-> 3 units
3. C-> (-3.5, 2) 7. B and D-> 1 unit
4. D-> (0.5, 0) 8. A and D-> 8 units
-------------------------------- WORD PROBLEMS------------------------------------------
9. 8 feet
10a. (-4, -1) 10b. (4, 1)
Since the probability of roling 12 is 1/36 we subtract that from how many possibiliies there are and we do this
36/36 (or 1)-1/36=35/36
The reduced fraction that represents the sales attained is 17/20
<h3>How to determine the fraction?</h3>
The given parameters are:
Expected = $6000
Attained = $5100
The fraction is represented as:
Fraction = Attained/Expected
So, we have:
Fraction = 5100/6000
Divide by 300
Fraction = 17/20
Hence, the reduced fraction is 17/20
Read more about fractions at:
brainly.com/question/1622425
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Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.
