Answer: 9x16
Step-by-step explanation: The correct option is perfect square of 3x4 is 9x16.
Answer:
1/10x * 1/10x
Step-by-step explanation:
Writing a term with negative exponents is the same as putting it in a fraction.
10x^-1 = 1/10x
so the expression would be
1/10x * 1/10x
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
1) Angle 5π / 3 radians:
Convert radians to degrees: 5π/3 × 180° / π = 300°
300° is in the fourth quadrant
The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
∴ The reference angle for this angle is 60°.
2) Angle 5π / 6 radians:
Convert radians to degrees: 5π/6 × 180° / π = 150°
150° is in the second quadrant
The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
∴ The reference angle for this angle is 30°.
3) Conclusion:
Since the reference angles are different, the tangent ratios have different values.
tan (5π/3) = - tan(60°) = - √3
tan (5π/6) = - tan(30°) = - (√3)/3
Note that the tangent is negative in both second and fourth quadrants.
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<span>1) Find P(E1UE2)
E1 probability= 1/2</span>
<span>There are 26 red cards in a 52 card deck, so the probability of choosing a red card is = 26/52 = 1/2
E2 probability= 12/ 52 or 3/13</span>
<span>The face cards are: Jacks, Queens, and <span>Kings. There are four suits, so in each suit there are one jack, one queen and one king. The probability is 3 x 4= 12 divided by the total number of cards.
2)</span></span><span>the probability of drawing a blue ball on the first draw: 4 /10
</span>the probability of drawing a white ball on the second drawn: 6/9 (because there is less one ball from the previous draw).
the probability of the cases together is 4/15 ( 4 /10 x 6/9) <span>since they are independent cases.</span>
Answer:
1. y = 5x + 20
2. $20 the amount you saved mowing your aunt's lawn.
3. 21 weeks
Step-by-step explanation:
1. 5 is the slope because it is the rate. 20 is the y-intercept because that is how much you already have.
2. 20 because that is how much you already have.
3. Since you already have $20, you need to subtract 125 by 20 to get 105. Then you divide 105 by 5 to get 21 weeks.
