Answer:
B
Step-by-step explanation:
Given
sinΘ = 
, then
Θ = 
( ) = 45° → B
Answer:
2.69 x 
Step-by-step explanation:
We are given the heart's speed - 70 bpm
We count the number of minutes in 73 years :
- 1 year = 365 days
- 1 day = 24 hours
- 1 hour = 60 minutes
- 73 x 365 x 24 x 60 = 38,368,800 minutes
We multiply the heart's bpm with 73 years worth of minutes
38,368,800 x 70 = 2,685,816,000
Write the number in scientific notation = 2.68581 x ≈ 2.69 x
Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
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Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Answer: 21/100
Step-by-step explanation:
Number of green marbles = 21
Number of blue marbles = 35
Number of red marbles = 18
Number of yellow marbles = 26
Total number of marbles = 100
The probability of choosing a free marble will be:
= Number of green marbles / Tot number of marbles
= 21 / 100
