The measure of the indicated angle to the nearest degree is 47°.
<h3>What is the measure of the angle?</h3>
Given the data in the question;
- Adjacent = 36
- Hypotenuse = 53
- Angle θ = ?
From trigonometric ratio, Cosθ = Adjacent / Hypotenuse
Cosθ = 36/53
θ = cos⁻¹( 36/53 )
θ = 47°
Therefore, the measure of the indicated angle to the nearest degree is 47°.
Learn more about trigonometric ratio here: brainly.com/question/28016662
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The missing one on the top row is 28. The one missing on the bottom is 4
Answer:
90 Years = 47,304,000 Minutes = 47304000 Minutes.
Step-by-step explanation:
0.04761 would be the answer
Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
