Find A to the nearest degree if cos A = 0.7660

Mathematics

1 answer:

STALIN [3.7K]3 years ago

5 0

Answer:

$A = 40^\circ$

Step-by-step explanation:

Use the inverse cosine function.

$\cos A = 0.7660$

$A = \cos^{-1} 0.7660$

$A = 40^\circ$

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at a track meet the longest shot put throw by a boy is 25 feet 8 inches the longest shot put by girls 19 feet 3 inches how many

Vesna [10]

Boy record = 25 feet 8 inches
Girl record = 19 feet 19 inches
Boy record / Girl record = 25 feet 8 inches / 19 feet 19 inches
Change the feet into inches
1 feet = 12 inches
25 feet = 25* 12 = 300 inches + 8 inches = 308 inches

19 feet = 19 * 12= 228 inches + 19 inches = 247 inches
Boy record / Girl record = 308 inches / 247 inches
Boy record / Girl record = 1.246 inches
Boy record = 1.246 Girl record
So
it is 1.246 times greater than girls record.

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2 years ago

1. A given binomial distribution has a mean of 153.1 and a standard deviation of 18.2. Would a value of 187 be considered usual

Triss [41]

Answer:

Usual, because the result is between the minimum and maximum usual values.

Step-by-step explanation:

To identify if the value is usual or unusual we're going to use the Range rule of thumbs which states that most values should lie within 2 standard deviations of the mean. If the value lies outside those limits, we can tell that it's an unusual value.

Therefore:

Maximum usual value: μ + 2σ

Minimum usual value: μ - 2σ

In this case:

μ = 153.1

σ = 18.2

Therefore:

Maximum usual value: 189.5

Minimum usual value: 116.7

Therefore, the value of 187 lies within the limits. Therefore, the correct option is D. Usual, because the result is between the minimum and maximum usual values.

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2 years ago

3 + 2x ≥ -4 solutions

erik [133]

Answer:

x ≥ -7/2

Step-by-step explanation:

3 + 2x ≥ -4

Subtract 3 from each side

3-3 + 2x ≥ -4-3

2x ≥ -7

Divide each side by 2