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Anuta_ua [19.1K]
3 years ago
15

Identify the reference angle Ф for each given angle, Ф. When ∅=300°, Ф=

Mathematics
1 answer:
Kay [80]3 years ago
4 0
<h3>Answer:  60 degrees</h3>

=====================================================

Explanation:

The given angle is ∅ = 300. This x value is between 270 and 360, so we're in quadrant IV (the southeast quadrant)

The rule to get the reference angle y for this quadrant is

Ф = 360-∅

This tells us the angle made with the positive x axis

Ф = 360-∅

Ф = 360-300

Ф = 60

A 60 degree angle forms with the positive x axis as shown in the diagram below.

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A deep sea diving bell is being lowered at a constant rate. After 10 ​minutes, the bell is at a depth of 600 ft. After 40 minute
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<h2>Average rate of lowering per​ minute = 36.67 ft/min</h2>

Step-by-step explanation:

After 10 ​minutes, the bell is at a depth of 600 ft

After 10 minutes

                   Depth of bell = 600 ft

After 40 minutes the bell is at a depth of 1,700 ft.

After 40 minutes

                   Depth of bell = 1700 ft

Time gap = 40 - 10 = 30 minutes

Depth fallen = 1700 - 600 = 1100 ft

We have

           Depth fallen = Average rate of lowering per​ minute x Time gap

           1100 = Average rate of lowering per​ minute x 30

           Average rate of lowering per​ minute = 36.67 ft/min

7 0
3 years ago
Can someone pls describe how to do this.. and thank you
luda_lava [24]

Mathematics includes the study of such topics as quantity, structure, space, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof.

Step-by-step explanation:

Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning", and is sometimes shortened to maths (in England, Australia, Ireland, and New Zealand) or math (in the United States and Canada). ... Numbers: how things can be counted.

Therefore, Mathematics is the abstract study of topics such as quantity (numbers), structure, space, and change!

7 0
3 years ago
Read 2 more answers
A politician claims that a proposal for a new traffic law is broadly supported by both political parties and that a person from
Mashutka [201]

Answer:

Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct

Step-by-step explanation:

The proportion from the sample of people from his party that support the law = 70%

The number the members of the politicians political party that support the law = 550 people

The proportion from the sample of people from the other party that support the law = 65%

The number the members of the politicians political party that support the law = 420 people

The confidence level of the test = 95%

The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)

Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.

4 0
3 years ago
20 is what percent of 25 ?
Musya8 [376]

Answer: 80%

Step-by-step explanation:

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4 years ago
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Find the area of the triangle below.<br> 15<br> 9
defon

Answer:

67.5

Step-by-step explanation:

If your triangle's base is 15, and your height is 9, then the area is 67.5

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