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tatiyna
3 years ago
11

The angle of depression from the top of a 150 m high cliff to a boat at sea is 7 degree. How much closer to the cliff must the b

oat move for the angle of depression to become 19 degree.

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0
The angle of depression from the top of a 150 m high cliff to a boat at sea is 7 degree. How much closer to the cliff must the boat move for the angle of depression to become 19 degree.

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H affects horizontal shift (shift to the right or left) means moves graph right or left

Step-by-step explanation:

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3 years ago
The account balance of each of three children at the end of a month is shown below:
xeze [42]

Answer:

A)  See attached.

B)  Cheryl owes the bank more.

Step-by-step explanation:

Given account balances:

  • John:  -$2.75
  • Cheryl:  -$3.00
  • Andrew:   $2.75

(Andrew has as much savings in his account as the amount John owes).

<h3><u>Part A</u></h3>
  • Draw a straight, horizontal line with arrows on both ends.
  • Place a tick in the center of the line and label it zero.
  • Draw 4 evenly spaced ticks either side of the zero.
  • Number the ticks to the right of the zero 1, 2, 3 and 4.
  • Number the ticks to the left of the zero -1, -2, -3, and -4.
  • Mark -2.75, -3 and 2.75 on the number line.
  • Label the marks with John, Cheryl and Andrew.

(See attached number line).

<h3><u>Part B</u></h3>

The <u>absolute value</u> of a number is its <u>positive numerical value</u>.

To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:

  • John:  |-2.75| = 2.75
  • Cheryl:  |-3.00| = 3.00

As 3.00 > 2.75, Cheryl owes the bank more.

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2 years ago
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3 years ago
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Doug is going to ride his bicycle 3{,}0003,0003, comma, 000 miles across the United States, from coast to coast. He wants to cho
Anuta_ua [19.1K]

The chances of success in cycling across the United States is higher on the central route because more than half of the people who started on this route finished it (52%), while on the other routes the chances of successful completion is lower (route north (0%) south (0.02%).

<h3>What is probability? </h3>

Probability is a way of measuring the certainty that an event will occur represented by a numerical value from 0 to 1, where an impossible event corresponds to zero and a certain event corresponds to one.

According to the above, to find the probability of success in crossing the United States from coast to coast, we must divide the number of successful attempts by the total number of attempts as shown below:

North Route

  • 0 ÷ 2 = 0

Center Route

  • 10 ÷ 19 = 0.52

South Route

  • 1 ÷ 39 = 0.025

According to the above, the highest probability of success is found in the central route with 0.52, that is to say that more than half of those who tried this route finished.

Note: This question is incomplete because there is missing information. Here is the complete information:

Doug is going to ride his bicycle 3,000 miles across the United States, from coast to coast. He wants to choose the route that will give him the greatest chance of success. Here's what he finds in his research on him:

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana.

There have been 19 attempts on the central route from Vir-ginia to California; 9 of those riders didn't do it and the other 10 made it all the way to the Pacific.

There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1,300 and 1,700 miles.

 

Learn more about probabilities in: brainly.com/question/8069952

5 0
2 years ago
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