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Whitepunk [10]
2 years ago
7

2. MOUNTAIN BIKING On a mountain bike trip along the Gemini Bridges Trail in Moab, Utah,

Mathematics
1 answer:
ozzi2 years ago
7 0

Using the slope concept, it is found that the angle of elevation to the top of the bridges is of 57.7º.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

It's also the tangent of the angle of depression.

In this problem:

  • The horizontal change is of 60 m.
  • The vertical change is of 100 - 5 = 95 m.

Hence:

\tan{\alpha} = \frac{95}{60}

\alpha = \arctan{\left(\frac{95}{60}\right)}

\alpha = 57.7

The angle of elevation to the top of the bridges is of 57.7º.

More can be learned about the slope concept at brainly.com/question/18090623

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Can they be written as a fraction and if so why
Kruka [31]

The first one can be written as a fraction because it is a repeating decimal.

The second one can be written as a fraction because it is a repeating decimal.

The third one can not be written as a fraction since it is nether terminating nor repeating.

The last one can be written as a fraction since it is a terminating decimal.


4 0
3 years ago
Read 2 more answers
What is the quotient?<br> -4/5 divided by 2
Paraphin [41]
Answer: -0.4

-(4/5) ÷2=-0.4

Explanation: The quotient is the answer to a division problem.
5 0
3 years ago
In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people 
Aleksandr [31]

Answer:

a) 1,360,760,000

b) 1,361,000,000

c) 1,400,000,000

d)  1,360,800,000

Step-by-step explanation:

We have to round off the given population number to certain digits.

The following are the rules to round of a number:

  1. First identify the digit to be rounded.
  2. If this digit is followed by 5,6,7,8,9 then we round up the number that is increase the digit by 1 and all the numbers to right becomes zero.
  3. If this digit is followed by 0,1,2,3,4 then we round down the number that is decrease the digit by 1 and all the numbers to right becomes zero.

a)  to the nearest thousand.

Thousands place: 0

Right Digit: 1

We round down the number

Rounded to the nearest 1,000 or t he thousands Place =  1,360,760,000

b)  to the nearest million

Millions place: 0

Right Digit: 7

We round up the number

Rounded to the nearest million places = 1,361,000,000

c)  to nearest hundred million

Hundred million place: 3

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,400,000,000

d)  to the nearest hundred thousand.

hundred thousand place: 7

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,360,800,000

7 0
3 years ago
Read 2 more answers
The sum of three consecutive integers if the last integer is z.
lubasha [3.4K]
The last integer is z, then the other two are z-1 and z-2.
The sum is therefore
(z-2)+(z-1)+z=3z-3.
6 0
3 years ago
What is −5x+2y=9<br> y=7x<br> ​
Anna71 [15]

Answer:

x=1, y= 7

Step-by-step explanation:

−5x+2y=9

y=7x

Substitute the second equation in for the first

-5x +2(7x) = 9

-5x + 14x = 9

Combine like terms

9x = 9

Divide by 9

9x/9 = 9/9

x =1

Now find y

y = 7(1)

y =7

7 0
3 years ago
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