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kkurt [141]
2 years ago
14

A builder makes all of their ramps with a base to height ratio of 12:112:112, colon, 1 to be wheelchair-accessible. See the diag

ram below, which is not drawn to scale:

Mathematics
1 answer:
valina [46]2 years ago
3 0

Answer:

9.63 metres

Step-by-step explanation:

The base to height ratio =12:1

From the given ramp, Base to Height Ratio =Base:0.8

Therefore:

12:1=Base:0.8

\frac{12}{1}=\frac{Base}{0.8}  \\Base =12 X 0.8=9.6m

To find the length of the ramp, we apply Pythagoras theorem in the right triangle formed.

Length of the ramp ,l

=\sqrt{9.6^2+0.8^2} \\l=9.63\:metres

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Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table be
stiks02 [169]

Answer:

Step-by-step explanation:

Occurrence                 Year seen          Difference

1                                      1949                       -  

2                                     1956               1956 - 1949 = 7

3                                     1963               1963 - 1956 = 7

4                                     1970                1970 - 1963 = 7

Difference between each successive term of year seen = 7 years

Therefore, there is a common difference of 7 years between each successive term.

Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)

2017 - 1970 = 47 (It's not the multiple of 7)

2018 - 1970 = 48 (It's not the multiple of 7)

2019 - 1970 = 49 (multiple of 7)

2020 - 1970 = 50 (It's not the multiple of 7)

Therefore, comet will be seen next in 2019.

Option (C) will be the answer.

If a person is born in 2005

Then difference between 2005 and 1949 = 56 years

Number of times comet seen after 1949 = \frac{56}{7}=8 times

Total number of comet seen in the lifetime = 8 times

5 0
2 years ago
Asher pays 156 every 6 weeks for piano lessons. What is the price per year for piano lessons?
Marta_Voda [28]
About 1352
There r about 52 weeks in a year
Divide 52 by 6 = 8.66666667
Multiply 8.6666667 by 156 you will get 1352 per year
6 0
2 years ago
Read 2 more answers
On a sheet of paper, you have 100 statements written down. the first says, "at most 0 of these 100 statements are true." the sec
Yuki888 [10]
I would go with the second statement is true because if all of the other ones mentioned in the problem had something that would not work either the one before or after would make the statement false excepted for statement two
4 0
2 years ago
Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)
madreJ [45]

Answer:

Hey there!

We can solve this by multiplying 0.3 by 546, which is about 164.

Hope this helps :)

5 0
2 years ago
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Archimedes (ca. 287-212 B.C.) was able to use clever geometric means to determine the relative volumes of a cylinder and the con
VLD [36.1K]

Answer:

The ration of the volume of  cone to that of   cylinder is   \frac{V_{cone}}{V_{cy}} = \frac{1}{3}  

Step-by-step explanation:

From the question we are told that

 The volume of a cone is mathematically represented as

        V_{cone} = \frac{1}{3} \pi r^2 h

The volume of a cylinder is mathematically represented as

       V_{cy} = \pi r^2 h

Now the ratio we are to obtain is

          \frac{V_{cone}}{V_{cy}}  = \frac{\frac{1}{3}  \pi r^2 h}{\pi r^2 h}    

                   \frac{V_{cone}}{V_{cy}} = \frac{\frac{1}{3} }{1}         Note: this is possible because the height and base

                   \frac{V_{cone}}{V_{cy}} = \frac{1}{3}        radius  are the same

6 0
2 years ago
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