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Lynna [10]
3 years ago
14

A plane flew 193 km in 12 minutes. At a constant speed what was the speed of the air plane at km per hour?

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

965  km per hour

Step-by-step explanation:

The total distance flown was 193km which was flown at  constant speed and took 12 minutes.  Dividing 193 by 12 gives us the km per minute

 193/12 = 16.0833333

but this isn't the correct answer, this is in km per minute, and the question asked for km per hour.  Since there are 60 minutes in an hour, multiply the answer by 60 to calculate how far the plane flew per hour.

16.083333333(60)  =  965

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Sheng owns the company Sandy Shores, which packages bottles of sand in two
LenKa [72]

Answer:

The maximum amount of sand in ounces that the company allows for each bottle is 25.5 ounces.

Step-by-step explanation:

The amount of sand that the company Sandy stores allows in each small bottle is determined by the amount of sand required for the bottle size plus the error in the amount of sand for the bottle size.

Now since each small bottle contains 25 ounces of sand and the error in the amount of sand contained in the bottle is 0.5 ounces, the amount of sand contained in the bottle = required amount ± error.

For the minimum amount, we subtract the error and for the maximum amount, we add the error.

Since the maximum amount is required, we have,

Maximum amount = required amount + error

required amount = 25 ounces and error = 0.5 ounces. So,  Maximum amount = 25 ounces + 0.5 ounces = 25.5 ounces.

So, the maximum amount of sand in ounces that the company allows for each bottle is 25.5 ounces.

6 0
2 years ago
The angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the
Hatshy [7]

Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

3 0
3 years ago
100.6 + 296.5 using<br> mental math
ruslelena [56]

Answer:397.1....i think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Suppose that a and b are integers, a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ) . Find the integer c with 0 ≤ c ≤ 12 such that: c ≡ 9 a
g100num [7]

Answer:

A) For c ≡ 9 a ( mod 13 ) ; C is 10

B) For c ≡ 11 b ( mod 13 ) ; C is 8

C) For c ≡ a + b ( mod 13 ); C is 0

D) For c ≡ a² + b² ( mod 13 ); C is 6

E) For c ≡ a² − b² ( mod 13 ) ; C is 0

Step-by-step explanation:

This is a modular arithmetic problem where a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ).

And 0 ≤ c ≤ 12.

A) c ≡ 9 a ( mod 13 )

Substituting the value of a to obtain;

c ≡ 9 x4 ( mod 13 ) = 36 mod 13

To find 36 mod 13 using the Modulo Method, we first divide the Dividend (36) by the Divisor (13).

Second, we multiply the whole part of the Quotient in the previous step by the Divisor (13).

Then finally, we subtract the answer in the second step from the Dividend (36) to get the answer. Here is the math to illustrate how to get 36 mod 13 using Modulo Method:

36 / 13 = 2.769231

2 x 13 = 26

36 - 26 = 10

Thus, the answer to "What is 36 mod 13?" is 10

So C = 10

B) c ≡ 11 b ( mod 13 ) = 11 x 9 ( mod 13 ) = 99 ( mod 13 )

Using the same method as above,

99 ( mod 13 );

99 / 13 = 7.6155

7 x 13 = 91

99 - 91 = 8

So, C = 8

C)c ≡ a + b ( mod 13 ) = 4 + 9 (mod 13) = 13 (mod 13)

Thus;

13 / 13 = 1

1 x 13 = 13

13 - 13 = 0

So, C = 0

D)c ≡ a² + b² ( mod 13 ) = 4² + 9²( mod 13 ) = 16 + 81 ( mod 13 ) = 97 ( mod 13 )

Thus;

97 / 13 = 7.46154

7 x 13 = 91

97 - 91 = 6

So, C = 6

E)c ≡ a² − b² ( mod 13 )= 4² - 9²( mod 13 ) = 16 - 81 ( mod 13 ) = - 65 ( mod 13 )

Thus;

-65 / 13 = - 5

-5 x 13 = - 65

-65 - (-65) = 0

So, C = 0

3 0
3 years ago
Which of the following sets of ordered pairs does NOT show a function? A (1,3); (1,4): (1,5) : (1,6) B (2,6); (3,9); (4,12); (5,
polet [3.4K]

Answer:

Electricity is the flow of electrical power or charge. It is a secondary energy source which means that we get it from the conversion of other sources of energy, like coal, natural gas, oil, nuclear power and other natural sources, which are called primary

8 0
2 years ago
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