Answer:
x + √y
Step-by-step explanation:
A number x plus the square root of a number y
There are two variables involved
Variable x
Variable y
Plus means addition
Square root of y can be written as
√y
A number x plus the square root of a number y can be written as
x + √y in algebraic expression
The answer is x + √y
Rate of gaining altitude is ratio of height gained to time spent. The rate at which the plane is gaining altitude is 130.9 miles per hour.
Suppose that we have to measure the rate of change of y as x changes, then we have:
where we have
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For the given case, the rate at which the plane is gaining altitude is the ratio of the height it gains per unit time(here per hour).
Referring to the diagram attached below, as he will walk 475 miles per hour(which is constant, this can be taken as hypotenuse's length.
The length BC is the height the plane gain each hour as he covers 475 miles in slantdirection.
Using the sin ratio, and measuring from the angle A, we get:
Thus, the height gained by plane per hour is 130.9 miles.
Rate of height gaining = (new height - old height)/(1 hour)
Rate of height gaining = (old height + 130.9 miles - old height)/1 hour
Rate of height gaining = 130.9 miles per hour.
This is the rate at which the plane is gaining altitude(since it is ratio of how much height it gains to how much time is spent gaining that height)
Hence, The rate at which the plane is gaining altitude is 131.1 miles per hour.
Learn more about trigonometric ratios here:
Answer:
130.9 miles per hour.
Step-by-step explanation:
sine 16 = x / 475 where x = rate of gaining altitude.
x = 475 sin 16
= 130.9 miles per hour.
Answer:
Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.
Step-by-step explanation:
Given that:
Scores of four tests
78, 89, 90 and 96
Let,
x be the score on fifth test.
Average is the sum of quantities divided by total number of quantities.
Average = 90
Average =
Putting the values in the formula;
Hence,
Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.
B.) n+2n=59;n=19;2n=38
C.) n+n+1=59;n=29;n+1=28
D.) n+n+1=59;n=29;n+1=30
Answer:
D) n + n + 1 = 59, n = 29, n + 1 = 30
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Using the conversion
1 Kg = 1000 g , then
3745 ÷ 1000 = 3.745 Kg