Hi!
We can see the river is a straight line.
This means that the angles that fall upon it are supplementary angles, and will add up to 180 degrees.
Therefore:
Combine like terms:
Subtract 21 from both sides:
Divide both sides by 3:
Therefore, the value of x is 53 degrees.
Answer:
The ball will reach a height of 5 ft by the 4th time.
Step-by-step explanation:
The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:
{40, 20, 10,...}
This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:
a_n = a*r^(n-1)
Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:
a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5
The ball will reach a height of 5 ft by the 4th time.
Answer:
-3 -2.5 -1 2 5
Step-by-step explanation:
In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.
Answer:
Option D is right
Step-by-step explanation:
Given are two graphs. The first one is given as
The second one equation we have to find out.
Option A given as
is having x intercept as
(0,1/2). But our g(x) has x intercept as 1. Hence not correct.
Option B: 
This has x intercept as (0,2). Since does not match with g(x) not correct
OPtion C:
Here x intercept = 1 matches with ours.
Also g(2) = 2, twice as that of original f(x)
Hence option C is not right
Option D is only right because x intercept should be 1 and also when x=4 y=2(log 4 to base 2)
The unit of density [kgm^-3] displays the formula.
So density=mass/volume.
Convert 2160g into kilograms [2160/1000=2.160kg]
Convert volume of 240cm^3 into m^3
100cm=1m
100x100x100=1000000cm^3=1m^3
240/1000000=[2.4x10^-4]
Final calculation
2.160/2.4x10^-4=9000
Answer: 9000kgm^-3
