Answer:
2,856,271
Step-by-step explanation:
We presume your equation is intended to be ...
P = 1,030,000(1.12)^t
To find the prediction in 9 years, put 9 where t is and do the arithmetic.
P = 1030000(1.12^9) ≈ 2,856,271
In 9 years, the population is predicted to be about 2,856,271.
Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
<span>let the angles be x and y.
as they are compliment
x+y=90
also given
x=7y
substituting value of x in first equation
7y+y=90
8y=90
therefore
y=11.25
x=7*y=78.75</span>
Answer:
Step-by-step explanation:
The 2 lines are y=2x+12 (slope of 2 y-intercept at 12) and y=26 (line at y=26).
intersection= (7,26)
First point given: (5,4)
Y = -1/4x + b
4 = -1/4(5) + b
4 = -5/4 + b
b = 2.75
Equation: y = -1/4x + 2.75
Find three points
(5,4), (9,5), (1,3)
Plot these and draw a line
