Answer:
27.3 yards
Step-by-step explanation:
Since this triangle is a right triangle, this can be solved using the equation:
a^2 + b^2 = c^2
c^2 is the side opposite to the right angle (37)
So, you need to change the equation to where it is set equal to b^2.
Subtract a^2 on both sides.
b^2 = c^2 - a^2
Now, plug in the numbers you have.
b^2 = 37^2 - 25^2
Simplify.
b^2 = 1369 - 625
b^2 = 744
Now, to find b, take the square root of 744.
√744 = 27.3
Answer:
The population in 2015 will be 165 million.
Step-by-step explanation:
The exponential growth formula is given by:
Where:
a: is the initial population
r: is the rate of increase
Δt: is the time
With the initial information we can find the rate:
Using logarithm:
![ln(151) = ln(145) + 8[ln(1 + r)]](https://tex.z-dn.net/?f=%20ln%28151%29%20%3D%20ln%28145%29%20%2B%208%5Bln%281%20%2B%20r%29%5D%20)
Using exponential:
Now, we can find the estimated population in 2015:
Therefore, the population in 2015 will be 165 million.
I hope it helps you!
Answer:
<em>k=2/3</em>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form <em>y/x = k or y = kx</em>
In this problem we have <em>3y = 2x</em>
Isolate the variable y
Divide by 3 both sides
<em>y = 2/3x</em>
Remember that
In a proportional relationship the constant of proportionality k is equal to the slope m of the line
The slope of the line m is
<em>m = 2/3</em>
therefore
The constant of proportionality k is
<em>k = 2/3</em>
<em>I hope this helped have a wonderful day/night ! <3 </em><em>(depends what time it is)</em>
Answer:
7.5
Step-by-step explanation:
i hope this helps!!
X=6 case if they were both painting it in 20 minutes x=3
