Answer:
Step-by-step explanation:
As these triangles are similar, every side and angle corresponds and this is key to calculating this equation.
First, look at the side that is labeled 
and find the corresponding side on the other triangle. Write this out as a fraction as shown below. Now find two corresponding sides that are both marked (the base lines) and write them out as a fraction as well (note that which ever triangle you are solving for, it's numbers will go on the top of the fraction)
We want to get the 
by its self and at the moment it is divided by 36. To remove the 36, we need to multiply both sides of the equation by 36
36 x x 36
This cancels out both the 36s on the left leaving us with
x 36
all that needs to happen now is to remove the +8 so we are just left with . to do this, just subtract 8 from both sides and we are left with
x 36 - 8
calculate 38 ÷ 60 x 36 - 8 = 14.8
∴
I hope this was helpful and not too long :-)
Answer:6
Step-by-step explanation:
Answer:
Approximately 3.4 years more or less
Step-by-step explanation:
If we represent this exponential growth as P=185(1.16)^n where n is the number of years passed and P is the population, then:
P=185(1.16)^n
305=185(1.16)^n
1.65=1.16^n
log₁.₁₆(1.65)=log₁.₁₆(1.16^n)
3.37=n
So the deer population will reach 305 in approximately 3.4 years.
In this item, we are asked to determine or calculate for the distance between the points A (1,4) and B(-3,-2)
The distance between the two points can be computed through the equation below.
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)³)
We can choice whichever of the two points will have the first abscissa or the first ordinate. For the purpose of showing the solution here, it is assumed that A has the coordinates of (x₁,y₁) and B (x₂,y₂)
Substituting,
d = sqrt ((-3 - 1)² + (-2 -4)²)
d = 2√13
<em>ANSWER: 2√13 , ~7.21</em>
