Answer:
AC = 7.12 units
Step-by-step explanation:
A right triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. As Angle C is the right angle, then the triangle can be constructed as shown in the picture attached. The sides of the triangle have a relationship known as the Pythagorean Theorem a² + b² = c². In the theorem, the legs of the triangle are a and b while the hypotenuse is c. Substitute a = x, b = x+6, and c = √52. Simplify and solve.
a² + b² = c²
x² + (x+6)² = √52²
x² + x² + 12x + 36 = 52
2x² + 12x - 16 = 0
You can use the quadratic formula to solve by substituting a = 2, b = 12, and c = -16.
The quadratic formula is 
.
Substitute and you'll have:
Only 1.12 is a solution since 7.13 will not satisfy the Pythagorean theorem
Side AC is 6 units longer than side BC. This means x = BC and AC = x + 6.
AC = 1.12 + 6 = 7.12
Answer:
ok yes
Step-by-step explanation:
10⁶= 1 million= 1,000,000
10⁷=10 million= 10,000,000
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Answer:
The population size after eight days is about 265
Step-by-step explanation:
This is an example of an exponential growth model. A quantity <em>y</em> that grows or decays at a rate proportional to its size fits in an equation of the form
where k is a positive constant. Its solutions have the form
,
where 
is the initial value of y.
The population size can be calculated by using the below formula:
where 
is the population on day zero.
Let t be the time in days,
We know from the information given that:
- k = 0.4964 per member per day and
- The day zero (t = 0) the population size is 5 (P(0) = 5)
To find the population size after eight days
Substitute P(0) = 5, k=0.4964 in
Then
Now we calculate P(t) when t = 8 days
Therefore the population size after eight days is about 265
