Answer:
The expression that belongs in the box is 8 x 4
Option C is correct answer.
Step-by-step explanation:
We need to find Which expression belongs in the box?

The property applied here is associative property of multiplication.
Associative property of multiplication states that:

So, if we apply the property to our question we have:
a = 3
b = 8
c = 4
So, the expression will become: 
So, the expression that belongs in the box is 8 x 4
Option C is correct answer.
Answer:
<h3>cosθ = c/√1+c²</h3>
Step-by-step explanation:
Given cot θ = c and 0 < θ < π/2
In trigonometry identity:
cotθ = 1/tanθ = c
1/tanθ = c
cross multiply
tanθ = 1/c
According to SOH, CAH, TOA:
Tanθ = opposite/adjacent = 1/c
cosθ = adjacent/hypotenuse
To get the hypotenuse, we will use the pythagoras theorem:
hyp² = opp²+adj²
hyp² = 1²+c²
hyp = √1+c²
Find cosθ in terms of c
cosθ = c/√1+c²
Hence the formula for cos θ in terms of c is cosθ = c/√1+c²
Answer:
- a. More than 20
- b. Less than 10
- b. Less than 0.2
Step-by-step explanation:
- 212.5
- 9.7
- 0.1608
Hope it helped you
Part A-For marigold plants X, a geometric sequence has a general form of:
X = Xo * (1 + r)^n
where r = -15% = -0.15 (negative since it is decreasing)
Xo = the initial amount of marigold plants = 150
X = 150 * (1 – 0.15)^n
X = 150 (0.85)^n
Answer:
Step-by-step explanation:
$3/(2 batteries) = $1.50/battery
$15/(12 batteries) = $1.25/battery
Not proportional.