Answer:
B) 77.5 square feet
Step-by-step explanation:
cut shape into rectangle and triangle
area of rectangle = x*y
area of rectangle = 5*13
area of rectangle = 65
area of triangle = (z-x)*(y-w)/2
area of triangle = 5*3/2
area of triangle = 7.5
Total area = 65 + 7.5
Total area = 77.5, B)
Answer:
=
+ 6
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
- 11 - (- 17) = - 5 - (- 11) = 1 - (- 5) = 6
A recursive rule allows a term to be found by adding d to the previous term, thus
=
+ 6 with a₁ = - 17
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If

If 

So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change 
Substituting the values, we get
The percentage rate of change
.
As the values of y decrease with an increase in x, it is the percent decrease per unit.
Answer:
B
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Given
sin(3x + 19) = cos(5x - 25), then
3x + 19 = 90 - (5x - 25)
3x + 19 = 90 - 5x + 25
3x + 19 = 115 - 5x ( add 5x to both sides )
8x + 19 = 115 ( subtract 19 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12 → B
Answer:
<u>Light</u>
explanation:
All light are waves in the electromagnetic field, from gamma rays, though x-rays,
Answer 2:
I'd say the second most common example would be <u>molecules </u>as they all rely on electromagnetism to bind the atoms to each other.