Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Answer: she must complete 4 levels to have a point fewer than 20
Step-by-step explanation:
Given the following :
Starting point = 100 points
Passing a level = - 8 points
Catching a flower = - 3 points
Suppose Tina catches 6 flowers per level
Number of levels she must complete to have fewer Than 20 points
Total number of points lost per level:
Catching 6 flowers = -(6 × 3)
Passing the level = - 8
= - 18 + - 8 = - 26 points
Number of levels she must complete to have < 20
Let number of levels = y
Starting points - (26 × number of levels) < 20
100 - (26y) < 20
100 - 26y < 20
-26y < 20 - 100
-26y < - 80
y > 80/26
y > 3.07
Hence she must complete 4 levels to have a point fewer than 20
Answer:
(k-h)(x) = 4x - 8
Step-by-step explanation:
We know Profit = Revenue - Cost
Basically we gotta subtract cost function from revenue function and get the profit function.
The cost function is h(x) = 5x + 6
The revenue function is k(x) = 9x - 2
Hence, Profit is:
(k-h)(x) = (9x - 2) - (5x + 6)
(k-h)(x) = 9x -2 - 5x - 6
(k-h)(x) = 4x - 8
Answer:
The of depression between the cliff and the boat is 48.74 degrees.
Step-by-step explanation:
We have,
Height of the cliff is 200 foot
Distance of boat from the cliff is 175 feet
It is required to find the angle of depression between the cliff and the boat.
Here, 200 foot is perpendicular distance and 175 is base.
Using trigonometry :
So, the of depression between the cliff and the boat is 48.74 degrees.
Step-by-step explanation:
Difference per month = 28
=> January = February - 28 = 66-28 = 38
