Answer:
180 ft²
Step-by-step explanation:
In order to find the total area to paint, you need to find the surface area of the entire figure, which is the sum of the areas of all the sides. Since there are 5 faces to the prism, including the bottom, you will need to add the area of all five faces. The sides of the ramp are triangles with a base of 12 ft and height of 5ft. The area of a triangle is: A = 1/2bh. Since there are two triangles with the same dimensions:
12 x 5 = 60 ft²
Next, the top of the ramp is a rectangle with a length of 13 ft and width of 4 ft:
13 x 4 = 52 ft²
The bottom of the ramp is also a rectangle with length of 12 ft and width of 4 ft:
12 x 4 = 48 ft²
Lastly, the height of the ramp is 5 ft with a width of 4ft, also in the shape of a rectangle:
5 x 4 = 20 ft²
Add them all together:
20 + 48 + 52 + 60 = 180 ft²
X/3=x+2/5
5x = 3(x+2)
5x = 3x + 6
2x = 6
x = 3
answer
D.3
Option D is the correct answer
Further explanation:
Let
The perimeter of a rectangle is given by:
It is also given that:
So we can write as
We also know that The length of the rectangle is three times its width
Putting the value of l in the inequality
Rearranging the terms
Hence, option D is the correct answer.
Keywords: Inequalities, Perimeter
Learn more about inequalities at:
#LearnwithBrainly
Answer:
1. -1/28
2. -4
3.A) The attendance increased by an average of 25 people per game from game 2 to game 5.
4. -.125
Step-by-step explanation:
To find the rate of change, we use the formula
f(x2) - f(x1)
--------------
x2-x1
1.
f(x) = -(x) ^ 1/3
f(64) = -(64) ^ 1/3 = -4
f(8) =- (8)^1/3 = -2
f(64) - f(8) -4--2 -4+2 -2 -1
-------------- = --------- = ------------- = ----------- = ------
64 - 8 56 56 56 28
2.
f(2) = 9
f(-2) = 25
f(x2) - f(x1) f(2) - f(-2) 9-25 -16 -16
-------------- =----------- = ----------------- = ---------- = ----------- = -4
x2-x1 2--2 2+2 4 4
3.
f(5) = 755
f(2) = 680
f(x2) - f(x1) f(5) - f(2) 755-680 75
-------------- = ---------- = -------------- = ---------- = 25
x2-x1 5-2 3 3
A) The attendance increased by an average of 25 people per game from game 2 to game 5.
4.
f(-1) = -.25
f(1) = -.5
f(x2) - f(x1) f(1) - f(-1) -.5 --.25 -.5+.25 -.25
-------------- = ---------- = -------------- = ---------- = --------- = -.125
x2-x1 1--1 1+1 2 2
Answer:
dA/dt = k1(M-A) - k2(A)
Step-by-step explanation:
If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)
Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:
Rate Memorized = k1(M-A)
Where k1 is the constant of proportionality for the rate at which material is memorized.
At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:
Rate forgotten = k2(A)
Where k2 is the constant of proportionality for the rate at which material is forgotten.
Finally, the differential equation for the amount A(t) is equal to:
dA/dt = Rate Memorized - Rate Forgotten
dA/dt = k1(M-A) - k2(A)
