Answer:
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Step-by-step explanation:
The problem uses the perimeter formula. P = 2w + 2l where w is the width, and l is the length.
We know the length (l) is 3 inches longer than it's width (or l = w+3). Substitute w +3 into Perimeter equation
P = 2w + 2(w+3). That simplifies to P = 4w + 6.
Since P + 42, we have 42 = 4w +6. With some simple algebra we find that w = 9 and l = 12.
Hope this helps!
Answer:
y - 0.5x
Step-by-step explanation:
Given that the dog eats the same amount of food each day and on day 3, the available quantity of food
= 12 pounds
On day 7 (4 days after), the available quantity of food is 10 pounds. The difference in the amount of food in 4 days
= 12 - 10
= 2 pounds
This means that each day, the amount of food eaten by the dog in one day
= 2/4
= 0.5 pound
Hence the amount of dog food in the bag y for any day after opening the dog food x will be given as
= y - 0.5x
Answer:
25 - 3x^5
Step-by-step explanation:
-2x^4+16+2x^4+9-3x^5
Combine like terms
-2x^4+2x^4+9+16-3x^5
0 + 25 -3x^5
Answer: 615.44 m^3.
Step-by-step explanation: To find the volume of a cone, you need to multiply the radius, pi, and height. The equation is given below:
π x r^2 x h = V, where π is pi, r is the radius squared, h is the height, and V is the volume.
Now, we need to substitute the values with the information that is given. π ≈ 3.14:
3.14 x 7^2 x 12 ≈ 1846.32.
We are not finished yet! A cone's volume is a third of a cylinder's, so you need to split 1846.32 in 1/3:
1/3 x 1846.32 ≈ 615.44 m^3.
Hope this helps! :)
