Answer:
11,36 pounds
Step-by-step explanation:
Trayvon's weight on earth= 142 pounds
Trayvon's weight on Saturn= (0,92)*Trayvon's weight on earth=
(0,92)*142=130,64 pounds
The difference between Trayvon's weight on earth and Saturn:
Trayvon's weight on earth- Trayvon's weight on Saturn
142-130,64=11,36 pounds.
Answer:
For this system of equations there is infinitely many solutions.
Step-by-step explanation:
Given the equations: -4x + 4y = 32 and 3x + 24 = 3y, we need to first get them both in standard form (Ax + By = C) in order to complete the method of elimination to solve. The first equatoin is already in standard form, however, in order to convert the second equation, we will need to use inverse operations to move the '3x' to the other side of the equation by subtraction of this term from both sides: 3x - 3x + 24 = 3y - 3x or 24 = -3x + 3y. Rearranging the equation gives us: -3x + 3y = 24. In order to use elimination to solve, we must first multiply the first equation be a factor of 3 and the second equation by a factor of -4 in order to have opposite coefficients:
3[ -4x + 4y = 32] = -12x + 12y = 96
-4{-3x + 3y = 24] = 12x - 12y = -96
You can see that if we add these too equations together, we get 0 = 0, which indicates that they are both the same line, making our answer infinitely many solutions.
We will first find the volume of the base:
V 1 = 9² · 5 = 81 · 5 = 405 in³
Then the volume of the upper solid - pyramid. We must find the height of the pyramid:
h² = 11² - 4.5² = 121 - 20.25 = 100.75
h = √100.75
h = 10.037429
V 2 = 1/3 · 9² · 10.037429 = 271.01
Finally, the volume of the composite solid:
V = V 1 + V 2 = 405 + 271.01 = 676.01
Answer: C. 676.01 in³
Answer:
Step-by-step explanation:
You can think of this as adding the area of the rectangular portion of the deck (length x width) and the semicircular portion (πr^2)/2.
(l×w)+(πr^2)/2
(10×7)+((π2^2)/2
79+2π
