So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is 
.
But first, we have to find the height of this pyramid. The volume formula for a square pyramid is 
. Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:
So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:
In short, the slant height is 10.8 ft.
Answer: Eleventh Grade
Step-by-step
The ratio of tenth graders to the school's total population is 86:255 = 33.7%.
The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.
Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3)% = 31.0%.
When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.
divide total pages by pages per minute
33 / 3 = 11 minutes
Answer:
y = -3x
Step-by-step explanation:
Slope is -3
Answer:
c = -6
Step-by-step explanation:
Let us solve your equation step-by-step, which is this: c
/−3 + 5 = 7
The first step is to simplify both sides of the equation: −1
/3
c + 5 = 7
Then, subtract 5 from both sides: -1/3c + 5 - 5 = 7 - 5 ---> -1/3c = 2
Multiply both sides by -3/1 making it equal to: c = -6.
