Formula:
V = 1/3 * b^2 * h
Plug in what we know:
V = 1/3 * 7^2 * 16
Simplify the exponent:
V = 1/3 * 49 * 16
Multiply all 3 numbers together:
V = 261.3cm^3
well, Matti's house is a triangular prism, and to get the volume of it, we simply get the area of the triangle upfront and multiply by its length of 15.
Answer:
b) 24
Step-by-step explanation:
We solve building the Venn's diagram of these sets.
We have that n(S) is the number of succesful students in a classroom.
n(F) is the number of freshmen student in that classroom.
We have that:
In which n(s) are those who are succeful but not freshmen and 
are those who are succesful and freshmen.
By the same logic, we also have that:
The union is:
In which
So
So the correct answer is:
b) 24
ANSWER:
d. x = 15, y= 15√3
EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have
We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15
We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.
x = 15
y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications
