Answer:
3 : 5
Step-by-step explanation:
Since there are 3 boys, the number of girls is 5.
Causing the ratio to be 3 : 5
They equal to 180 because they are supplementary angles
Answer:
One solution
Step-by-step explanation:
Let's rewrite y = 6 - 3x as y = -3x + 6
Looking at these two equations, we can see they share a y-intercept
Making our solution 6
We know there is only one solution because the equations are not the exact same, if they were we'd have infinitely many solutions
We also know there aren't no solutions because the lines are not parallel (same slopes with difference y-intercepts)
Best of luck
Answer:
Step-by-step explanation:
So, to begin the altitude of a triangle is the line segment that starts at the top vertex and ends at the base of the triangle forming a right angle. If we want to find the volume of the of the prism the formula is Ab*h. This is the area of the base, times the height of the prism. This is true because a simple expination of volume is a box filled with stuff. To count how much stuff we have in the box the formula uses layers. Volume is just like a lot of 2 dimential areas stacked on top of each other. So taking the area of the flat base and puting it on top of it self 10 time will give you the same prism thats in the problem. Now we just have to apply the consept. Since the base is a triangle and we need to find the area. The formula is b*h*1/2. Base time height times 1/2. The reason for this is also simlar to area. A triangle is half of a square, so to find the area of a square the formula is L*W. Since a triangle is half of a square you just multipuly it by 1/2. When solved you will get 4*3.5*1/2=7, the area of the base is 7 cm^2. Now appling the topic above we stack the base 10 times, so 7*10=70. In conculstion the volume of the prism would be 70 cm^2.
