Answer:
Step-by-step explanation:
Problem One
Blue = 5
Black =2
Red = 3
First of all there are 10 marbles, 2 of which are black.
That means that 8 others are not black
You can draw any one of the 8.
P(not black) = 8/10 = 4/5
Problem Two
There are 10 marbles in all
3 of them are red.
P(Red) = 3/10
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer:
300 cubic meters
Step-by-step explanation:
Volume of a Rectangular pyramid:
V = (lwh)/3
Given:
l = 10
w = 10
h = 9
Work:
V = (lwh)/3
V = (10 * 10 * 9)/3
V = 900/3
V = 300
Answer:
25.5
Step-by-step explanation:
because you have to do 25×1.50 -12
