Answer:
y = 16.
Step-by-step explanation:
The ratio of corresponding sides of similar triangles are the same.
The small and large triangles are similar ( - that is corresponding angles are congruent).
So 2/(2+8) = x / 20
2/10 = x/20
10x = 40
x = 4.
Therefore y = 20 -4 = 16.
Answer:
268.0 in²
Step-by-step explanation:
refer to attached graphic as reference
volume of cone, V = (1/3) πr²h
in our case, we are given r = 4" and h = 16"
substituting this into equation:
V = (1/3) πr²h
= (1/3) ·(3.14) · (4)²· (16)
= 267.94667 in²
= 268.0 in² (nearest tenth)
It is called Ecological Succesion hope that helped:)
Answer: the box contained 9 square chocolates and 15 round chocolates.
Step-by-step explanation:
Let x represent the number of square chocolates contained in the box.
Let y represent the number of round chocolates contained in the box.
The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that
10x + 8y = 210- - - - - - - - - - -1
The number of round chocolates is 3 less than twice the number of square chocolates. It means that
y = 2x - 3
Substituting y = 2x - 3 into equation 1, it becomes
10x + 8(2x - 3) = 210
10x + 16x - 24 = 210
26x = 210 + 24
26x = 234
x = 234/26
x = 9
y = 2x - 3 = 2 × 9 - 3
y = 18 - 3
y = 15
Hello,
2k²-3k-9=0
==>k=3 or k=-3/2
Answer C two rational solutions.
