A. 1 4/5 + 3 1/8 + 1/2 = 217/40 = 5 17/40 total consumed
B. 6 - 5 17/40 = 23/40 subtract total consumed from original 6
Answer:
The sum is 32766.
Step-by-step explanation:
The 7 terms of the series are as follows:
namely: 6, 24, 96, 384, 1536, 6144, 24576
and their sum is 32766.
Answer:
x=3
Step-by-step explanation:
That's a straight up and down line that splits the triangle in half
Answer:
/ Solve equation [2] for the variable y
[2] 7y = 12x + 17
[2] y = 12x/7 + 17/7
// Plug this in for variable y in equation [1]
[1] 9x - 2•(12x/7+17/7) = -3
[1] 39x/7 = 13/7
[1] 39x = 13
// Solve equation [1] for the variable x
[1] 39x = 13
[1] x = 1/3
// By now we know this much :
x = 1/3
y = 12x/7+17/7
// Use the x value to solve for y
y = (12/7)(1/3)+17/7 = 3
Solution :
{x,y} = {1/3,3}
Step-by-step explanation:
Answer: 17.9
Step-by-step explanation:
Using Heron's formula:
Area of a triangle is given by:
√s(s-a)(s-b)(s-c)
Where a, b and c ara sides of the triangle and
S = (a+b+c) / 2
In the question above sides are :
XY=XZ= 20 and YZ=18
S = (20 + 20 + 18) / 2 = 58/2 = 29
Area = √29(29-20)(29-20)(29-18)
Area = √29(9)(9)(11)
Area = √25839
Area = 160.74513
Altitude = height(h)
Area = 0.5 × base × height
Base = yz = 18
160.74513 = 0.5 × 18 × h
160.74513 = 9 × h
h = 160.74513 / 9
h = 17.9 (3 s.f)