Answer:
The answer is 8.34
U have to use the SOH CAH TOA method
In this case I used tan
so,
tan 50= BC/7
solve for BC= 7* tan 50= 8.34
Answer:
z = -12
Step-by-step explanation:
The given system of equations is:
xy/(x + y) = 1 ...........................(1)
xz/(x + z) = 2...........................(2)
yz/(y + z) = 3...........................(3)
From (1): x + y = xy
=> y = xy - x
y = x(y - 1)
x = y/(y - 1).......................................(4)
From (2): 2(x + z) = xz
=> 2x + 2z = xz
2x = xz - 2z
2x = z(x - 2)
z = 2x/(x - 2) ....................................(5)
From (3): 3(y + z) = yz
=> 3y + 3z = yz
3y = yz - 3z
3y = z(y - 3)
z = 3y/(y - 3)....................................(6)
Comparing (5) and (6)
2x/(x - 2) = 3y/(y - 3)
2x(y - 3) = 3y(x - 2)
2xy - 6x = 3xy - 6y
6(y - x) = xy .................................(7)
But from (1): xy = x + y
Using this in (7), we have
6(y - x) = x + y
6y - y - 6x - x = 0
5y - 7x = 0
5y = 7x
x = 5y/7................................................(8)
Using this in (4)
5y/7 = y/(y - 1)
1/(y - 1) = 5/7
(y - 1) = 7/5
y = 1 + 7/5
y = 12/5..........................................(9)
Using this in (8)
x = 5(12/5)/7 = 12/7 .......................(10)
Using (10) in (5)
z = 2x/(x - 2)
z = 2(12/7) ÷ (12/7 - 2)
= 24/7 ÷ -2/7
= 24/7 × (-7/2)
= -24/2 = -12
z = -12.
The correct question is
<span>A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many cubes does it take to fill the prism?
we know that
[volume of the cube]=b</span>³
b=1/4 unit
[volume of the cube]=(1/4)³------> 1/64 unit³
if 1 cube has a volume of ----------------> (1/64) unit³
x cubes--------------------------------> 2 unit³
x=2/(1/64)-----> x=2*64----> x=128 cubes
the answer is
128 cubes
I hope this helps you
-4x-2y+4x+8y= -12-24
6y= -36
y= -6
-4x-2. (-6)= -12
-4x+12= -12
-4x= -24
x=6
(6, -6)
