Answer:
Volume of a cube= 1/8 cubic meter
We know that volume of a cube= side x side x side
= 
From here, we get side of cube=
meter
Hence, the side of a cube =
meter
We have to find a fraction, when it is multiplied by itself
x
= 
Here we get our answer 
Answer:

Step-by-step explanation:
Use Pythagoras theorem to find the hypotenuse:

In this question, take "b" as 90' and "a" as 60'






<em>I hope this helps.....</em>
Step-by-step explanation:
2A
x=1 y=3
x=4 y=0
y=mx+b
3=m+b
0=4m+b
3=-3m
m= -1
0=-4+b
b=4
y= -x +4
2B
x=2 y=0
x=0 y= -4
0=2m+b
-4=b
b=-4
0=2m-4
2m=4
m=2
y=2x-4
Answer:
10
Step-by-step explanation:
Standard form for a circle is
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius
--------------------------------
x² + y² - 18x + 24y = -200
Rearrange
(x² - 18x) + (y² + 24y) = -200
Complete the square for x
(x - 9)² + (y² + 24y) = -200 + (-9)²
Complete the sqaure for y
(x - 9)² + (y + 12)² = -200 + (-9)² + 12²
(x - 9)² + (y + 12)² = 25
Now the equation is in standard form
r² = 25
r = 5
Therefor Diameter = 10
Answer:
105 sweets
Step-by-step explanation:
There are 4 + 1 + 2 = 7 parts in total
Stephen gets 4 parts (or 4x)
Jim gets gets 2 parts (or 2x)
Given,
Stephen gets 30 more than Jim, we can write:
Stephen = Jim + 30
or
4x = 2x + 30
We can solve for "x":

There are 7 parts of sweets altogether (or 7x), we know x so:
There are:
7 * 15 = <u>105 sweets</u> altogether