Answer:
5/3
Explanation:
The given is:
70/42
We can start by dividing both the numerator and denominator by 7 as follows:
(70/7) / (42/7)
10 / 6
The result can be further simplified by dividing both the numerator and the denominator by 2 as follows:
(10/2) / (6/2)
This will give us:
5/3
The reached result cannot be further simplified.
Therefore:
70 pounds to 42 pounds is equivalent t 5 pounds to 3 pounds in the simplest form.
Hope this helps :)
Answer:
Vol of the cube =Vol of cubiod
Vol of each smaller cube =s×s×s= 4×4×4=64
Vol of cuboid /Vol of each smaller cube = no of cubes that can be obtained
6720/64= 105
Hence 105 cubes can be obtained
Answer:
3/10 ÷ 7/9 = 3/10 • 9/7
Step-by-step explanation:
KCF for division.
7/9= 9/7
÷=x
Answer:
Step-by-step explanation:
The center of the circle is the midpoint of the two end points of the diameter.
Formula
Center = (x2 + x1)/2 , (y2 + y1)/2
Givens
x2 = 4
x1 = - 10
y2 = 6
y1 = - 2
Solution
Center = (4 - 10)/2, (6 - 2)/2
Center = -6/2 , 4/2
Center = - 3 , 2
So far what you have is
(x+3)^2 + (y - 2)^2 = r^2
Now you have to find the radius.
You can use either of the endpoints to find the radius.
find the distance from (4,6) to (-3,2)
r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )
x2 = 4
x1 = -3
y2 = 6
y1 = 2
r^2 = ( (4 - -3)^2 + (6 - 2)^2 )
r^2 = ( (7)^2 + 4^2)
r^2 = ( 49 + 16)
r^2 = 65
Ultimate formula is
(x+3)^2 + (y - 2)^2 = 65
The radius is √65 = 8.06
Answer:
Step-by-step explanation:
<u>Quadratic Equation Solving</u>
We have the equation:
Divide by 8:
Now complete the squares so the left side is a perfect square of a binomial:
Factoring the perfect square:
Taking the square root:
The square root of a negative number is an imaginary number:
Solving for x:
The solutions are:
