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:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
1.) X=2, 2/2=1, Y=1
2.) X=6, 6/2=3, Y=3
3.) X=10, 10/2=5, Y=5
I hope this helps! :)
