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.
Answer:
You need to know your math!
Step-by-step explanation:
If your gonna start a business you have to know your math, sure you can hire people but people work for cash, so when you start out on your own with your business you need to know your math so you can keep the business running. Hope this helps! :)
4 9/10 is your answer because you first have to divide the numerator by the denominator. this will give you 4, with a remainder of 9. The mix number can be created by using the 4 as the whole number, the 9 as the numerator and the 10 as a denominator. So, 49/10 = 4 9/10. Hope this works!
If 6 of the 13 books are new, then 7 of them are used. The ratio of new (6) to used (7) is
6:7 or 6/7
Ratio of all books (13) to used books (7) is
13:7 or 13/7
