Answer: The highest score is 66
Step-by-step explanation: First we need to set the problem up.
x - 39 = 27
Next solve the problem.
Get x by itself by getting rid of the negative 39
x - 39 + 39 = 27 + 39
Add/Subtract
x = 66
You don’t need to simplify anymore so leave the problem alone since you already have the answer.
Hope it helped you guys!
1. 20 squared + 48 squared = 2704
square root of 2704 is 52. Answer: 52 inches.
2. -18 squared + 82 squared = 6400
square root of 6400 is 80 Answer: 80 inches
Answer:
x < 20/3
(negative infinity, 20/3)
Answer :
x = -1.43
Explanation :
As given ,
The first box has a height (x+5) has a square base with side x
So, the Length and Breadth of the box are x and x respectively.
Now,
The volume of first box = Length×Breadth×Height
= (x).(x).(x+5)
= x²(x+5)
⇒The volume of first box = x²(x+5)
Now,
Given that , the second box with height (x+2) has a square base with side (x+5).
So, the Length and Breadth of the box are (x+5) and (x+5) respectively.
Now,
The volume of second box = Length×Breadth×Height
= (x+5). (x+5).(x+2)
= (x+5)²(x+2)
⇒The volume of second box = (x+5)²(x+2)
Now,
Given that, the two boxes have the same volume
⇒x²(x+5) = (x+5)²(x+2)
⇒x² = (x+5)(x+2)
⇒x² = x² + 2x + 5x + 10
⇒x² - x² = 7x + 10
⇒0 = 7x + 10
⇒ 7x = -10
⇒ x = - = -1.43
⇒ x = -1.43
As volume of first box = x²(x+5) = (-1.43)²(-1.43+5) = 7.30 ≈ 7
As volume of second box = (x+5)²(x+2) = (-1.43+5)²(-1.43+2) = 7.26 ≈ 7
At x = -1.43, Volume of both the boxes are same.
Answer:
The area is 83.905 cm^3
Step-by-step explanation:
The total ratio is 9 + 7 + 6 = 22
So the length of the sides are as follows;
9/22 * 44 = 18 cm
7/22 * 44 = 14 cm
6/22 * 44 = 12cm
we can use Heron’s formula to find the area of the triangle
we find a first
s = (a + b + c)/2 = (18+14+12)/2 = 44/2 = 22
Mathematically, the Heron’s formula is as follows;
A = √s(s-a)(s-b)(s-c)
where a, b and c are 18,14 and 12 respectively
Plugging the values, we have;
A = √22(22-18)(22-14)(22-12)
A = √(22 * 4 * 8 * 10)
A = √(7,040)
A = 83.905 cm^3