Answer:
27
Step-by-step explanation:
2(6) + -5(-3)
= 12+15
= 27
If you measure the amount of water before and after putting the object in the body of water and finding the difference between the two measurements you can approximate the volume of the irregularly shaped solid
<u>Given</u>:
Given that ABCD is a rectangle.
The diagonals of the rectangle are AC and DB.
The length of AE is (6x -55)
The length of EC is (3x - 16)
We need to determine the length of the diagonal DB.
<u>Value of x:</u>
The value of x can be determined by equating AE and EC
Thus, we have;
![AE=EC](https://tex.z-dn.net/?f=AE%3DEC)
Substituting the values, we get;
![6x-55=3x-16](https://tex.z-dn.net/?f=6x-55%3D3x-16)
![3x-55=-16](https://tex.z-dn.net/?f=3x-55%3D-16)
![3x=39](https://tex.z-dn.net/?f=3x%3D39)
![x=13](https://tex.z-dn.net/?f=x%3D13)
Thus, the value of x is 13.
<u>Length of AC:</u>
Length of AE = ![6(13)-55=78-55=23](https://tex.z-dn.net/?f=6%2813%29-55%3D78-55%3D23)
Length of EC = ![3(13)-16=39-16=23](https://tex.z-dn.net/?f=3%2813%29-16%3D39-16%3D23)
Thus, the length of AC can be determined by adding the lengths of AE and EC.
Thus, we have;
![AC=AE+EC](https://tex.z-dn.net/?f=AC%3DAE%2BEC)
![AC=23+23](https://tex.z-dn.net/?f=AC%3D23%2B23)
![AC=46](https://tex.z-dn.net/?f=AC%3D46)
Thus, the length of AC is 46.
<u>Length of DB:</u>
Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.
Hence, we have;
![AC=DB](https://tex.z-dn.net/?f=AC%3DDB)
![46=DB](https://tex.z-dn.net/?f=46%3DDB)
Thus, the length of DB is 46.
Answer:
Simplifying
2(x + 10) + -17 = 5 + 2x + -2
Reorder the terms:
2(10 + x) + -17 = 5 + 2x + -2
(10 * 2 + x * 2) + -17 = 5 + 2x + -2
(20 + 2x) + -17 = 5 + 2x + -2
Reorder the terms:
20 + -17 + 2x = 5 + 2x + -2
Combine like terms: 20 + -17 = 3
3 + 2x = 5 + 2x + -2
Reorder the terms:
3 + 2x = 5 + -2 + 2x
Combine like terms: 5 + -2 = 3
3 + 2x = 3 + 2x
Add '-3' to each side of the equation.
3 + -3 + 2x = 3 + -3 + 2x
Combine like terms: 3 + -3 = 0
0 + 2x = 3 + -3 + 2x
2x = 3 + -3 + 2x
Combine like terms: 3 + -3 = 0
2x = 0 + 2x
2x = 2x
Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 0
Solving 0=0
Answer:
Step-by-step explanation:
length=sqare root of(12^2+12^2-2*12*12*cos(75))=14.6