Answer:
The value of x is 1.2
Step-by-step explanation:
Given;
6 x=6+x
Move x to the opposite side of the equation as follows;
6 x-x=6
Collect the like times, 6 x and x
6x-x=6
Subtract x from 6 x and solve
6x-x=5x
The equation remains;
5x=6
Divide both sides of the equation by 5 to solve for x;
(5x)/5=6/5
x=1.2
The value of x is 1.2
<h3>
Answer: 32</h3>
Explanation:
This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is
long = short*sqrt(3)
We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse
hypotenuse = short*2
Answer: VT equals 62
Step-by-step explanation: In the square with sides STUV, the point W is a midpoint on the diagonal of the square such that the diagonal line SU is divided into two equal halves by the lines SW and WU. Also note that a square has two diagonals whose measurements are equal, that is, line SU equals line VT.
If the point W is the midpoint of SU, then we can conclude that SW equals WU. This means;
2x + 13 = 8x - 41
Collect like terms and you now have,
13 + 41 = 8x - 2x
54 = 6x
Divide both sides of the equation by 6
9 = x
Having calculated the value of x, remember that SW plus WU equals SU. And diagonal SU equals diagonal VT.
Therefore, VT is calculated as follows;
VT = SW + WU
VT = 2x + 13 + 8x - 41
VT = 2(9) + 13 + 8(9) - 41
VT = 18 + 13 + 72 - 41
VT = 62
Answer:
452.448cm^3
Step-by-step explanation:
Given data
Height= 25cm
Diamter= 12cm
Radius= 6cm
The expression for the volume of a cone is given as
V= 1/3*πr^2h
Substitute
V= 1/3*3.142*6^2*25
V= 1/3*3.142*36*12
V= 1/3*1357.344
V=452.448cm^3
Hence the volume is 452.448cm^3
Answer:
268.08 inches3
Step-by-step explanation: