Answer:
The circumference is 56.52 m
Step-by-step explanation:
Eugene likely made the mistake of doubling the diameter thinking that it was the radius which gave the answer double the actual one. The equation for finding a circumference is C=
D where d is equal to the diameter and c is the circumference. All you do is multiply 18 and 3.14 to get your answer.
Set y equal to 25 because this is the amount of money Aisha wants to save. This gives you 25 = 50-1.99x. Now we can solve for x, which is the variable. First, subtract 50 from both sides so that you can get the variable, x, by itself. After subtracting 50 from both sides, you are left with -25 = -1.99x . If it is easier for you, you can put the numbers on opposite sides so it reads -1.99x = -25 . Now divide both sides by -1.99 so that x is by itself. So -1.99x ÷-1.99 = 1x which is equal to just x and -25÷-1.99 = about 12.56, which is a decimal. (Remember that when you divide a negative number by a negative number, it becomes a positive number) Finally we have x = 12.56 (or 1x = 12.56) with 12.56 being equal to the number of songs Aisha can buy if she also wants to save money in her bank account. However, nobody can buy only .56 or part of a song. Round down to the nearest whole number, which is 12. This is how many songs she can buy and it makes sense because it is 12 entire songs, not 12 and just the chorus of a song. If you want to check, you can plug in 12 for x and she shouod have a little more than $25 in her bank account. So Aisha can buy 12 songs is she wants to save $25. I hope this helped :)
Answer:
.
Step-by-step explanation:
Dilate a point 
by a scale factor of 
with 
as the center, and the resultant point would be at 
.
In this question:
Point to dilate: 
.
Scale factor: 
.
Center of dilation: 
.
The resultant point would be:
, which simplifies to .
Answer:
10
Step-by-step explanation:
Since m||n the sum of given angles is equal to 180 (they are supplementary)
6x + 10 + 10x + 10 = 180 add like terms
16x + 20 = 180 subtract 20 from from both sides
16x = 160 divide both sides by 16
x = 10
What we have so far:
Kinetic energy = 0. The reason behind that is because the beam is not moving at a height of 40m.
Gavity, g = 9.8m/s²
Height = 40m
Potential energy = mgh; this is equal to 0 because m, stands for mass and in this problem, we do not have a value for the mass of the beam. Hence, 0 x 9.8m/s² x 40m = 0. Potential energy = 0.
Solution:
We will use the equation of Total energy:
TE = potential energy + kinetic energy
TE = 0 + 0
∴ TE = 0
The answer is: Assuming no air resistance, the total energy of the beam as it hits the ground is 0.
