Answer:
100 Joules
Step-by-step explanation:
We use the definition of Work as the force applied multiplied by the distance the object was moved. In our case the force exerted is 50 N, over a distance of 2 meters, therefore:
Work = F * d = 50 N * 2 m = 100 N*m = 100 Joules
The SI unit for Newton times meter is called "Joule".
Answer: 9
Step-by-step explanation:
An elf ate 15 of your muffins and that was 5/8 of all of them. To get the number of muffins left goes thus:
We can first calculate the total number of muffins the person had. Let the total number of muffins be y. That means the elf ate 5/8 of y.
5/8 of y = 15
5/8 × y = 15
0.625 × y = 15
0.625y = 15
Divide both side by 0.625
0.625y/0.625 = 15/0.625
y = 24
The total amount of muffins is 24. Since the elf has eaten 15, the amount left will be: 24-15 = 9

Solution:
Given data:
and 
To find F(x) + G(x):
Adding two functions which gives another function.
Substitute F(x) and G(x), we get





Hence, 
The tangent half angle formula, one of several, is

We have θ is opposite 4 in the 3/4/5 right triangle so



Answer: 1/2
This is actually pretty deep. It says half the big acute angle in the 3/4/5 triangle is the small diagonal angle of the 1x2 rectangle. Similarly, the small acute angle in 3/4/5 triangle is twice the small diagonal angle of the 1x3 rectangle.