Answer:
Step-by-step explanation:
x+15+x+115+90=380 degree(sum of interior angles of four angles is 360 degree)
2x+220=360
2x=360-220
x=140/2
x=70 degree
45/100 = 9/20
Work: divide by 5
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = 
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
Answer:
The volume of a sphere is 2/3 times the volume of a similar cylinder
Scale factor : 2/3
Step-by-step explanation:
Let us consider a sphere of radius r. The volume of the sphere will be given as

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

but h = 2r
Hence we have

We can divide the two volumes to get a constant that links them together

this will give us 2/3
Hence the scale factor for Vol sphere: Vol cylinder is 2/3