Answer:
short story has 32 pgs
novel has 416 pgs
Step-by-step explanation:
a novel (N) has 13 times as many pages as a short story (x) so, N = 13X
total pages is the equation N + x = 448
plug the equation for N into this
13x + x = 448, combine like terms
14x = 448, divide both sides by 14
x = 32. so now we know that the short story has 32 pages. subtract that from 448. and the novel has 416 pages.
For the first digit you are choosing from 2 digits
for the second digit you are choosing from 2 digits
for the third digit you are choosing from 2 digits
2*2*2=8
111
110
011
101
000
001
100
010
However......
A number doesn't usually start with a 0 or 0s.
Therefore, if you want 3-digit numbers and not just permutations using 0 and 1, then you must eliminate
011, 000, 001, and 010
Seeing that the first digit can't be 0, you choose from 1, then 2, and then 2 digits again; 1*2*2=4 numbers
You choose which answer best suits your problem.
Answer:
Step-by-step explanation:
Given
Points: (1, 9) and (9, 3)
Ratio = 2/3
Required
Determine the coordinate of the center
Represent the ratio as ratio
The new coordinate can be calculated using
Where
Substitute these values in the equation above
Hence;
<em>The coordinates of the new center is </em><em></em>
Answer:
Step-by-step explanation:
y - 6 = 3(x + 5)
y - 6 = 3x + 15
y = 3x + 21
Answer:
Step-by-step explanation:
The tangent to the angle makes an angle of 90° with the radius.
The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.
By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore
x = 60-30 = 30°.
