Answer:
x = 130 degrees
Step-by-step explanation:
angle OAC = angle OBC = 90 degrees (angle between tangent and radius = 90 degrees)
This is quadrilateral and we know that quads = 360 degrees
So...
x + 90 + 90 + 50 = 360
rearrange
x = 130 degrees
Answer:
It is an octagon if and only if it has eight sides.
Step-by-step explanation:
Answer:
$14,800 at 10.5%
$38,850 at 12%
Step-by-step explanation:
Investment at 10.5% (x):
(0.12[$53,650 - x])/0.105x = 3
$6,438 - 0.12x = 0.315x
0.435x = $6,438
x = $14,800
Investment at 12%:
= $53,650 - $14,800
= $38,850
Answer: Investments: @ 10.5%, $14,800; @ 12%, $38,850
Proof: (income from 1st is 1/3 that of the income from the 2nd):
= (0.105[$14,800])/(0.12[$38,850])
= $1,554/$4,662
= 1/3
Answer:
h ≈ 37 ft
Step-by-step explanation:
let x be the height of the tree from the viewers eye level
using the tangent ratio, then
tan24° =
=
( multiply both sides by 72 )
72 × tan24° = x
then
height of tree = x + 5 = 72tan24° + 5 ≈ 37 ft ( to the nearest foot )
Answer:
1. 2x^2+6x=0 <--> 2x(x+3)=0
2.4x-x^2=0 <--> x(4-x)=0
3.14x-7x^2=0 <--> 7x(2-x)=0
4.24x-6x^2=0 <--> 6x(4-x)=0
Step-by-step explanation:
just try to expand the answer given for example when you look at no.1, 2x•x=2x^2 so look for the equation where there is a 2x^2 in it.
for finding the solution, for example when you look at no.1 again, you have 2x=0 so x=0/2=0 and you also have x+3=0 so x=-3
this applies to all the pther no.