It is important to understand the meaning of orthocenter in respect to a triangle first. Ii is actually the intersection of all the altitudes within a triangle. The altitudes can be drawn from an angle to the opposite side but the line should create a right angle with the side of the triangle. In case of obtuse triangle, the three lines would meet outside the triangle. I hope the answer helps.
Answer:
The annual growth rate between 1985 and 2005 is 0.95%
The value of the house in the year 2010 is $152,018
Step-by-step explanation:
Let the annual growth rate = r
Value of the house in year 1985 = $120,000
Value of the house in year 2005 = $145,000
Time (t) = 2005 - 1985
= 20 years
A = P (1 + r)^t
145000 = 120000 (1 + r) ^20
(1 +r)^20 = 145000 / 120000
(1 +r)^20= 1.2083
(1 +r)^20= (1.2083)^1/20
(1 +r)^20= 1.0095
r = 1.0095 - 1
r = 0.0095
r% = 0.0095 x 100
= 0.95%
Value of the house in year 2010
=145000(1 + r)^5
=145000 (1 + 0.0095)^5
= 145000 x 1.0484
=$152,018
3x +3(x-10) = 360
3x +3x-30 =360
6x-30 =360
6x=390
X = 390/6 = 65
65-10 =55
<span> One car was driving
65 mph</span>
<span> The other was 55
mph</span>
First it would be 135/1000. Then you'd have to simplify.
Simplified, it would be 27/200.
Answer:
x = 4
Step-by-step explanation:
I don't know what you mean by sketch pad but here is the working out
4x + 4 = 20
-4 -4
4x = 16
÷4 ÷4
x = 4
Hope this helps :)
