Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
It's not the volume of the ramp, it's the angle.
anyways here's how to use trig to find the answer:
Tan <A= opposite/ adjacent
Tan <A= 5.0/ 37.4
<A= tan-1 (5.0/ 37.4)
<A= 7.61 degrees.
Answer:
2.4*10^4
Step-by-step explanation:
write in scientific notation
first i would simplify the 3.6/1.5
=2.4
then you get (2.4*10^7)/10^3
formula: (m^x)/(m^y)= m^(x-y)
(2.4*10^7)/10^3
=2.4*10^(7-3)/1
=2.4*10^4
Answer:
Step-by-step explanation:
a ) The worth of Jean-Claude's gnome after 1 year
= 80000 x 1.02
= £81600
b ) common ratio of geometric progression
= 81600 / 80000
= 1.02
c ) worth after 10 years
= 80000 x 1.02¹⁰
= 80000 x 1.21899
= £97519.55
d )
120000 = 80000 x 
1.5 =
ln1.5 = k ln 1.02
k = ln 1.5 / ln 1.02
= .4054 / .0198
= 20.47 years .
Answer:
ummmmmm you have to show the graph ...
