Answer:
Step-by-step explanation:
As for the angles of both triangles; they’re the same. The sides are 1:2.
I’m giving you formulas that are labeled: side a shortest
” b mid length
” c hypotenuse
angle α(alpha) opposite side a
” β(beta) ” ” b
” γ(gamma) ” ” c
A major formula for rt triangles is: a^2+b^2=c^2.
*Another is: a/sinα=b/sinβ=c/sinγ.
Remember α+β+γ=180°.
As for sides a&b use the above formula.
As for <ACB; the angle is γ which is a rt <.
Given: tan<x=5/2+1/2=6/2=3atan=71.565……….°=β. So α=18.44…….°. γ= rt angle.
To get the sides use the formulas at *.
Answer:
you owe $49,695 in total and $17,695 in interest alone
Answer:
(a) 62.5 N
(b) 694.4 N/m
(c) 41.7 N
Step-by-step explanation:
Work done in stretching a spring is
since 
F is the applied force, E is the elongation and k is the spring constant.
(a) Here, e = 16 cm = 0.16 m


(b) Here, e = 12 cm = 0.12 m


(c) The restoring force is the same as the applied force.

Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:

And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed
Is it adding or subtracting