Answer:
<h2><em>
85.9° </em></h2>
Step-by-step explanation:
Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;
Length of an arc = θ/360 * 2Πr where r is the radius of the circle.
Given r = 10m and length of the arc = 15m
On substituting;
15 = θ/360 * 2π(10)
15 = θ/360 * 20π
θ/360 = 15/20π
θ/360 = 0.2387
θ = 360* 0.2387
θ = 85.9°
<em>Hence Maple street is at 85.9° to Elm street.</em>
<em></em>
Answer:
£21552.
Step-by-step explanation:
Given information:
Principal amount = £18790
Rate of simple interest =4.9% = 0.049 per year
Time = 3 years
Formula for simple interest:
where, P is principal, r is rate of interest and t is time in years.
Total amount after 3 year is
Therefore, Dan have £21552 after 3 years.
12/3 cup chopped nuts
which simplified is 4 cups
Since V = (4/3) * pi * R^3
If R is halved, V' will reduce by a ratio of (1/2)^3 = 1/8
So V' = (1/8)V
Answer:
Step-by-step explanation:
f(x)= (x - 3)(x - 5)
f(x) = x^2 - 5x - 3x + 15
f(x) = x^2 - 8x + 15
Answer is A