Answer:
6.3
Step-by-step explanation:
1. 25 - 2n = n + 6
2. 25 = 3n + 6
3. 3n = 19
4. n = 6.3
Answer:
8450 = P
Step-by-step explanation:
I = Prt
Where I is the interest , p is the principle, r is the rate and t is the time in years
2078.70 = P *8.2% * 3
Changing to decimal form
2078.70 = P *.082 * 3
2078.70 = P *.246
Divide each side by .246
2078.70/.246 = P *.246/.246
8450 = P
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
_____
The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
Answer:
9.33
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
Find the height of the trapezoids
20 - 10 = 10
10/2 = 5
Find the area of the trapezoids
5*(20+10)/2 = 75
The formula for the area of the trapezoid is the height * the bases added together divided by 2
75*2(this is because there are 2 trapezoids) = 150
Put this to proportion of the total area of the dart board
150/
= 150/400 = 3/8
3/8 is the probability that you score 3 points