Answer: 37.05m^2
Step-by-step explanation:
Area of shaded region = Area of rectangle - non shaded region (the middle shapes)
Rectangle = 13.7 x 14.4 = 197.28m^2
Left half circle: 3.14 x 6.3^2 = 124.6266m^2
Right half circle: 3.14 x 2.8^2 = 24.6176m^2
Square: 3.3^2 = 10.98 m^2
197.28 - ( 124.63 + 24.62 +10.98 ) = 37.05 m^2
Answer:
30,240 ways, if I am restricted to using A, B, and C for letters
Step-by-step explanation:
This uses Combinatorics from Discrete Math.
so.
3 letters and 4 digits.
26 letters from alphabet, but you want to choose first letters. no repeats...
Does this mean only letters A, B, and C ?
digits from 10 digits...
I imagine 7 empty slots , and the number of ways they occur together is by the product of the number of choices each box has.
3*2*1 * 10*9*8*7 = 6 * 5040 = 30,240 ways
Answer:
4
Step-by-step explanation:
The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...
Sn = a1·(r^n -1)/(r -1)
for r=5 and n=6, this becomes ...
15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)
Then we have ...
1 = a1/4 . . . . . divide by 15624
4 = a1 . . . . . . multiply by 4
The first term of the series is 4.
Infinity because it's a cubic function with no restricted range or domain
Answer:
y = 4x + 1
Step-by-step explanation:
y = mx + b
b = y-intercept
From the graph we see that b = 1
m = slope
Start at (0, 1). Go up 8 units. Rise = 8. Go right 2 units. Run = 2.
slope = rise/run = 8/2 = 4
y = 4x + 1
