Answer:
A. Yes
Step-by-step explanation:
the 8cm will be the hypotenuse and the 4cm and 3cm will join to create a right triangle.
Answer:
About 40 students are left handed
Step-by-step explanation:
Answer:
Answer below
Step-by-step explanation:
Point D: (-6,-1)
Point C: (-3,0)
Point B: (-3,6)
Point A: (0,0)
Slope = (-2 - 10)/(12 + 6) = -12/18 = -2/3
y = mx + b
10 = -2/3(-6) + b
10 = 4 + b
b =6
equation
y = -2/3x + 6
<span>x-intercept when y = 0
</span>-2/3x + 6 = 0
-2/3x = -6
x = 6 (3/2)
x = 9
answer is <span>d.9</span>
Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
