Given that the triangle CDE is similar to triangle CML, it means that the ratio of their corresponding sides are equal. It means that
CD/CM = DE/ML = CE/CL
CD = 20 + 12x + 2 = 12x + 22
CE = 30 + 12 = 42
20/12x + 22 = 12/42
By cross multipying, it becomes
12(12x + 22) = 20 * 42
144x + 264 = 840
144x = 840 - 264 = 576
x = 576/144
x = 4
Given:
radius = 30 inches
Circumference of a circle = 2 * π * r
C = 2 * 3.14 * 30 inches
C = 188.40 inches
Answer is Choice B. 188.4 inches.
The <span>metric unit of weight.</span>
Answer:
Step-by-step explanation:
Given: Number of cards a box contains = 10 (numbered 1 through 10).
A random card is picked at first instance and is denoted X and then another card is picked from remaining cards and is denoted as Y
Here E(X) = (1+2+3+4+5+6+7+8+9+10)/10 = 5.5
E(Y)=P(X=1) *E(Y|X=1) +P(X=2) *E(Y|X=2) +. .+P(X=10)*E(Y|X=10)
= (1/10) *(2+3+4+ .+10)/9+(1/10)*(1+3+4+..+10)/9+....+(1/10)*(1+2+3+4+5...+9)/9
= (1/10) *(9/9) *(1+2+3+4+5+6+7+8+9+10) = 5.5
Hence, E(X-Y) = E(X) - E(Y) = 0.000
Answer:
b
Step-by-step explanation:
I = Prt Solve the equation for r
<u> I </u> = <u>Prt</u> Divide both sides by Pt to get r on one side of the equation by itself
Pt Pt Cancel the P and t on right side as P/P and t/t = 1
This leaves: <u> I </u> = r or r = <u> I </u>
Pt Pt
