Answer:
So the probability is P=0.00256.
Step-by-step explanation:
We have 26 letters, so the probability that the first letter in the name is the same is 1/26.
The probability that the second letter in the name is the same is 1/26 and the probability that the third letter in the name is the same is 1/26.
Out of ten people we choose 2.
So the probability is:
So the probability is P=0.00256.
Answer:
Option C. 154 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Pi (π) = 22/7
Diameter (d) = 14 cm
Area (A) =?
Next, we shall determine the radius of the circle. This can be obtained as follow:
Diameter (d) = 14 cm
Radius (r) =?
r = d/2
r = 14/2
r = 7 cm
Finally, we shall determine the area of the circle as illustrated below:
Pi (π) = 22/7
Radius (r) = 7 cm
Area (A) =?
The area of a circle can be obtained by using the following formula:
A = πr²
A = 22/7 × 7²
A = 22/7 × 7 × 7
A = 22 × 7
A = 154 cm²
Thus, the area of the circle is 154 cm²
Answer:
See below
Step-by-step explanation:
x(x-2y)-(y-x)2
Final result :
-y2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
x • (x - 2y) - (y - x)2
Step 2 :
2.1 Evaluate : (y-x)2 = y2-2xy+x2
Final result :
-y2
A. 50 divided by .6 is 30 so .6
B. x=9 y=30
Answer:
E. (You always start with the given statement)
C.
A.
D.
B.
Step-by-step explanation:
The first line is given and therefore goes with E. Given.
The second line comes from the definition of median.
It bisects the opposite side from the vertex is being drawn from: So we have FA=FB, BE=EC, and CG=GA.
Second box goes with C.
Third line says FA/FB=1, BE/EC=1, and CG/GA=1.
How did they get this. It looks like they divided previous equation on both sides by right hand side's expression.
For example:
FA=FB
Divide both sides by FB you get:
FA/FB=FB/FB
FA/FB=1
So third line goes with A.
The fourth line is substitution property. 1=1(1)(1)=1(FA/FB)(BE/EC)(CG/GA). They replaced the 1's with what we had in the previous line.
Fifth line is Ceva's Theorem since it states that the FA:FB=BE:EC=CG:GA=1 implies the medians are concurrent.
