You find the circumference of a full circle so 2πr =43.98
then divide by 4=10.995
so the answer is 10.995cm
Answer:
see explanation
Step-by-step explanation:
A difference of two squares is factored as
a² - b² = (a - b)(a + b)
(g)
1 - 81y²
= 1² - (9y)²
= (1 - 9y)(1 + 9y)
(j)
64x² - 25y²
= (8x)² - (5y)²
= (8x - 5y)(8x + 5y)
Answer:
<u>P (E1) = 1/2 or 50%</u>
<u>P (E2) = 3/13 or 23%</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of playing cards = 52
Number of suits = 4
Number of cards per suit = 13
Number of black suits = 2
Number of red suits = 2
2. Suppose E1 = the outcome is a red card and E2 = the outcome is a face card (K, Q, J). Determine P(E1 or E2).
P (E1) = Number of red cards/Total of playing cards
P (E1) = 26/52 = 1/2 = 50%
P (E2) = Number of face cards/Total of playing cards
P (E2) = 12/52 = 3/13 = 23%
A = (pi) * r^2
A = 3.14 * 11^2
A = 3.14 * 121
A = 379.94 miles
The above statement is true meaning cos(π/₂-x)=sin(x)
Step-by-step explanation:
We know that sine and cosine function are mutual cofunctions.
Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)
This can be verified mathematically by assuming “x” as 30°
Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)
Similarly Sin 30°= 0.5 (from trigonometric table values)
This can be proved through using the formula
Cos(A-B)= Cos A.Cos B + Sin A.Sin B
Here A=90° and b=x°
Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)
Cos 90°.cos x+ sin 90.sin x
0+sinx= sinx
Hence it is proved that cos(π/₂-x)=sin(x)
