Answer:
Step-by-step explanation:
2 is the correct answer
Answer:
13.0feet
Step-by-step explanation:
Given ΔDEF with ∠F=90°, the measure of ∠D=19°, and DE = 40 feet, since one of the angles of the triangle is 90°, the triangle is a right angled triangle as shown in the attachment.
Using SOH, CAH, TOA to get the unknown EF.
Since <D is opposite to side EF, EF will be the opposite while side DE will be the hypotenuse
Based on SOH:
Sin<D = Opposite/Hypotenuse
Sin<D = EF/DE
Sin19° = EF/40
EF = 40sin19°
EF = 13.0 feet to the nearest tenth of a foot
First you need to know how many square feet that is, 864864/12
That means there are 72072 Square feet.
Finally you need to multiply the square feet by the pieces of glass required. 72072*8
Answer being: 576576
Answer:
x = 6√2
Step-by-step explanation:
sin 45° = perpendicular / hypotenuse
perpenducular = 6. , hypotenuse = h
sin 45° = 6 / h = 1/√2
h = 6√2
Answer:
64.69e221
Step-by-step explanation:
When choosing, the combination formula for selection is used. That is when selecting "r" number of items from a possible "n" items, then the number of ways is denoted as:
nCr = n! / (n-r)! × r!
Since 66 string quartet have to be chosen and the 3 genres must be equally represented in the string quartet, then we must have 22 number of each genre in it.
Number of ways to select 22 mendelssohn from possible 66 = 66C22 = 1.82 × 10^17
Number of ways to select 22 Beethoven from possible 1616 = 1616C22 = 2.97 × 10^49
Number of ways to select 22 Haydn from possible 6868 = 6868C22 = 2.2 × 10^63
Total number of ways to arrange these 66 schedules = 66! = 5.44 × 10^92
Number of possible schedule = [1.82 * 10^17] * [2.97*10^49] * [2.2*10^63] * [5.44*10^92]
=64.69 ×10^221. ≈64.69e221
