Answer: 13 . 99 seconds
Step-by-step explanation:
The formula to find how long it will take an object to rotate through 6.9 revolutions at an angular velocity is given as :
t = 2π x number of revolutions / angular velocity
Therefore :
t = 2π x 6.9 / 3.1
t = 2 x 3.142 x 6.9 / 3.1
t = 43.3596/3.1
t = 13. 98696774194
to the nearest tenth
t = 13. 99s
$52.50 and subtract $20.50 to get $32 and multiply that by 10 (months) to get $320 and divide it by 2 and your final answer is; $160.00
Answer:
Step-by-step explanation:
Given the expression cosec (x) = 4 and tan(x)< 0
since cosec x = 1/sinx
1/sinx = 4
sinx = 1/4
From SOH, CAH TOA
sinθ = opposite/hypotenuse
from sinx = 1/4
opposite = 1 and hypotenuse = 4
to get the adjacent, we will use the Pythagoras theorem
adj² = 4²-1²
adj² = 16-1
adj ²= 15
adj = √15
cosx = adj/hyp = √15/4
tanx = opposite/adjacent = 1/√15
since tan < 0, then tanx = -1/√15
From double angle formula;
sin2x = 2sinxcosx
sin2x = 2(1/4)(√15/4)
sin2x = 2√15/16
sin2x = √15/8
for cos2x;
cos2x = 1-2sin²x
cos2x = 1-2(1/4)²
cos2x = 1-2(1/16)
cos2x= 1-1/8
cos2x = 7/8
for tan2x;
tan2x = tanx + tanx/1-tan²x
tan2x = 2tanx/1-tan²x
tan2x = 2(-1/√15)/1-(-1/√15)²
tan2x = (-2/√15)/(1-1/15)
tan2x = (-2/√15)/(14/15)
tan2x = -2/√15 * 15/14
tan2x = -30/14√15
tan2x = -30/7√15
rationalize
tan2x = -30/7√15 * √15/√15
tan2x = -30√15/7*15
tan2x = -2√15/7
10 because the number in the ones place is less than 5 which means u would go down to 10
Answer:
1/16
Step-by-step explanation:
Convert 50p to pound sterling.
50p = £0.5
Divide £0.5 with £8.
0.5/8
Simplify the fraction.
0.5×2/8×2
1/16
