Answer: t=43.25-7/1.25=29 minuets
Step-by-step explanation:
he spent $43.25. he had to pay $7 first to get in. then for each minuet had to pay 1.25.
Answer:
Daisy has one side of the rectangular pen along the wall, so she needs one width, w, and two lengths, 2ℓ. She has at most 125 feet of fencing materials to build the fence for her pen
1 second/24 frames
so if he started with 0 frames
time s = (1/24) (additional f)
but he already had at least 250 frames
so
time s = (1/24)( f-250) or maybe less time if he had more than 250
24 s </= f - 250
or
f >/= 24 s + 250
Step-by-step explanation:
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
This is known as the commutative property of addition.
Hope this helps!
2x + y = 10 is y = -2x + 10
4x + 7 = 40
-7 -7
4x = 33
4 4
x = 8.25
y = -2(8.25) + 10
y = -6.5 and x = 8.25
Hope this helps :)
