Answer:
7/10
Step-by-step explanation:
3/10+2/5
You have to make like denominators
So you multiply 2/5 by 2 since 1/ is the common denominator.
Then you add them
Hope this helped
Answer: C
Step-by-step explanation:
We know the scale factor is 6/2=3.
A) False. The ratio of the side lengths, not the areas, is 1 to 3.
B) False. Rectangle B is larger than Rectangle A.
C) The square of the ratio of the side lengths is the ratio of the areas.
D) False. The ratio of the side lengths, not the areas, is 1 to 3.
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
Answer:
Step-by-step explanation:
The sequence above is a geometric sequence.
The common ratio (r) = 
The common ratio < 1, therefore, the formula for the sum of nth terms of the sequence would be: 
a1 = 3
r = -2
n = 6
Plug in the values into the formula
