Answer:
hi
Step-by-step explanation:
you should eat more sushi because it will help you digest food better! just letting you know to help you and make you feel healthy!
xoxo
As the exterior angles always add up to 360, you can find the number of sides by dividing 360 by the measure of your exterior angle, 30. This gives you 360/30=12, meaning your polygon has 12 sides.
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
Hello from MrBillDoesMath!
Answer:
x >= 7
Discussion:
x + 5 >= 12 => add -5 to both sides
x + 5 -5 >= 12 - 5 => as 5-5 = 0 and 12 =5 = 7
x >= 7
Thank you,
MrB
Answer:
22 centimeters
Step-by-step explanation:
<em>1. See how many centimeters are in a meter:</em>
There is 100 centimeters in one meter
<em>2. Multiply each number by 100 to convert the meters to centimeters </em>
0.98 x 100= 98
0.76 x 100 = 76
<em>3. Subtract to find the difference </em>
98 - 76 = 22
<u>Hence, the blue string is 22 centimeters longer than the yellow string.</u>
<u><em>have great night! :D</em></u>
