Answer:
x= -30
Step-by-step explanation:
√3×sinx+cosx=0
√3sinx=-cosx
√3sinx/-cosx=1
-sinx/cosx=1/√3
-tanx=1/√3
(tan(180-30))=1/√3
tan(-30)=1/√3
Therefore, x= -30
Answer:
Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.
Step-by-step explanation:
For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.
For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.
Now we find out if the ratios 12/200 and 9/150 are equal.
12/200 = 3/50
9/150 = 3/50
Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.
Answer:
x = 8 and y = 10
Step-by-step explanation:
Since the figures are congruent:
Angle PQR = EFG
6y + x = 68
Segment QR = FG
2x - 4 = 12
Solving that:
2x - 4 = 12
2x = 16
x = 8
Replacing x in 6y + x =68
6y + 8 = 68
6y = 60
y = 10
<h3>
Answers</h3><h3>diameter = 14</h3><h3>radius = 7</h3><h3>area = 154</h3>
these are all approximate
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Explanation:
C = pi*d is the formula for the circumference. We know that C = 44 approximately, so,
C = pi*d
d = C/pi
d = 44/3.14
d = 14.01 approximately
d = 14 also approximate
take half of this to get the radius
r = d/2 = 14/2 = 7
Then use this radius to find the circle's area
A = pi*r^2
A = 3.14*7^2
A = 153.86
A = 154 rounding to the nearest whole number
