Answer:
-4 sqrt(7)/7
Step-by-step explanation:
csc theta = -4/3
csc theta = hypotenuse / opposite side
hypotenuse = 4
opposite = 3
Using the pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9+b^2 = 16
b^2 = 16-9
b^2 = 7
Taking the square root
sqrt(b^2) = sqrt(7)
b = sqrt(7)
We are in the third quadrant so only tan and cot are positive
that means the x and y values are "negative" so a = -3 and b = - sqrt(7)
sec theta = hypotenuse / adjacent
= 4/ - sqrt(7)
rationalizing
-4 sqrt(7)/ sqrt(7)* sqrt(7)
= -4 sqrt(7)/7
Answer:
40
Step-by-step explanation:
14/35 = f/100
35f = 14 x 100
f = 14 x 100 /35
f = 40
Answer:
12.54
Step-by-step explanation:
5>0
Answer:
x = 4
Step-by-step explanation:
subtract 2 from both sides. then -4x is equal to -16. divide by -4 which gives you 4. Hope this helped!
The perimeter of the rectangle is equal to the doubled sum of the sides, and the area is equal to the product of the sides. So we have the following equation
3 x 2x = 2(3 + 2x)
6x = 6 + 4x
2x = 6
x = 3
