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:
2.29
Step-by-step explanation:
First determine the square root of 17.8
√17.8 = 4.22
second, determine the value of 
= 1.93
subtract 1.93 from 4.22
4.22 - 1.93 = 2.29
Answer:
w = 23
l = 28
Step-by-step explanation:
w = width
l = w+5
P = 2 (l+w)
102 = 2( w+5+w)
102 = 2(2w+5)
Divide each side by 2
51 = 2w+5
Subtract 5
46 = 2w
Divide by 2
23 = w
The width is 23 and the length is 23+5 = 28
Answer: $23.40
Step-by-step explanation:
We will find what percent of the normal cost the items are currently.
100% - 28% = 72%
Now, we will find 72% of $32.50
72% -> 0.72
$32. 0 * 0.72 = $23.40
The discounted cost is $23.40.
