theta is in the fourth quadrant where the cosine is positive.
the third side in the triangle = sqrt (4 - 2) = sqrt2
So sin theta = -sqrt2/2 = Second choice (negative because sine is negative in 4th quadrant)
tan theta = - sqrt2 / sqrt2 = -1
Answer:
-40
Step-by-step explanation:
Since x is 10 you need to multiply 10*-4 which equals -40.
Answer:
there are 11 big-bags and 24 small-bags.
Step-by-step explanation:
there are x big-bags and y small-bags.
so now we can know:
(1) x + y = 35
(2) 12x + 7y = 300
in (1),we can do like this:
both left and right x7
then (x + y)x7 = 35 x 7
then 7x + 7y = 35 x 7
then 7x + 7y = 245
now,
(1)7x + 7y =245
(2)12x + 7y = 300
we can both left and right do this: (2) - (1)
then
(12x + 7y) - (7x + 7y) = 300 -245
then
12x + 7y - 7x - 7y = 300 -245
then
12x - 7x +7y - 7y =300 -245
then
5x =55
then
5x ÷ 5 = 55 ÷ 5
then
x = 11
because
x + y =35;x=11
so
11 + y =35
11+ y -11 = 35 -11
then
y = 24
now we know:there are 11 big-bags and 24 small-bags.
Answer:
V ≈ 3367.6 cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = 
πr³ ( r is the radius )
Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so
V = × 3.14 × 9.3³
= × 3.14 × 804.357
= 
≈ 3367.6 cm³ ( to the nearest tenth )
Fixed expense because it is a monthly payment
