The correct question is
<span>Given cos theta=4/9 and csc theta < 0 find sin theta and tan theta
</span>
we know that
csc theta=1/sin theta
if csc theta < 0
then
sin theta < 0
we have that
<span>cos theta=4/9
we know that
sin</span>² theta+cos² theta=1
so
sin² theta=1-cos² theta-----> 1-(4/9)²----> 1-(16/81)----> 65/81
sin theta=-√(65/81)---->-√65/9
the answer Part a) is
sin theta=-√65/9
Part b) find tan theta
tan theta=sin theta/cos theta
tan theta=(-√65/9)/(4/9)-----> tan theta=-√65/4
the answer part b) is
tan theta=-√65/4
Answer:
y=(3/8)x+5.75
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
m=(8-5)/(6+2)=3/8
y=mx+b
5=3/8(-2)+b
5=-3/4+b
b=5.75
y=mx+b
y=(3/8)x+5.75
Since we're starting with a negative we're going to disregard the negative sign and add the numbers together: $10.28 + $39.89 = $50.17. :)
9514 1404 393
Answer:
13
Step-by-step explanation:
4 m is 400 cm, so the number that can be cut is ...
(400 cm)/(30 cm/piece) = 13 1/2 pieces
13 pieces can be cut that are 30 cm long.