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:
47.9 gm
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Total butter took = 54.8 gm
Extra butter quantity = 6.9g
So, we can calculate the exact quantity of butter needed by using following formula,
Exact butter needed = Total butter - Extra butter quantity
By putting the value, we get
Exact butter needed = 54.8 gm - 6.9gm
= 47.9 gm
Hence, he need 47.9gm butter.
Answer:
car a, car b
Step-by-step explanation:
car a 2x + 2= 4x
car b 3x + 3= 9x
both cars 13x
I think the answer would be 16, Hope this helps
first simplify the numerator (x+3)(x-2)=x^2-2x+3x-6=x^2+x-6
now factor the numerator (x+3)(x-2)
now find the restriction 3x-6=0 3x=6 x=2
now factor the denominator 3(x-2)
((x+3)(x-2))/3(x-2)
now cross off the (x-2)
and you are left with (x+3)/3
ANSWERS:
The restriction is X=2
The simplified fraction is (x+3)/3
