Multiply those 2 numbers and divide that answer by 2
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:
true
Step-by-step explanation:
let the vertex of the triangle be A(x1, y1), B(x2, y2), C(x3, y3) .
the centroid of the triangle will be (
,
).
cordinate of mid point of AB (
)
Answer:
32.5 feet long and 20 feet wide
Step-by-step explanation:
To solve for the length first, you have it measured as 26 in long and each 4 in is 5 ft so you can go ahead and divide 26 in by 4 in and that gives you 6.5 in so what we did was figure out how many 4 in were in 26 in and therefore we have a 6.5 and so just to match that to the 5 ft per each 4 in (in this case we have 6.5) so we multiply 6.5*5 and that equals 32.5 ft which is the length of the garden bed.
Next we are going to solve for the width which is 16 in wide in the scale and so again each 4 in is 5 ft so here again we're going to divide 16 in by 4 in and that equals 4 in and so again each 4 in is 5 ft so we're going to go ahead and multiply 4 * 5 and that gets you 20 ft which is the width of the garden bed.
I will be trying to get the equation into slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept
6x + 7y = 14 Isolate the "y". First subtract 6x on both sides
7y = 14 - 6x Divide 7 on both sides
or 
The slope is 
The y-intercept is 2