Answer:
The field will not fit
Step-by-step explanation:
To find the angle, we will use cosine rule;
c² = (a² + b² - 2abcosC)
C in this case is θ
Thus;
15² = (8² + 20² - 2(8 × 20)cos θ)
225 = (64 + 400 - 320cos θ)
464 - 225 = 320cos θ
cos θ = 239/320
θ = cos^(-1) 0.7469
θ = 41.68°
Thus angle is not less than 40° as recommended. Thus, the field will not fit.
Answer:
Step-by-step explanation:
y - 35
There is a total of $35,000 worth of prizes being given out for 5,000 tickets. We can find the expected value for each ticket by dividing 35,000/5,000. This equals $7.00.
Answer:
-134
Step-by-step explanation:
Hope this helps! :D
Answer:
y+6=1/2(x+3)
Step-by-step explanation:
Hi there!
We want to find the equation of the line in point-slope form that passes through (-3, -6), and (3, -3)
Point-slope form is given as y-
=m(x-
) where (
,
) is a point and m is the slope
We don't know the slope of the line, so let's find it
The formula for the slope (m) calculated from two points is
, where (
,
) and (
,
) are points
We have two points, but let's label their values to avoid any confusion
=-3
=-6
=3
=-3
Now substitute into the formula (remember: the formula has SUBTRACTION)
m=
simplify
m=
m=
m=1/2
So the slope of the line is 1/2
Now that we have everything needed for point-slope form (a point and the slope), substitute the values into the formula (remember: the formula has SUBTRACTION)
y-
=m(x-
)
y--6=1/2(x--3)
simplify
<u>y+6=1/2(x+3)</u>
Hope this helps!