Answer:
slope = 
Step-by-step explanation:
equation to find the slope: 
(0,4) (6,2)
=
= 
X=84° because the 84 above it and x are corresponding angles
Answer:
K= 16.5 gallons per minute
Step-by-step explanation:
Time t (minutes) Water g (gallons)
For t= 1, g= 16.50,
for t= 1.5 ,g= 24.75
For t= 2,g= 33
Let the function be
Gallons g= k(time t)
Where k is the constant of proportionality
16.5= k(1)for when t= 1
24.75= k(1.5) ..for when t= 1.5
Solving gives
8.25=k(0.5)
8.25/0.5= k.
16.5 = k
K= 16.5 gallons per minute
The area of the shaded region in the task content is; 251.2.
<h3>What is the area of the shaded region in the task content?</h3>
It follows from the task content that the area of the shaded region is;
= Area of semicircle IL - Area of semicircle JK + Area of semicircle IJ + Area of semicircle KL.
Hence, since the radius of each semicircle are as follows;
R(IL) = 12
R(IJ) = R(JK) = R(KL) = 4.
Hence, the Area of the shaded region can be evaluated as;
= (π/2)(12² - 4² + 4² +4²).
= π (144 +16)
= (3.14/2) × 160 = 251.2
Read more on Area of semicircle;
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