Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course. The base of the green is 4 feet wide
2 answers:
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This is a linear relationship. The slope-intercept form of the linear equation is:
Where,
- m is the rate of change (positive if increasing rate and negative if decreasing rate)
- c is the y intercept, or the initial value
<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>
<u><em>Initial value is 50 quarts, so c is 50.</em></u>
Plugging in the values we get .
Changing variables to w instead of y and t instead of x, gives us,
. Where w is warts of water left in the tub and t is the time in minutes.
There is no viable solution when t=30 because at t=20, w=0 (). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.
ANSWER:
Modelling equation:
When , there is no VIABLE solution
domain is {2.4, 4.8, 6.3, 8.8, 10.1 }
For domain, equate f(x) to each value in the range and solve for x
7x - 2.7 = 14.1 ⇒ x = = 2.4
7x - 2.7 = 30.9 ⇒ x = = 4.8
7x - 2.7 = 41.4 ⇒ x = = 6.3
7x - 2.7 = 58.9 ⇒ x = = 8.8
7x - 2.7 = 68 ⇒ x = = 10.1
The internal angle sum of a quadrilateral is :
C. 360°
The sum of internal angles of a polygon is determined by a formula :
where n represents number of sides.
In a quadrilateral there are four sides,
So, plugging 4 in the formula :
_____________________________
2. 
(this is given in the first sentence)
3.
and 
due to ...
7. ... the alternate interior angles theorem (which holds because
and 
are parallel)
8. Because the above establishes that
, which means 
, which in turn means 
is a parallelogram.
3.
7. ... the alternate interior angles theorem (which holds because
8. Because the above establishes that