The Answer is....
x=-3 and y=3
(-3,3)
Answer:
82.8 in²
Step-by-step explanation:
The surface area a triangular based pyramid :
Base area + 1/2(perimeter * slant height)
Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches
Base area of triangle :
1/2 * base * height
1/2 * 8 * 6.9
4 * 6.9
Base area = 27.6 in²
The perimeter, P = sum of sides ; (s1 + s2 + s3
P = 8 + 8 + 8 = 24 in
Hence,
Surface area = 27.6 in² + 1/2(24*4.6)
Surface area = 27.6 in² + (12 * 4.6) in²
Surface area = (27.6 + 55.2)
Surface area = 82.8 in²
Answer:
Well first see what the points are
Step-by-step explanation:
Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
Answer: <span>y - 37.5 = 2.5 ( x - 7)
Explanation:
1) The point-slope form is has this form:
y - y1 = m (x - x1)
Where m is the slope or rate of change and x1, y1 are the coordinates of the point.
2) you are told that the the rate of change of water (m) is 2.5
m = 2.5
3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:
x1 = 7
y1 = 37.5
</span>4) Replace those value in the point-slope model:
y - 37.5 = 2.5 ( x - 7)
That is the point-slope model or equation.
