For a vertical projectile, the equation of motion is expressed h(t)=g+bt+c, where g is gravity, b is the initial upward velocity, and c is the starting height. The maxima of this equation is given by -b/2g, which in this case would be -56/-32, or 1.75 seconds after launch
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Answer:
110 + 10x ; 40x
4
Step-by-step explanation:
Given that:
For every visit to Arts museum:
Scenario 1:
Parking fee = $15
Admission fee = $25
Total amount for scenario 1:
If number of visits = x
Total cost = $(15 + 25) × number of visits
Total cost : $40x
With membership :
Price of membership = $110 (one time payment)
Parking fee = $10
Admission fee = $0
Let number of visits = x
Total cost :
Membership fee + (parking fee × number of visits)
$110 + ($10 * x)
= 110 + 10x
B) number of visits for which member cost is less than non-member cost :
Member cost = 110 + 10x
Non member cost = 40x
110 + 10x < 40x
10x - 40x < 110
-30x < 110
x > 3.67
Hence x = 4
Number of visits for which member cost is greater than non member cost is 4
You can find the approximate value of h in this the same way you could with an algebraic expression.
h - 3 < 5
+3
h < 8
Answer:
The triangle is 50,50 80
Step-by-step explanation:
The three angles of a triangle equal 180 degrees
We only want one 80 degree angle. That means the other two angles have to be the same, since it is an isosceles triangle. Call the other angle x
x+x+80 = 180
2x+80 =180
Subtract 80 from each side
2x+80-80=180-80
2x =100
Divide by 2
2x/2=100/2
x = 50
Each of the other angles in the triangle would have to equal 50 degrees
The triangle is 50,50 80
