Answer:
105+15=3x
120=3x
x=40
be grateful, I don't help ppl usually
Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
Answer: 8 centimeters
Step-by-step explanation: To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 64π, we can set up the equation 64π = πr².
To solve for <em>r</em>, we first divide both sides of the equation by π.
On the left side, the π's cancel and we're left with 64 and on the right side, the π's cancel and we're left with r².
So we have 64 = r².
Next, we take the square root of both sides to get 8 = r.
So the radius of our circle is 8 centimeters.
The required value of Arc BC m = 140° Option B is correct.
Given that,
AD is the diameter of the circle,
∠1 = ∠3 = 20°
Arc BC is to be determined.
<h3>What is an arc?</h3>
Arc is the measure of angle on the circumference of circle.
Here,
∠1 = arc AB
∠3 = arc CD
Now, for circle p
Since angle 1 and angle 2 are equal to the composition of the arc,
Arc AD = Arc AB + Arc BC + Arc CD = 180
20 + Arc BC + 20 = 180
Arc BC = 180 - 40
Arc BC = 140°
Thus, the required value of Arc BC m = 140° Option B is correct.
Learn more about arc here:
brainly.com/question/18741430
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