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Burka [1]
4 years ago
14

Consider firing a pumpkin from a canon at a target that is 17 meters away. The pumpkin follows a quadratic path as displayed to

the right. Will the pumpkin hit the target? 1a. Use the graphing calculator to make a table of the given ordered pairs. Include (0,0) in your table. b. Find the equation for the parabola. Round all co-efficients to the nearest tenth. (2 points) c. Find the roots of the equation from part b. (2 points) d. Will the pumpkin hit the target? (1 point)

Mathematics
1 answer:
sleet_krkn [62]4 years ago
3 0
A ) This is a quadratic function:
y = a x² + b x + c
If the starting point is ( 0, 0 ) then c = 0
b ) The function is:  y = - 0.2 x² + 3.6 x
( with coefficients to the nearest tenth )
The graph is in the attachment.
c ) The roots:
x 1 = 0,
0.2 x = 3.6
x = 3.6 : 0.2 
x 2 = 18
d ) This is near the target  ( 17 m ) . So the pumpkin will hit near the target.

Download docx
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Please help!!
azamat

Answer:

sin \theta = \frac{\sqrt {19}}{10}

Step-by-step explanation:

( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\  \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10}

7 0
3 years ago
Shanice invests $4,668 in a savings account with a fixed annual interest rate of 2% compounded continuously. What will the accou
charle [14.2K]

Answer:

  • $5588.61

Step-by-step explanation:

<u>Given:</u>

  • Investment P = $4668
  • Interest rate r = 2% or 0.02
  • Compound number = continuous
  • Time t = 9 years

<u>Calculate the balance:</u>

  • A = Pe^{rt}
  • A = 4668*e^{0.02*9}=4668*e^{0.18}=5588.61

7 0
3 years ago
What are the steps to construct parallel lines using a compass and straightedge.
kari74 [83]

The first thing you do is draw a straight line. It can be any length. Then draw a point above the line. Place the stylus of the compass on the point, and swing the compass down to make two marks on the line. Then, draw marks below the line, by placing the stylus on the points of intersection. Draw a line from where these two meet to the original point.Mark two points on the 2nd line by placing the compass stylus on the original dot, and swinging it down and up. Then, swing the compass from both of these new points of intersection , on either side of the line, to form 2 new points.Connect these 3 points, and now you have 2 parallel lines! The original line and the most recently made are parallel with each other. Hope this helps!

5 0
3 years ago
How do I solve 15=3p/6 ?
valina [46]
Given : 15 = 3p/6

=> 15 x 6 = 3p

=> 90 = 3p

=> p =90/3

=> p = 30

Hope this helps you :)
7 0
3 years ago
Read 2 more answers
How do you do this?Can you help me with the steps? I don't really get this a lot
polet [3.4K]
Before you do the steps, change the fractions given to improper fractions:
2 2/3 = 8/3
3 1/6 = 19/6

Now, I think the first step they want you to write is:
8/3 (divided by) 19/6

When you divide two fractions, it's the same as multiplying the first fraction by the reciprocal of the second fraction. (A reciprocal is a fancy way of saying you flip the fraction)
So the next step will look like this:
8/3 x 6/19

With this setup, you can cross simplify the fractions so that they look like this:
8/1 x 2/19
When you multiply this, you get 16/19
Let me know if you have any questions!
4 0
3 years ago
Read 2 more answers
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