Using the given equation, it is found that it lands on the ground after 0.875 seconds.
<h3>What is the equation for the projectile's height?</h3>
It is given by:
![h(t) = -16t^2 + vt + h](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%20vt%20%2B%20h)
In which:
- v is the initial velocity.
In this problem, considering that the projectile jumps straight into the air with an initial vertical velocity of 14 ft/s, the parameters are v = 14 and h = 0, hence:
![h(t) = -16t^2 + 14t](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%2014t)
It lands on the ground when h(t) = 0, hence:
![-16t^2 + 14t = 0](https://tex.z-dn.net/?f=-16t%5E2%20%2B%2014t%20%3D%200)
![t(-16t + 14) = 0](https://tex.z-dn.net/?f=t%28-16t%20%2B%2014%29%20%3D%200)
Then:
![16t = 14](https://tex.z-dn.net/?f=16t%20%3D%2014)
![t = \frac{14}{16}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B14%7D%7B16%7D)
![t = 0.875](https://tex.z-dn.net/?f=t%20%3D%200.875)
It lands on the ground after 0.875 seconds.
More can be learned about equations at brainly.com/question/25537936
Answer:
![Length = 17](https://tex.z-dn.net/?f=Length%20%3D%2017)
Step-by-step explanation:
<u>Step 1: Find the length of the rectangle</u>
![Area = Width * Length](https://tex.z-dn.net/?f=Area%20%3D%20Width%20%2A%20Length)
![\frac{51}{3} = \frac{3 * Length}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B51%7D%7B3%7D%20%3D%20%5Cfrac%7B3%20%2A%20Length%7D%7B3%7D)
![17 = Length](https://tex.z-dn.net/?f=17%20%3D%20Length)
Answer: ![Length = 17 cm](https://tex.z-dn.net/?f=Length%20%3D%2017%20cm)
Answer:
Sale price= $25.5
Step-by-step explanation:
Giving the following information:
The original price was $29.99, but the ball was on sale for 15% off.
<u>To calculate the sales price, we need to use the following formula:</u>
<u></u>
Sale price= original price* (1 - sales discount)
Sale price= 29.99*(1 - 0.15)
Sale price= $25.5
<span><span><span><span><span>2s</span>+s</span>+12</span>=132
</span>Step 1: Simplify both sides of the equation.
<span><span><span><span>2s</span>+s</span>+12</span>=132
</span></span><span><span>Simplify: </span><span>Let's simplify step-by-step.
<span><span><span><span>2s</span>+s</span>+12</span>=132
</span><span><span><span><span>(<span><span>2s</span>+s</span>)</span>+<span>(12)</span></span>=132</span>(Combine Like Terms)
</span><span><span><span>3s</span>+12</span>=132
</span></span></span><span><span><span><span>3s</span>+12</span>=132
</span>Step 2: Subtract 12 from both sides.
<span><span><span><span>3s</span>+12</span>−12</span>=<span>132−12
</span></span><span><span>3s</span>=120
</span>Step 3: Divide both sides by 3.
<span><span><span>3s/</span>3</span>=<span>120/3</span></span><span>s=<span>40</span></span></span>
SAA is not a triangles congruent