Answer:
Value of x :
or 13.86
Value of y : 16
Step-by-step explanation:
You can use trigonometric functions to find the values of x and y.
For x:
-Tangent is the one for x, so you can use:
tan(θ)=opposite/adjacent
-Plug the values in to get
tan(60)=x/8
x=8×tan(60)
x=
or 13.86
For y:
For y we can either use trigonometric functions or the pythagorean theorem.
![a^{2} = b^{2} + c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3D%20b%5E%7B2%7D%20%2B%20c%5E%7B2%7D)
![y^{2} = 13.86^{2} + 8^{2}](https://tex.z-dn.net/?f=y%5E%7B2%7D%20%3D%2013.86%5E%7B2%7D%20%2B%208%5E%7B2%7D)
![y^{2} =256.1\\](https://tex.z-dn.net/?f=y%5E%7B2%7D%20%3D256.1%5C%5C)
y is around 16
Answer:
Step-by-step explanation:
Use distance formula.
(1 , 2) Q(4.5, 10.75)
Distance = ![\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%20%20%5C%5C%5C%5C)
![= \sqrt{(4.5-1)^{2}+(10.75-2)^{2}} \\\\\\=\sqrt{(3.5)^{2}+(8.75)^{2}} \\\\= \sqrt{12.25+76.5625} \\\\= \sqrt{88.8125}\\\\= 9.42 units](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%284.5-1%29%5E%7B2%7D%2B%2810.75-2%29%5E%7B2%7D%7D%20%20%5C%5C%5C%5C%5C%5C%3D%5Csqrt%7B%283.5%29%5E%7B2%7D%2B%288.75%29%5E%7B2%7D%7D%20%20%5C%5C%5C%5C%3D%20%5Csqrt%7B12.25%2B76.5625%7D%20%5C%5C%5C%5C%3D%20%5Csqrt%7B88.8125%7D%5C%5C%5C%5C%3D%20%209.42%20units)
Answer:
4 - 5
Step-by-step explanation:
square root of 20 is 4.472135955 therefore the two whole numbers it is between are 4 and 5.
Part A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 6 days, she has to pay a total rent of $510.
Write an equation in the standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points) it is 38
Answer:
3.75 seconds
Step-by-step explanation:
<u>Given:</u>
![h(t)=-16t^2+Vt+h](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2BVt%2Bh)
![h=2](https://tex.z-dn.net/?f=h%3D2)
![V=180](https://tex.z-dn.net/?f=V%3D180)
<u>Plug in given info into formula:</u>
![h(t)=-16t^2+120t+2](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2B120t%2B2)
<u>Find the x-coordinate of the vertex:</u>
<u />
<u />
![t=-\frac{120}{2(-16)}](https://tex.z-dn.net/?f=t%3D-%5Cfrac%7B120%7D%7B2%28-16%29%7D)
![t=-\frac{120}{-32}](https://tex.z-dn.net/?f=t%3D-%5Cfrac%7B120%7D%7B-32%7D)
![t=\frac{15}{4}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B15%7D%7B4%7D)
![t=3.75](https://tex.z-dn.net/?f=t%3D3.75)