Answer:
823.7 m^2
Step-by-step explanation:
The ratio of the side lengths is 6/5.
The ratio of the areas is the square of the ratio of the side lengths, 36/25.
572 m^2 * 36/25 = 823.7 m^2
Answer:
Yes
Step-by-step explanation:
Two numbers have to be greater than the other one or it does not make a triangle.
5+2>4, 7>4 true
5+4>2, 9>2 true
4+2>5, 6>5 true
If this helps please mark as brainliest
Answer:
15
Step-by-step explanation:
Given: y is directly proportional to
when x = 7, y = 9
To find: y when x = 23
Solution:
u and v are said to be proportional if
where k is a constant of proportionality.
As y is directly proportional to
when x = 7, y = 9,
![y=k\sqrt{x+2}\\](https://tex.z-dn.net/?f=y%3Dk%5Csqrt%7Bx%2B2%7D%5C%5C)
Put x = 7, y = 9
![9=k\sqrt{7+2}=3k\\ k=\frac{9}{3}=3\\ y=3\sqrt{x+2}](https://tex.z-dn.net/?f=9%3Dk%5Csqrt%7B7%2B2%7D%3D3k%5C%5C%20k%3D%5Cfrac%7B9%7D%7B3%7D%3D3%5C%5C%20y%3D3%5Csqrt%7Bx%2B2%7D)
Put x = 23
![y=3\sqrt{23+2}=3\sqrt{25}=3(5)=15](https://tex.z-dn.net/?f=y%3D3%5Csqrt%7B23%2B2%7D%3D3%5Csqrt%7B25%7D%3D3%285%29%3D15)
For this case we have the following equation, in a linear way:
![y + 2 = 3 (x-1)](https://tex.z-dn.net/?f=y%20%2B%202%20%3D%203%20%28x-1%29)
This expression can be written in the form ![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where "m" is the slope and "b" is the cut point with the y axis.
Rewriting the given expression we have:
![y + 2 = 3x-3\\y = 3x-3-2\\y = 3x-5](https://tex.z-dn.net/?f=y%20%2B%202%20%3D%203x-3%5C%5Cy%20%3D%203x-3-2%5C%5Cy%20%3D%203x-5)
Thus, the slope is 3 and the cut point is -5.
To graph, we must find two points through which the line passes, so, we perform the following steps:
Step 1:
We do ![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
![y = 3 (0) -5\\y = 0-5\\y = -5](https://tex.z-dn.net/?f=y%20%3D%203%20%280%29%20-5%5C%5Cy%20%3D%200-5%5C%5Cy%20%3D%20-5)
Thus, the point ![(x1, y1) = (0, -5)](https://tex.z-dn.net/?f=%28x1%2C%20y1%29%20%3D%20%280%2C%20-5%29)
Step 2:
We do![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
![0 = 3x-5\\5 = 3x](https://tex.z-dn.net/?f=0%20%3D%203x-5%5C%5C5%20%3D%203x)
![x =\frac{5}{3}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B5%7D%7B3%7D)
Thus, the point ![(x2, y2) = (\frac{5}{3},0)](https://tex.z-dn.net/?f=%28x2%2C%20y2%29%20%3D%20%28%5Cfrac%7B5%7D%7B3%7D%2C0%29)
Answer:
See attached image
Answer:
Quadrant I (one). 73 degrees
Step-by-step explanation:
See the attached image.
To get a coterminal angle, add 360 degrees. 360 + (-287) = 73.