Answer:
Please see attached image for the sketch with the labels.
Length "x" of the ramp = 11.70 ft
Step-by-step explanation:
Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (
), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.
For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:
![sin(20^o)=\frac{opposite}{hypotenuse}\\ sin(20^o)=\frac{4}{x} \\x=\frac{4}{sin(20^o)} \\x=11.695\,\,ft](https://tex.z-dn.net/?f=sin%2820%5Eo%29%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%5C%5C%20sin%2820%5Eo%29%3D%5Cfrac%7B4%7D%7Bx%7D%20%5C%5Cx%3D%5Cfrac%7B4%7D%7Bsin%2820%5Eo%29%7D%20%5C%5Cx%3D11.695%5C%2C%5C%2Cft)
Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft
Answer:
second one
Step-by-step explanation:
In the event that a line has no y-intercept, that implies it never converges the y-intercept, so it must be parallel to the y-intercept. This implies it is a vertical line, for example, . This slant of this line is vague. In the event that the line has no x-intercept, at that point it never meets the x-intercept, so it must be parallel to the x-pivot.
If x-intercept is -2 the line would be vertical as the y-intercept = 0.
Answer:
The Answer is D. If the month is on the x axis then its gonna be above the horazontal line (x-axis) and if its a positive temerature then its gonna be in the quadrent 1.
Step-by-step explanation:
You have 2 apples, get 3 more, and then lose 2 of them.
So, you HAVE 2 apples, and if you get 3 more, you can add it to the 2.
![2 + 3 = 5](https://tex.z-dn.net/?f=2%20%2B%203%20%3D%205)
In total at the moment, you have 5 apples. Now, you lose 2 more. We can subtract that from our total number of apples.
![5 - 2 = 3](https://tex.z-dn.net/?f=5%20-%202%20%3D%203)
We now know that you are left with
3 apples.