Answer:
110in
Step-by-step explanation:
You are given the angle and the length of one leg of the triangle. Therefore, you will want to use one of the trigonometric formulae you've learnt. The available ones are:
where <em>O</em> represents the leg opposite the angle, <em>A </em>represents the leg Adjacent to the angle, and <em>H</em> represents the hypotenuse. The lamppost in this problem is the leg <em>opposite the angle</em>, so you want a formula that has <em>O </em>in the equation, namely <em>sin </em>or <em>tan</em>. Because you were given the leg <em>adjacent </em>to the angle, it makes sense here to use <em>tan.</em> Set up the equation as such to solve:
For some reason, it wanted you to convert 70 degrees to radians, so that may have been where you could have run into issues. If you plugged in 70 as degrees, you would get 48 which isn't an option. Converting 70 to 1.22 rad gets you the answer of 110 in.
Answer:
pretty sure it's D........
1. A table can be a helpful thing to model the rate of change. It can be used by making an x and y column and listing each number underneath it like so:
x y
1 2
2 4
And so on. The rate of change for that table would be every time the x axis goes up 1, the y axis goes up 2.
2. To find the rate of change using a graph, look at the line on the graph. You can make a small triangle that starts on the line and then comes out and re-connects into the line. Like so - (look at attached picture). And as you go, you count how many you go down or up and how many you go left or right.
*Hopefully this was helpful, sorry if t wasn't!
xx, Avery
Line up the decimal points and multiply the rest like you would normally do it but drop down the decimal at the end
Answer:
The equation has no solution.
Step-by-step explanation:
Hi there!
First, let´s write the equation:
(√x + 3) + 6 = 3
To solve the equation, let´s subtract 6 to both sides of the equation:
√x + 3 = -3
subtract 3 to both sides of the equation:
√x = -6 (the square root of any number can´t be negative, but let´s solve it anyway and then check the solution).
Square both sides of the equation:
x = 36
Now, let´s check the solution:
(√x + 3) + 6 = 3
x = 36
(√36 + 3) + 6 = 3
(6 + 3) + 6 = 3
9 + 6 = 3
15 ≠ 3
Then, the equation has no solution.
Have a nice day!
