To find the area of a triangle, you have to multiply the height and the base length, and divide that by two.
In this question, the height is 3 square units and the base length is 4 square units.
Therefore, to find the area, you must multiply 3 by 4, which is 12, and then divide this by 2, which is 6.
So the area of this triangle is 6 square units.
Answer: 86 and 4
Step-by-step explanation:
Hopefully this is the right answer!
The answer is 1. sin x function oscillates propagating in the x direction with its maximum and minimum at y=1 and y=-1
9514 1404 393
Answer:
- after 7 minutes
- 19,600 feet
Step-by-step explanation:
Here's the "pencil and paper" solution:
The two altitude equations are ...
- y = 41300 -3100x
- y = 2800x
They can be solved by setting the expressions for y equal to each other.
2800x = 41300 -3100x
5900x = 41300
x = 41300/5900 = 7
y = 2800·7 = 19600
The planes will both be at 19,600 feet after 7 minutes.
_____
Attached are solutions from a graphing calculator, and from a calculator app that is able to solve systems of equations.
I find the graphing calculator the easiest to use. I can enter equations using a keyboard, and the solution is displayed in a form that can be copied and pasted.
The calculator app on my phone requires equation entry using a small on-screen keyboard, with multiple key hits required to access some functions. (y is obtained by hitting the x key twice, for example.)
The "pencil and paper" solution is not so difficult, but requires a certain amount of writing (or good short-term memory). The solutions for x and y require separate calculations, whereas the other methods give both x and y at the same time.
Answer:
200
Step-by-step explanation:
Use the ratio: 20/100 = 40/X
Simplify the ratio: 1/5 = 40/X
Cross Multiply: 1X = 200
Divide both sides by 1: 1X/1 = 200/1
Simplify: X = 200