9514 1404 393
Answer:
10/33
Step-by-step explanation:
The usual approach (if your calculator won't do this for you) is to convert the mixed number to an improper fraction, then perform the division. That division can be accomplished by multiplying the numerator by the inverse of the denominator.
1 7/15 = (15+7)/15 = 22/15
Then ...
(4/9)/(22/15) = (4/9)(15/22) = (2·2·3·5)/(3·3·2·11) = (2·5)/(3·11) = 10/33
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<em>Alternate solution</em>
Both fractions can be given the same denominator:
4/9 = 20/45
1 7/15 = 22/15 = 66/45
Now, the division is ...
(20/45)/(66/45) = 20/66 = 10/33
Answer:
x^2 + y^2 = r^2
Step-by-step explanation:
See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.
Find the area of each individual shape and add those answers to get the entire sum
4x-7x= 13
⇒ -3x= 13
⇒ x= 13/(-3)
⇒ x= -13/3
The final answer is x= -13/3~