Answer:
area of circle having radius 3
is πr²=π*3²=9π square units
area of circle having radius 2
=πr²=π×2²=4π square units
again
area of big circle having radius [3+2]=5 units
=πr²=π×5²=25π square units
Now
<u>area</u><u> </u><u>of</u><u> </u><u>shaded</u><u> </u><u>region</u><u>=</u><u>2</u><u>5</u><u>π</u><u>-</u><u>4</u><u>π</u><u>-</u><u>9</u><u>π</u><u>=</u><u>1</u><u>2</u><u>π</u><u> </u><u>or</u><u> </u><u>3</u><u>7</u><u>.</u><u>7</u><u>s</u><u>q</u><u>u</u><u>a</u><u>r</u><u>e</u><u> </u><u>units</u><u>.</u>
Answer:
Step-by-step explanation:
1.5 quarts of grape juice should be mixed with 3/4 quarts of water.
1.5 is the same as 3/2. Our ratio is 3/2 : 3/4
If we multiply everything by 4, things will get even easier to understand.
This gives us a ratio of (4 x 3/2) : (4 x 3/4)...
...or more simply put as 6 : 3
Which is even more simply put as 2:1
so for 15/4 we want
15/4 x 2 = 15/2
or 7.5 quarts if you want to express it once again as a decimal.
(We can also attack the problem by simply considering is all in decimals at the outset; 1.5 quarts grape mixed with 0.75 quarts of water. The 2: 1 relationship is quite obvious looking at this. Once again 15/4 x 2 = 15/2 or seven and a half quarts).
Answer: 62 words per minute.
Step-by-step explanation: 496/8=62.