Answer:
Yes! There are 3 different explanations I have. Pick your favorite.
Step-by-step explanation:
So we are asked to see if the following equation holds:
The units cancel out ft/ft=1 and sec/sec=1.
So we are really just trying to see if 4/6 is equal to 12/18
Or you could cross multiply and see if the products are the same on both sides:
Cross multiply:
Since you have the same thing on both sides then the ratios given were proportional.
OR!
Put 4/6 and 12/18 in your calculator. They both come out to have the same decimal expansion of .66666666666666666(repeating) so the ratios gives are proportional.
OR!
Reduce 12/18 and reduce 4/6 and see if the reduced fractions are same.
12/18=2/3 (I divided top and bottom by 6)
4/6=2/3 (I divided top and bottom by 2)
They are equal to the same reduced fraction so they are proportional.
Answer:
28.3
Step-by-step explanation:
Since 1 gram = 353/10000 ounces, then to make the right side 1, you must multiply by the reciprocal, or 10000/353 to make it 1. Then you get 10000/353 grams = 1 ounce. Now, we divide and round to the nearest tenth. This is 28.3 grams.
The Required ratio between the speed of the boat and speed of the water current is 8:3.
<h3>What is ratio?</h3>
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Given:
Upstream time= 8 hr 48 = 8 4/5 hour
Downstream time= 4 hour
Let the man's rate upstream be x kmph and that downstream be y kmph.
Then,
distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
x* 8 hr 48 min = y* 4 hours
x* 8 4/5= 4y
y= 11/5 x
Now,
Required ratio
(y+x)/2:(y-x)/2
= (16x/5 * 1/2): ( 6x/5 *1/2)
=8/5:3/5
=8:3
Hence, the required ratio is 8:3.
Learn more about ratio here:
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If the angle of depression is 28° the complementary angle in the triangle is 62°. With this you can use soh-cah-toa to find the x value.
cos62 = 350/x; multiply both sides by x
cos62 x = 350; divide both sides by cos62
x = 350 / cos62
x = 745.519
x = 746 ft
Hope this helps you!
8+2x=5x-22
-2x -2x
8=3x-22
+22 +22
30=3x
3x=30
x= 30/3
x=10