Im assuming the height is dropped so that it is the halfway point. this would then make the base 5cm, with a height of 12cm. if that is the case then the answer should be 13
3u + 21 divide 3 by both sides and your answer would be u= 7 :)
Answer:
685,653 lb
Step-by-step explanation:
The weight of the liquid can be found by multiplying its volume by its density. The volume will be that of a hemisphere, which can be found using the appropriate formula.
<h3>Hemisphere volume</h3>
The volume of a hemisphere with radius r is given by ...
V = (2π/3)r³
When the radius is 15 ft, the volume is ...
V = (2π/3)(15 ft)³ = 2250π ft³
<h3>Weight</h3>
The weight of the liquid in the tank is found using the density.
W = ρV
W = (97 lb/ft³)(2250π ft³) = 218250π lb ≈ 685,653 lb
The total weight of the liquid in the tank is about 685,653 pounds.
What is 2/3 - 1/6?<span><span>Here's how to subtract 1/6 from 2/3:<span><span>23</span>−<span>16</span></span></span><span>Step 1We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.So we multiply 2 by 6, and get 12.Then we multiply 1 by 3, and get 3.Next we give both terms new denominators -- 3 × 6 = 18.So now our fractions look like this:<span><span>1218</span>−<span>318</span></span></span><span>Step 2Since our denominators match, we can subtract the numerators.12 − 3 = 9So the answer is:<span>918</span></span><span>Step 3Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?To find out, we try dividing it by 2...Nope! So now we try the next greatest prime number, 3...Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:<span><span>918</span>÷ 3 =<span>36</span></span>Let's try dividing by 3 again...Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:<span><span>36</span>÷ 3 =<span>12</span></span>Let's try dividing by 3 again...No good. 3 is larger than 1. So we're done reducing.There you have it! The final answer is:<span><span>23</span>−<span>16</span>=<span><span>12</span></span></span></span></span>There are 3 simple steps to subtract fractions<span>Make sure the bottom numbers (the denominators) are the same.Subtract the top numbers (the numerators). Put the answer over the same denominator.<span>Simplify the fraction (if needed).
</span></span>
1. determine the defined range
2. write all numerators above the common denominator
3. remove parenthesis
4. collect like terms
5. multiply both sides by (2x+1) x (2x-1)
6. simplify the product
7. multiply parenthesis by -4
8. cancel equal terms
9. move constant to the right
10. add the numbers
11. divide both sides by 6
ANSWER: x = 11/6
