When you divide by a fraction all you have to is multiply by the reciprocal. The reciprocal of 3/8 is 8/3.
<span>The real problem is 2/3 TIMES 8/3. Multiply the numerators across 2 X 8 = 16. Then multiply the denominators across 3 X 3 = 9. The answer is 16/9. If you need to simplify then the answer is 1 7/9.</span>
Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V = πr²h .... 2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
πr²(r+7) = πr²h
Divide both sides by πr²
πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>
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Answer:
Step-by-step explanation:
Given:
The above triangle
Required
Solve for AB in terms of a, b and angle C
Considering right angled triangle BOC where O is the point between b-x and x
From BOC, we have that:
Make h the subject:
Also, in BOC (Using Pythagoras)
Make 
the subject
Substitute 
for h
becomes
Factorize
In trigonometry:
So, we have that:
Take square roots of both sides
In triangle BOA, applying Pythagoras theorem, we have that:
Open bracket
Substitute and in
Open Bracket
Reorder
Factorize:
In trigonometry:
So, we have that:
Take square roots of both sides
This is your answer One pound of meat costs 3.50$. If the total is 244$, how many pounds of meat have you bought?
