<h3>
Answer: 81</h3>
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Work Shown:
a = first term
a*(2/3) = (2/3)a= second term
(2/3)a*(2/3) = (4/9)a = third term
note how I multiplied each previous term by the common ratio (2/3) to get the next term
Add up the three terms
a + (2/3)a + (4/9)a = (9/9)a + (6/9)a + (4/9)a = (19/9)a
Set this equal to 171, which is what we want the first three terms to sum to, then solve for 'a'
(19/9)a = 171
a = (9/19)*171
a = 81 is the first term
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Checking the answer:
a = 81 = first term
(2/3)*a = (2/3)*81 = 54 = second term
(4/9)*a = (4/9)*81 = 36 = third term
adding up the three terms gets us
81+54+36 = 171
so we have confirmed the answer
Answer
given radicals
convert them into simplest radical form
a) √49
√49 = \sqrt{7\times 7}
= 7
b) ∛40
∛40 = ![\sqrt[3]{2\times 2\times 2\times 5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%5Ctimes%202%5Ctimes%202%5Ctimes%205%7D)
= 2 ∛5
c) √242
√49 = \sqrt{2\times 11\times 11}
= 11 √2
hence the number are converted into simplest radicals or rational form.
Answer: 3.83m^3
Step-by-step explanation:
Use formula for volume of a triangular prism (Area of triangle times length of the figure)
A third of 18 is 18÷3=6
The answer is 6
ANSWER
x = 1.2226
EXPLANATION
To solve this equation we have to apply the property of the logarithm of the base,
Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,
Now we apply the property of the logarithm of a power,
In our equation,
Then divide both sides by 4 and solve,
The solution to this equation is x = 1.2226, rounded to four decimal places.
