Answer:
b=84
Step-by-step explanation:
from your equation, subtract 3969 from each side
you are left with b^2=7056
sqrt b^2 = sqrt 7056
b=84
Answer:
179.50
Step-by-step explanation:
The formula for calculating pi is as followed: 4/3·π·r³
The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.
∴V=4/3·3.14·3.5³
V=179.503333333
Round your answer to the nearest hundredth:
179.503333333 rounded to the nearest hundredth becomes 179.50
∴V=179.50
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Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.
V=π.4/3·r³
V=π·57.1666666667
Round 57.1666666667: 57.17
V=57.17π
Either one would work. Hope this works.
Rational numbers are B. sometimes natural numbers. Another way to say rational numbers is fractions. Natural numbers are just regular positive and whole integers, such as 1, 2, 3, etc.
The answer is (3, -7). If the function is written in the form y = a(x –
h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x
+ 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2
– 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8
* 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7.
The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k
= -7. Thus, the vertex is (3, -7).