Here x^3-27=0 can be written as
x^3=27 and it also can be,
x^3=3^3
then on comparing both we got ,
x=3..
Hope it will satisfy you
In standard form, it would look like this:
4125 * 1000
This would be 4,125,000
To determine if 1/3 and 4/12 are equivalent fractions, you can either simplify 4/12 or raise 1/3. I'm going to explain with an example. So we have 1/8 and 3/24. I usually make the denominators (The lower number of the fraction) the same. To do that i multiply 8 by which ever number i think will calculate to 24. So 8 times 3 is 24. So i would change the number 8 to the number 24. But what you do to the bottom you HAVE to do to the top. So i multiplied the number 8 by 3 to get 24. No i am going to multiply the top of 1/8 (which is 1, or the numerator) by 3. And 1 times 3 is 3. And that gives me 3/24. It equals the second fraction, so 1/8 and 3/24 is equivalent.
So taking your fractions, 1/3 and 4/12, we just see how many times 3 goes into 12. Or what times 3 equals 12. That is 4. So what we do to the bottom we MUST do to the top, right? So we multiply 1 by 4. That gives us 4. So 1/3 changed into 4/12. So our first fraction is now 4/12 and our second fraction is also 4/12. So they are equivalent! Hope this helped <span />
Answer:
55.95 ft²
Step-by-step explanation:
Circumference formula: C = 2πr => r = C / (2π)
Area formula: A = πr²
Substituting C / (2π) for r in the above equation, we get:
C 47 ft
A = π( ----------- )² = π ( -------------- )²
2π (2π)
or ...
π(47 ft)² 2209 ft²
A = ---------------------- = -------------------- = 55.95 ft²
4π² 4(3.14159)²
Answer: the sum invested = $600
<u>Step-by-step explanation:</u>
Interest (I) = Principal (P) × rate (r) × time (t)
Original amount: I = P × r × 3
Increased by 1%: I + 18 = P × (1+ .01)r × 3
Substitute I with Prt and set the equations equal to each other to find r:
3Pr + 18 = 3.03Pr
Solve for Pr:
18 = 0.03Pr
<u> ÷0.03</u> <u>÷ 0.03 </u>
600 = Pr
