The volume of a sphere is:
V=(4pr^3)/3 so the initial volumes is:
Vi=(4p*4.5^3)/3=121.5p in^3 (before match, approx 381.7 in^3)
Vf=(4p*4.4^3)/3=340.736p/3 (after match, approx 356.8 in^3
Vf-Vi=24.9 in^3
So the ball lost about 24.9 in^3 of air during the match...
Answer:
Step-by-step explanation:
<u><em># 21.</em></u>
÷ ( - 0.35 ) = - ÷ = - ÷ = - × = - <em>(B).</em>
<u><em># 22.</em></u>
( - ) ÷ ( - 2.5 )
= = 3.5
= = = 9.75
( 3.5 - 9.75 ) ÷ ( - 2.5 ) = ( - 6.25 ) ÷ ( - 2.5 ) = 2.5 <em>(D).</em>
Answer: hi again sin is opposite/hypotenuse, therefore the answer is 5/sqrt41 (unrationalized) then rationalize it we get 5*sqrt 41
--------------
41
that was suppose to be a fraction line
*I do not know 100% your teacher's rules about if you have to rationalize square root fractions but if you do the second answer is your final answer
Answer:
Step-by-step explanation:
We can use the Rational Root Test.
Given a polynomial in the form:
Where:
- The coefficients are integers.
- is the leading coeffcient ()
- is the constant term
Every rational root of the polynomial is in the form:
For the case of the given polynomial:
We can observe that:
- Its constant term is 6, with factors 1, 2 and 3.
- Its leading coefficient is 2, with factors 1 and 2.
Then, by Rational Roots Test we get the possible rational roots of this polynomial: