By definition of
, we have

and we deduce

Now, recall that the diameter is twice the radius:

and solve for
:

So, divide the circumference by
and you'll find the radius.
X^3 - 21x = -20
add 20 to both sides
x^3 - 21 x + 20 = 0
Rational Root Theorem:
Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20
-------------------------------
Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.
Answer:
mentally "cut" the two different figures where they connect and find the area separately and then add them together:
4*15 = 60
11*10= 110
110+60= 170 sq mm
Step-by-step explanation:
i hope this helped :)
Answer:
0.03
Step-by-step explanation:
We have been given that a $75,000 loan requires $1,875 in discount points to be paid by seller and $375 in discount points to be paid by the buyer.
First of all, we will add the seller discount points and buyer discount points.

Now, we will divide sum of discount points by total loan amount to find the total discount points as:


Therefore, total discount points would be 0.03.
Answer:
Luis missed at least 6 questions.
Step-by-step explanation:
Luis missed more than twice as many as David (who missed 3 questions).
Luis missed more than 6 questions, or at least 6 questions.