Answer:
C
Step-by-step explanation:
The triangle inequality theorem tells us that if two sides of a triangle are known (let it be side a and b), we can know the length of range of third side (side c). By:
a-b< c < a+b
So sides are given 29 and 40.
Sum is 29 + 40 = 69
Difference is 40 - 29 = 11
Hence, the third side would be BETWEEN 11 and 69
C is the correct choice.
Answer:
x > -
or x > -2.4
Step-by-step explanation:
-9x > 9 + 3(-
x + 1) - 3x
-9x > 9 -x + 3 - 3x
-9x > 12 - 4x
-5x > 12
x > - or x > -2.4
Answer:
<em>Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Is the smallest positive number that is a multiple of two or more numbers. To find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.
Since Henry wants to buy the same number of gift bags and bows and they are sold in packs with different quantities, we must find the LCM between those numbers.
Gift bags are sold in packs of 6. Bows are sold in packs of 9.
List the prime factors of 6: 2,3
List the prime factors of 9: 3,3
Multiply: 2*3*3=18
The LCM is 18. This means Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.
Answer:
The sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of $15?and $1000 in fixed cost is 240
Step-by-step explanation:
Given:
Net income= $5000
sales price= $40
variable cost =$15 and $1000
To Find:
sales of volume V=?
Solution:
We Know that
Where x= number of units sold
Similarily,
Substituting the known values,
Sloving the equation,
We are given with the expression <span>tan2x / x</span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. The answer is zero over zero. This is indeterminate so we derive the terms accdg to L'hopital's rule. The derivative is 2 sec^2 2x/1. cos 2x is 1 so is sec^2 2x. Hence the answer is 2.
