Answer:
9² = 40² + 41² - 2(40)(41) cos(C)
81 = 1600 + 1681 - 3280 cos(C)
81 = 3281 - 3280 cos(C)
-3200 = -3280 cos(C)
cos(C) = 3200 / 3280
cos(C) = 40 / 41
Step-by-step explanation:
<u>Let's take this problem step-by-step</u>:
<u>Let's first set up some variables</u>:
- c: # of children
- a: # of adults
<u>Let's examine the information given:</u>
- Elevator can hold a maximum of 1500 pounds
⇒ average child is 75 pounds
⇒ average adult is 150 pounds
⇒<em> therefore</em>: 
- Elevator can fit no more than 14 people
⇒ <em>therefore</em>: 
<u>Let's graph the equations</u>:

⇒ look at the image attached
<u>The point at which the two graphs intersect:</u>
⇒ <em>is the solution that represents the amount of children and adults and </em>
<em> their combine weight</em>
<em />
<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>
<em> ⇒ the </em><em>solution is 8 children and 6 adults</em>
<em></em>
<u>Answer: 8 children and 6 adults</u>
<u></u>
Hope that helped!
<em />
Which statement is not always true?(1) The product of two irrational numbers is irrational.
(2) The product of two rational numbers is rational.
(3) The sum of two rational numbers is rational.
(4) The sum of a rational number and an irrational number is irrational.
The statement that is not always true is the <span>sum of two rational numbers is rational. The answer is number 3.</span>
Answer:
1). Because whole number doesn’t allow decimal numbers.
2). Because whole number doesn’t allow negative numbers. It starts with 0, 1, 2, 3....
Hey there! :)
The answer is 80%
6 ÷ 30 = 0.2 = 20%
100 - 20 = 80
Hope this helped :)