Cos30 = sin(90 - 60) = √3/2, because cos and sin are complements
cos120 = cos(180 - 60) = -cos60 = -1/2
C.the ant would be the most likely thing to have a mass of three grams.
The number of 3¢ stamps that are in the collection is: 22.
<h3>What is an expression?</h3>
An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In this exercise, you're required to determine the number of 3 cents (3¢) . Therefore, we would translate the word problem into an algebraic expression and then evaluate it as follows:
<u>Note:</u> 100 cents (¢) is equal to 1 dollar ($).
A collection of stamps consists of 3¢ stamps, 5¢ stamps and 7¢ stamps; 3¢ + 5¢ + 7¢ = 194
6 more 3¢ stamps than 5¢ stamps; 3¢ = 5¢ + 6 ⇒ 5¢ = 3¢ - 6
Two more 7¢ stamps than 3¢ stamps; 7¢ = 3¢ + 2
Combining the above equations, we have:
3¢ + 3¢ - 6 + 3¢ + 2 = 194
9¢ = 198
¢ = 198/9
¢ = 22.
Read more on expressions here: brainly.com/question/17361494
#SPJ1
<u>Complete Question:</u>
A collection of stamps consists of 3¢ stamps 5¢ stamps and 7¢ stamps. There are 6 more 3¢ stamps than 5¢ stamps and two more 7¢ stamps than 3¢ stamps. The total value of the stamps is $1.94. How many 3¢ stamps are in the collection?
For each of these problems, remember SOH-CAH-TOA.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.
6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.
7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.
8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.
Hope this helps!
Answer:1. 7 2. 
Step-by-step explanation:
1. 
= 7
2. ( doesn't have any simplest radical form)
