Note that this is a right triangle, and that the length of the hypotenuse (17) is given, as is one of the acute angles (30 degrees). We need to determine the length of the "adjacent side," that is, the side of the triangle adjacent to the 30 degree angle. Which of the 6 trig functions relates the 30 degree angle, the length of the hypo. and the length of the adj. side?
cos theta = (adjacent side) / (hypotenuse)
Then cos 30 degrees = x / 17 units, or (17 units) cos (30 degrees) = x
Use your calculator to find the value of cos 30. Multiply your result by (17 units).
The result is your answer (the length of the horiz. side, DF).
C
work:
75 is equal to 2x+15
75-15 = 60
60/2 = 30
x=30
We have been given that Micah is buying items for a birthday party. He wants to use the same amount of each item. We are asked to find the least number of packages of cups he needs to buy (6 cups in each bag and 8 plates in each bag).
To find the least number of packages of cups, we need to find least common multiple of 6 and 8.
Multiples of 6: 6, 12, 18, 24, 30,....
Multiples of 8: 8, 16, 24, 32, 40, 48,.....
We can see that least common multiple of 6 and 8 is 24.
Now we will divide 24 by 6 to find number of packages of cups that Micah needs to purchase.
Therefore, Micah needs to buy 4 packages of cups at least.
Answer:
<h3>1. x = 15° | y = 120°</h3><h3>2. x = 4.5 | y = 60°</h3>
Step-by-step explanation:
1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )
2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.
Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )