Always decreasing is the answer
Answer:
<h2>cos 60° = 1/2 because the angles are complements</h2>
Step-by-step explanation:
Given sin 30° = 1/2, to check which of the statements is correct we will apply the Pythagoras theorem to a right angled triangle shown in the attachment.
using the SOH CAH TOA trig identity on the right angled triangle, ACD gotten from the equilateral triangle ABC;
From ΔACD, AD is the hypotenuse, DC is the opposite side to the angle 30° and AC is the adjacent.
From the diagram, sin30° = opp/hyp = DC/AD
sin30° = 1/2
Taking consideration of the acute angle 60°, the opposite side to the angle will be AC and the adjacent side will be CD.
According to CAH, cos 60° = adj/hyp = CD/AD
Given CD = 1 and AD = 2
cos60° = 1/2
This shows that sin30° = cos60° = 1/2
Note that ∠CDA and ∠DAC are angles complementary. Complementary angles are angles which have its sum to be 90°
Answer: a) $204 b) $331.50
Step-by-step explanation: a) 17 x 12 b) 17 x 19.5 (Sorry, I can't do a diagram, you have to do it by yourself...)
Answer:
b. 21
Step-by-step explanation:
The first five mutiples of 7 are:<em> 7, 14, 21, 28, 35. </em>You can get these by multiplying 7 to any integer.
- 7x1 = 7
- 7x2 = 14
- 7x3 = 21
- 7x4 = 28
- 7x5 = 35
In order to get the average of these numbers, you have to add them and divide the sum to the total number of multiples.
Let's add first.
7+14+21+28+35 = 105
Let's divided 105 by 5, which is the number of the multiples of 7.
105÷5 = 21
<em>The answer is 21.</em>