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°
The length of rectangle is: 17
Further explanation:
Given
Perimeter = 48
Let L be the length
Let W be the width
Then
Putting the value of L in perimeter
Putting W=7 in second equation
Hence,
The length of rectangle is: 17
Keywords: Perimeter of rectangle, Linear equations
Learn more about perimeter of rectangle at:
#LearnwithBrainly
First number=x+9
second number=4x
third number=x
4x+x+x+9=99
6x=90
x=15
first number=24
second number=60
third number=15
Answer:
Yes. (see below)
Step-by-step explanation:
First, find the slope of the line. You can do that by using the slope formula:
y2 - y1
m = ----------
x2 - x1
Now, choose any two points from the line to plug in. I'm using the points (0, 3) and (2, 4).
4 - 3
m = ------
2 - 0
1
m = --- = 1/2
2
Now, to simplify your situation, you can use the slope-intercept formula. To use this, you first need to find the slope and y-intercept.
The y-intercept is where the line meets the y-axis, which is (0, 3), so the y-intercept is 3.
Now, plug them in:
y = mx + b
y = 1/2x + 3
To see if a specific point is on this line—which, in this case, is (20, 13), plug them in and simplify to see if it's true:
13 = 1/2 (20) + 3
13 = 10 + 3
13 = 13
This is true, so the point (20, 13) is on this line.
13-7 = 6 so that means 6 + 4 would make it ten