Answer:
1. AC = 5 cm
2. CD = 10.7 cm
Step-by-step explanation:
Looking at the left triangle, we see that AC is the side "opposite" of the angle given and AB is the "hypotenuse".
Which trigonometric ratio relates "opposite" to "hypotenuse"?
<em>Yes, that's SINE.</em>
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So we can write:
We know from 30-60-90 triangle, Sin(30) = 0.5, so we have:
Thus,
AC = 5 cm
Now, looking at right side triangle, we know AC, side "opposite" and we want to find CD, side "adjacent". Which trig ratio relates these 2 sides?
<em>Yes, that's tan!</em>
Thus we can write:
Now using calculator, we get our answer to be:
CD = 
So
CD = 10.7 cm
Answer: The answer is (b) 
Step-by-step explanation: The equation of a straight line in slope-intercept form is given by
where, 'm' is the slope and 'c' is the y-intercept of the straight line.
The equation of the given line EF is
Here, slope, m=2 and y-intercept, c=1.
Since our new line is parallel to the given line, so the slope of the new line=m=2.
So, let the equation of the new line be
Now, since the line passes through the point (0,2), so
Thus, the equation of the new line parallel to line EF will be
The correct option is (b).
A. Reflected across the y-axis and translated one unit down
B. Rotated 90 degrees clockwise
Answer:
As e is point between df. So we can write df as
df = de + ef
As given df = 78 , de = 5x - 9 , ef = 2x + 10.
So we can write
78 = 5x - 9 + 2x + 10
78 = 7x + 1
On subtracting 1 on booth side
78 - 1 = 7x +1 - 1
77 = 7x
On dividing both side by 7.
11 = x
So x = 11.
So ef = 2x + 10 = 2*11 + 10 = 22 + 10 = 32
Step-by-step explanation:
Answer:
Y= -5x+2
Step-by-step explanation:
y= mx+b where M represent the slope aka X intercept. B represent the initial value aka Y intercept. Hope it help!
