Answer: -97
Step-by-step explanation:
Answer:
Translate ABCD down 1, then reflect it over the y-axis
and
Reflect ABCD over the y-axis, then translate down 1
Step-by-step explanation:
First of all, the two steps are the same, just in a different order
Second, if you look at the instructions you can see what would happen to the quadrilateral. Reflecting over the y-axis would make the shape flip horizontally (left to right), as shown in the image. This means the points on the left move to the right, and the points on the right move to the left. Top and bottom points stay the same. And the "translation" just means to slide. In both the answers, it says "translate 1 unit down", which just means "move 1 unit down", which is exactly what happens in the image
Answer:
321.68feet
Step-by-step explanation:
Given the following
Top of the house above the sea level = 150feet = opposite
Angle of elevation = 25°
Required
Distance from the boat to the base of the house(adjacent)
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 25 = 150/d
d = 150/tan25
d = 150/0.4663
d = 321.68
Hence the required distance is 321.68feet
The question is missing the figure. So, it is in the atachment.
Answer: MN = x
LN = 
Step-by-step explanation: The first figure in the attachment is the figure of the question. The second figure is a way to respond this question by tracing the altitude from M to LN as suggested. When an altitude is drawn, it forms a 90° angle with the base, as shown in the drawing. To determine the other angle, you have to remember that all internal angles of a triangle sums up to 180°.
For the triangle <u>on the left</u> of the altitude:
45+90+angle=180
angle = 45
For the triangle <u>on the right</u>:
30+90+angle=180
angle = 60
With the angles, use the Law of Sines, which is relates sides and angles, as follows:

For MN:

MN = 
MN = x
For LN:

LN = 
We can determine sin (105) as:
sin(105) = sin(45+60)
sin(105) = sin(45)cos(60) + cos(45)sin(60)
sin(105) = 
sin(105) = 
LN = 
LN = 
LN = 
The expressions for:
MN = x
LN = 