Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths 
.
A 30-60-90 right triangle has side lengths 
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length 
. Therefore, 
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to 
. This means was multiplied by 
. This means that side c is 
.
9514 1404 393
Answer:
-140 feet
Step-by-step explanation:
The relation between speed, distance, and time can be written ...
distance = speed × time
distance = (28 ft/s)(5 s) = 140 ft
In 28 seconds, the skydiver changed position by 140 feet. Since the direction is presumed to be down (falling), the change in altitude is -140 feet.
All of them have the same answer of -8 except the last one.
Let's look at each answer choice's words per minute:
A) 320/8 = 40
B) 600/12 = 50
C) 350/10 = 35
D) 225/5 = 45
The fastest is 50 words/min which is B
Answer: 
Step-by-step explanation:
You need to analize all the information given in the exercise.
You know that the actual height of the T-rex on the projector lens is the following:
The height of the projected T-rex is:
Make the conversion from meters to centimeters:
Therefore, the scale factor will be:
Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:
