Answer: The answer is (D) Reflection across the line y = -x.
Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.
(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.
(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.
(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.
(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.
Thus, the correct option is (D).
Let's attack this problem using the z-score concept. The sample std. dev. here is (0.25 oz)/sqrt(40), or 0.040. Thus, the z score representing 3.9 oz. is
3.9 - 4.0
z = -------------- = -2.5
0.040
In one way or another we must find the area under the std. normal curve that lies to the left of z = -2.5. Use a table of z-scores or a calculator with built-in statistics functions. According to my TI-83 Plus calculator, that area is
0.006. One way of interpreting this that with so small a standard deviation, most volumes of coffee put into the jars are very close to the mean, 4 oz.
The answer to the question
The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
<h3>How to find the volume of the composite figures?</h3>
To find the volume of the composite figures, follow the steps listed below:,
- Separate the figure.
- Calculate the volume of each figure by which the composite figure is made of.
- Add the volume of all the individual figures to get the total volume of composite figures.
A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:
The volume of the room is:
V=length x width x height
V=40 x 40 x 30
V=48000 ft³
The volume of the entire house, including the roof, is,
V=10667+48000
V=58667 ft³
Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
Learn more about the volume of composite figures here;
brainly.com/question/1205683
#SPJ1
Answer:
40.5
Step-by-step explanation:
i multiplied 30 with .25 which was 7.5
then i multiplied 30 with .1 which was 3
add those together 10.5
add that too 30 which is 40.5
