Answer: third option:
Explanation:![4( \sqrt[3]{16})^{2x}=4( \sqrt[3]{16^2})^x =4( \sqrt[3]{4^4} )^x=4(4 \sqrt[3]{4})^x](https://tex.z-dn.net/?f=4%28%20%5Csqrt%5B3%5D%7B16%7D%29%5E%7B2x%7D%3D4%28%20%5Csqrt%5B3%5D%7B16%5E2%7D%29%5Ex%20%20%3D4%28%20%5Csqrt%5B3%5D%7B4%5E4%7D%20%29%5Ex%3D4%284%20%5Csqrt%5B3%5D%7B4%7D%29%5Ex%20)
I used 16^2 = 4^4
Later, I used 4^4 = 4^3 . 4
Ex1) a. supplementary (angle A + angle B gives 180) b. neither c. complementary (angle A + angle B gives 90)
Ex2) An angle of 180° (since it makes a straight line)
Supplementary angles are any angles that give 180 in sum, so for example 90° and 9°
Two different ones could be 150 and 30, for example
2 complementary angles are any angles that give 90 in sum, so for example 45 and 45 or 50 and 40
Since we know that a straight angle is 180 (like in the picture), and we are given (in that straight angle) an angle of 90° (the left) and 55° (CED) we only need to find BEC. Again, since a straight angle gives 180°, we just need to sum all of these and get 180°:
90 + 55 + BEC = 180
145 + BEC = 180
BEC = 180 - 145
BEC = 35°
So the actual titanic was 882 feet and 9 inches long, and the model is 2 feet and 6 inches.
1.) Convert both the model and the real titanic to inches.
882 feet = 10584 inches (multiply 12) plus another 9 inches is 10593 inches
And for the model,
2 feet is 24 inches plus another 6 inches is 30 inches.
2.) Find the scale factor compared to the model and the actual thing.
The actual thing is 10,593 and the model is 30 inches. Divide 10593 by 30 to find the scale factor. You should get <span>353.1
</span>3.) Multiply the scale factor to the height.
Since we have the model height and the scale factor, to find the actual height we can just multiply the model height times the scale factor.
6 inches x 353.1 = <span>2118.6 inches
</span>That means the titanic's actual height is 2118.6 inches
4.) Round to the nearest inch.
Because the instructions say round to the nearest inch, we must round 2118.6 to the nearest inch.
You should get 2119 (because the 6 in the tenths place is greater than 4)
Our final answer is 2119 inches. :)
Answer: Convenience sample.
Step-by-step explanation:
Convenience sample is also known as grab or accident or opportunity samples. It is a example of non probability sample that involves selecting of subjects because of the proximity, convenience and accessibility a researcher as to them. This type of samples are not reliable for data gathering when it involves a very large sample space, let's say a global audience.