NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹
Answer: $8470
Step-by-step explanation:
To solve this, you can substitute 4 for x:
Mikayla's scooter is worth around $8470 after 4 years.
It was originally worth 13,500 dollars and depreciated by 11% every year.
Answer:
Explanatory: amount of salt; Response: boiling temperature of the water
Step-by-step explanation:
The chef believes the amount of salt (x) is a predictor for the boiling temperature (y).
Answer:
The dependent variable is the shoe size
Step-by-step explanation:
Answer:
e. All of these statements are true.
Step-by-step explanation:
The first statement is true because an experiment is actually the process by which an observation is made. Consider rolling a die. It is called an experiment because we observe which side of the die lands facing upwards and that number is noted.
The second statement is also true because a simple event is the one which can not be further decomposed into an event. (Compound events can be decomposed into simple events).
The third statement is also true that an event is the collection of one or more simple events. An event can contain either simple events of compound events which are basically a combination of two or more simple events.
Hence, we can say that <u>all the statements are true</u>.
