Cos(2θ) = cos²θ - sin²θ = (1-sin²θ)-sin²θ = 1-2(7/9)^2 = -17/81
Answer:
chemical, substance, different
Explanation:
This is what I would put... the question sounds rather open ended though. HTH :)
Answer
Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal?
Solution
Jaime’s goal is to average at least 280 miles per week for 4 weeks. If T is the total number of miles Jamie will bicycle for 4 weeks, then his goal can be represented symbolically by the inequality:T⁄4, or equivalently T ≥ 4(280). The total number of miles Jamie will bicycle during this time is the sum of the distances he has completed and has yet to complete. Thus T = 240 + 310 + 320 + x. Substituting this expression into the inequality T ≥ 4(280) gives 240 + 310 + 320 + x ≥ 4(280). Therefore, choice D is the correct answer.
Choices A, B, and C are incorrect because they do not correctly capture the relationships between the total number of miles Jaime will ride his bicycle (240 + 310 + 320 + x) and the minimum number of miles he is attempting to bicycle for the four weeks (280 + 280 + 280 + 280).
The number of different combinations of these items that you can make if you choose four (4) toppings is equal to 1.
<h3>How to calculate the combinations of these items.</h3>
In order to determine the combinations of these items that this person can make, we would use this mathematical model known as combination.
Mathematically, combination is calculated by using this mathematical equation:
<u>Where:</u>
- n is the total number of items.
- r is the number of times of choosing items.
<u>Given the following data:</u>
Let us assume you'll choose four (4) toppings.
Substituting the given parameters into the formula, we have;
⁴C₄ = 4/4
⁴C₄ = 1.
Read more on combination here: brainly.com/question/17139330
Answer:
The average speed would be 10 seconds.
Explanation:
Hope this helps:)
