Answer:
<h2>x = 61.6°</h2>
Step-by-step explanation:
To find the angle of depression we use cosine
cos∅ = adjacent / hypotenuse
37.4 is the hypotenuse
17.8 is the adjacent
Hope this helps you
Let x represent the shorter sides, then 2x + 1 would represent the longer sides. There are four short sides and two long sides. The perimeter is 162 cm. The equation: 4x + 2(2x + 1) = 162 4x + 8x + 2 = 162 8x + 2 = 162 Subtract 2 from both sides. 8x = 160 Divide both sides by 8. x = 20 The shorter sides are 20 cm in length. The longer sides are 2x + 1, or 41 cm in length. Check: 4 * 20 + 2 * 41 = 162 80 + 82 = 162 162 = 162, values check.
Answer:
n = -3
(second option listed)
Step-by-step explanation:
first, we will distribute the 11 (n-1)
11 (n - 1) + 35 = 3n
11n - 11 + 35 = 3n
Now, we will combine -11 and 35 (because they are like terms)
11n + 24 = 3n
Now, to isolate x as a positive, I will subtract 3n from both sides
11n + 24 = 3n
- 3n - 3n
8n + 24 = 0
Now, I will subtract 24 from both sides to isolate n
8n + 24 = 0
- 24 - 24
8n = -24
Now, we will divide both sides by 8 to find "n"
8n = -24
÷8 ÷8
n = -3
This means that n is equal to -3
(n = -3)
We conclude that the relation presented in the picture is a function with domain: - 4 ≤ x < 1 and range: - 4 ≤ x ≤ 5. (Correct choices: B, C, H)
<h3>How to determine the domain and range of a relation and if a relation is a function</h3>
Herein we have a relation between two variables, x and y, relations involve two sets: an input set called domain and an output set called range. A relation is a function if and only if every element of the domain is related to only one element from the range.
Graphically speaking, the horizontal axis corresponds with the domain, whereas the vertical axis is for the set of the range. According to the previous concepts, we conclude that the relation presented in the picture is a function with domain: - 4 ≤ x < 1 and range: - 4 ≤ x ≤ 5. (Correct choices: B, C, H)
To learn more on functions: brainly.com/question/12431044
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Answer:
800 people a year
Step-by-step explanation:
