Answer:
36
Step-by-step explanation:
Answer:
D. 19/20 mile
Step-by-step explanation:
Combine the fractions by finding a common denominator.
1/5 --> 4/20
1/4 --> 5/20
1/2 --> 10/20
4 + 5 + 10 = 19
19/20
Maria walked 19/20 of a maile
To find the height of the lighthouse, use

to get that h = 14 (the tangent of 45 is 1). Now for the next question, you have to use the height you just solved for to find angle y. Use

and the inverse tangent button on your calculator tells us that the angle is 28.3. Now for the last question, use the supplement of 45 to get that the angle adjacent to y is 135. 180 - 135 - 28.3 = 16.7 That's your x value.
The expression of the translated function g(x) is gotten as; g(x) = 2x² - 3
<h3>How to Interpret Graph Translations?</h3>
We are given the function;
f(x) = 2x² + 3
Now, when we translate a function f(x) downwards, the new function becomes;
g(x) = f(x) - a
where a is the amount of units by which the graph was translated.
Thus for translation of 6 units vertically downwards;
g(x) = 2x² + 3 - 6
g(x) = 2x² - 3
Read more about Graph Translations at; brainly.com/question/26238840
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F(5)= 17
We want to plug in 5 for x into the equation.
f(x) = 3x +2
f(5) = 3(5) +2
=15 +2
=17