Answer:
Angle of elevation = 21.167°
Step-by-step explanation:
Given:
Horizontal distance cover by rover = 180 m
Vertical distance cover by rover = 65 m
Find:
Angle of elevation
Computation:
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
⇒ Sin θ = Vertical distance cover by rover / Horizontal distance cover by rover
⇒ Sin θ = 65 / 180
⇒ Sin θ = 0.3611
⇒ Sin⁻¹ (0.3611) = 21.167°
Angle of elevation = 21.167°
We can express Benjamin's age with x, we can express Luca's age as y.
x-6=2y
So, if x=12
2y=6
y=3
Therfore, Lucas is 3 years old
B .35 line the numbers up by the decimals then go from top to bottom starting from each individual column.
The mathematical word describing both 
and 
in the expression 
is "<u><em>addition</em></u>"
<h3>How to form mathematical expression from the given description?</h3>
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case, the terms were and and the expression formed from them is
This means both the terms were added together, as denoted by '+' (called 'plus') sign.
When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.
Thus, the mathematical word describing both and in the expression is <u><em>addition</em></u>"
Learn more about addition here:
brainly.com/question/14148883
Answer: y= (x+2)² −
5
Step-by-step explanation:
The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal − 1x² and add to 4x. There aren't any, which means it is not factorable.
Hope I helped
