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Mathematics

1 answer:

MakcuM [25]3 years ago

4 0

Every function associates input values with output values. The domain of a function is the set of all the inputs the function accepts.

You will basically always find your function graphed with the inputs on the horizontal axis and the outputs on the vertical axis. This means that every point on the graph has coordinates $(x,f(x))$ , and the domain is the set of all the x values.

The points on your red line have all coordinates $(d,70)$ , where d starts from 0 and ranges up to 12. So, the domain of the function is $[0,12]$

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PLS ANSWER WILL MARK BRAINLIST

andreyandreev [35.5K]

Answer:

72 degrees

Step-by-step explanation:

Slope

y=-(7/8)x+105

plug in 72 for the y

72=-(7/8)x+105

-177=-(7/8)x

72 = x

6 0

2 years ago

Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle

Sindrei [870]

The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

<h3>How can the distance between Vic and Dan be calculated?</h3>

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

$tan( \theta) = \frac{opposite}{adjacent}$

$tan( 61 ^{ \circ}) = \frac{553.3}{ Vic' s\: distance \: to \: tower}$

$distance = \frac{553.3}{tan ( {61}^{ \circ} )} = 306.7$

Vic's distance from the tower ≈ 306.7 m

Similarly, we have;

$Dan's distance = \frac{553.3}{tan ( {72}^{ \circ} )} = 179.8$

Dan's distance from the tower ≈ 179.8 m

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan <em>d </em>is found as follows;