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2 years ago

Geometry question Help please! Thanks!

Mathematics

2 answers:

DaniilM [7]2 years ago

7 0

Answer:

$theta=47.33 degrees$

Step-by-step explanation:

sin theta=opposite/hyp

sin theta=500/680

theta in degrees=47.33

RUDIKE [14]2 years ago

7 0

Answer:

The angle is 47.33°

Step-by-step explanation:

We have the hypotenuse as 680 ft and the opposite side as 500 ft, so we can use sin as a way to find the angle:

sin θ = opposite side / hypotenuse

sin θ = 500 ft / 680 ft

sin θ = 0.7353

θ = sin^-1 (0.7353) [this is called inverse of sine]

θ = 47.33°

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aleksandr82 [10.1K]

Answer:

Domain: $[-1,\infty)$

Range: $(-\infty, 3]$

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Step-by-step explanation:

Given

$f(x) = -\sqrt{x + 1} + 3$ --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

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Solve for x

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To get the range, we plot the values of the domain in the expression.

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$f(-1) = -\sqrt{-1+1} +3$

$f(-1) = -\sqrt{0} +3$

$f(-1) = -0 +3$

$f(-1) = 3$

$x = \infty$

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$f(\infty) = -\sqrt{\infty}+3$

$f(\infty) = -\infty+3$

$f(\infty) = -\infty$

So, the range is: $(-\infty, 3]$

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

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