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3 years ago

A ramp 60 m long rises a vertical distance of 8m find the measure of the angle of elevation to the nearest degree

Mathematics

1 answer:

g100num [7]3 years ago

7 0

480m I believe I’m not particularly good at math but I think that should be the answer

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A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel

frutty [35]

Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

6 0

3 years ago

(6+3)4 I don't understand what it means I really need some help

Over [174]

Answer:

Step-by-step explanation:

Hullo :D

If you're having trouble understanding, you might not understand the Order of Operations.

P - Parenthesis. Solve what's inside the Parenthesis first

E - Exponents. Solve for Exponents second.

M - Multiply. Multiply numbers third. (left - to - right with division, too)

D - Divide. Divide fourth. It is interchangeable with multiplication, as well.

A - Addition. Add fifth.

S - Subtract sixth. It is interchangeable with Addition, as well.

With that in mind, all we need to do is identify these types in the equation:

(6+3)4

We see parenthesis. We will solve them first according to the Order of Operations:

6 + 3 = 9.

(9)4

We see multiplication. We solve them next according to the Order of Operations:

9 × 4 = 36.

Thus, the final answer is $\boxed{36}$ .

Hope this helps!

4 0

3 years ago

Which is an asymptote of the graph of the function y = cot ( x - 2pi / 3 )

vesna_86 [32]

$\bf y=cot\left(x-\frac{2\pi }{3} \right)\implies y=\cfrac{cos\left(x-\frac{2\pi }{3} \right)}{sin\left(x-\frac{2\pi }{3} \right)}$

now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that

$\bf sin\left(x-\frac{2\pi }{3} \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3} \right) \right]=sin^{-1}(0)
\\\\\\
x-\frac{2\pi }{3}=
\begin{cases}
0\\
\pi 
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{2\pi }{3}\\
\frac{5\pi }{3}
\end{cases}$

now, at those angles, the function is asymptotic, check the picture below