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3 years ago

Peak Cinema has 10 theatres.

Mathematics

1 answer:

Ann [662]3 years ago

6 0

Answer:

$\boxed{ \text{953 seats}}\\$

Step-by-step explanation:

Five of Peak Cinema's theatres are medium-sized (98 seats) and five are small (half of 98 = 49 seats).

Their total number of seats is

5 × 98 + 5 × 49 = 490 + 245 = 735 seats

Add the separate iMax theatre and the total capacity of the complex becomes

735 + 218 = 953 seats

$\boxed{ \textbf{The entire movie theatre complex has 953 seats.}}\\$

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rusak2 [61]

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3 years ago

Alan is connecting three garden hoses to make one longer hose.The green hose is 6.25 feel long the orange hose is 5.755 feet lon

nevsk [136]

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3 years ago

Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4

nasty-shy [4]

Part a)

a) The given function is

$f(x) = 3 \sin(2x)$

We let

$y = 3 \sin(2x)$

Interchange x and y.

$x= 3 \sin(2y)$

Solve for y;

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$y = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

${f}^{ - 1}(x) = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

$- 3 \leqslant y \leqslant 3$

This is because the function is within y=-3 and y=3.

c) The range of

${f}^{ - 1} (x)$

$- \frac{ \pi}{4} \leqslant y \leqslant \frac{\pi}{4}$

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

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3 years ago

Given a circle with a radius of 2, which is the length of an arc measuring 75 degrees?

WARRIOR [948]

$\bf \textit{arc's length}\\\\
s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
\theta=\textit{angle in degrees}\\
r=radius\\
---------\\
r=2\\
\theta=75
\end{cases}\implies s=\cfrac{2\cdot 75\cdot \pi }{180}$

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3 years ago

If 5 out of 30 students scored an A on a quiz.what percent did not get an A on the quiz?Round to the nearest whole percent.

Inessa [10]

Answer:

83 %

Step-by-step explanation:

If 5 out of 30 got an A, that means that

30 -5 = 25

25 out of 30 did not get and A

25/30 = .8333333 = 83.33333 %

Rounding to the nearest whole percent

83 %

8 0

1 year ago