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kiruha [24]
2 years ago
7

A class of students were asked about their favourite genres of films.

Mathematics
1 answer:
Ksivusya [100]2 years ago
6 0

so sorry I don't know

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At 12:45 Jimmy left his home in Pinetrees and cycled to visit his grandmother in Oakville. On his
olchik [2.2K]

t=45min
d=4km

45min/60min = 0.75 hours

v=d/t
v=4km/0.75hours
v=5.33km/hour. So the answer is B. 45 minutes.
8 0
3 years ago
2sin^2 2x=2<br><br> In the domain [0,2pi)<br><br> What can x equal ( in radians).
lions [1.4K]
Bear in mind that, when it comes to trigonometric functions, the location of the exponent can be a bit misleading, however recall that sin²(θ) is really [ sin( θ )]²,


\bf 2sin^2(2x)=2\implies sin^2(2x)=\cfrac{2}{2}&#10;\\\\\\&#10;sin^2(2x)=1\implies [sin(2x)]^2=1\implies sin(2x)=\pm\sqrt{1}&#10;\\\\\\&#10;sin(2x)=\pm 1\implies sin^{-1}[sin(2x)]=sin^{-1}(\pm 1)

\bf \measuredangle 2x=sin^{-1}(\pm 1)\implies \measuredangle 2x=&#10;\begin{cases}&#10;\frac{\pi }{2}\\\\&#10;\frac{3\pi }{2}&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;\measuredangle 2x=\cfrac{\pi }{2}\implies \measuredangle x=\cfrac{\pi }{4}\qquad \qquad \qquad \qquad \measuredangle 2x=\cfrac{3\pi }{2}\implies \measuredangle x=\cfrac{3\pi }{4}
3 0
3 years ago
Find the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. J(2,
MAVERICK [17]

Applying a dilation centered at the origin with scale factor k has the effect of multiplying both coordinates of a point by k:

(x,y)\mapsto (kx,ky)

So, in your case, the coordinates of the points double:

J'=(4,8),\quad K'=(8,8),\quad P'=(6,4)

4 0
3 years ago
The difference of two numbers is 15. The larger number is 1 more than 3 times the smaller number. What are the two numbers?
loris [4]

Answer:

<em>7, 22</em>

Step-by-step explanation:

Let S = the smaller number.

"The larger number is 1 more than 3 times the smaller number."

The larger number is 3S + 1.

The difference between the numbers is 15, so the larger number minus the smaller number equals 15.

3S + 1 - S = 15

2S + 1 = 15

2S = 14

S = 7

The smaller number is 7.

larger number = 3S + 1 = 3(7) + 1 = 21 + 1 = 22

The larger number is 22.


5 0
3 years ago
A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is
BartSMP [9]

Answer:

it should be D

Step-by-step explanation:

6 0
3 years ago
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