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Sonja [21]
2 years ago
15

Select all the ways the rectangle could have been rotated to get from Frame 1 to Frame 2. 40 degrees clockwise 40 degrees counte

rclockwise 90 degrees clockwise 90 degrees counterclockwise 140 degrees clockwise 140 degrees counterclockwise Lesson 3
Mathematics
1 answer:
Klio2033 [76]2 years ago
8 0

Answer:

40 degrees clockwise

140 degrees counterclockwise

Step-by-step explanation:

The rectangle is rotated in Figure B. The angle of rotation is 40 degrees. If we rotate a rectangle at an angle of 40 degrees clockwise then wit will be at the position as shown in figure B. The 90 degrees angle is perpendicular angle. Rectangle will not reach the desired position. If we rotate the rectangle at 140 degrees counterclockwise this will be the figure B representation. The rotation to 90 degree counterclockwise is either not suitable for the desired rectangle position.

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The cross section of rectangular prism A measures 3 units by 2 units. The cross section of triangular prism B has a base that me
mamaluj [8]

Answer:

Volume A= one third

Step-by-step explanation:

Use volume B

6 0
2 years ago
Choose the function whose graph is given by:
loris [4]
<h2>Answer:</h2>

y=3sec\left(\frac{1}{2}x\right)

<h2>Step-by-step explanation:</h2>

The graphs of sec(x) can be obtained from  the graph of the cosine function using the reciprocal identity, so:

sec(x)=\frac{1}{cos(x)}

But in this problem, the graph stands for the function:

y=3sec\left(\frac{1}{2}x\right)

Because the period is now 4π as indicated and for x=0 in the figure and this can be proven as follows:

Period=\frac{2\pi}{\frac{1}{2}}=4\pi

Also, for \ x=1 \ then \ y=3 as indicated in the figure and this can be proven as:

y=3sec\left(\frac{1}{2}x\right) \\ \\ y=\frac{3}{cos(0.5x)} \\ \\ y=\frac{3}{cos(0.5(0))} \\ \\ y=\frac{3}{1}=3

5 0
2 years ago
In a regular pentagon ABCDE prove that AC = BE.​
Thepotemich [5.8K]
All angles add up to the same degree
4 0
2 years ago
some species of bacteria can copy their DNA and divide every 40 minutes. If a COLONY of 100 of these such bacteria begins with a
VikaD [51]

Answer:

The answer is 51,200 bacterium.

Step-by-step explanation: So you need to figure out the time between 12 and 6pm, then divide it by 40. 12-6 is 360 minutes, you divide by 40 and you get 9 divisions. Multiply the 100 x 2=200, 200 x 2 =400, and so on for 9 times.

You get a result of 51,200 bacterium.

8 0
1 year ago
A sample of an unknown chemical element naturally loses its mass over time. The relationship between the elapsed time ttt, in mo
Naddik [55]

Answer:

Step-by-step explanation:

Given a sample M(t)

M(t) = 120 • ( 81 / 625)^t

When is the fraction of the mass decay to 3/5 of it's mass

Generally

M(t) = Mo•(k^t)

The original mass is 120

Mo = 120

So, we want to find time when it decay to 3/5 of it's original mas

M = 3/5 × 120

M = 72

Then,

M(t) = 120 • ( 81 / 625)^t

72 = 120 • ( 81 / 625)^t

72 / 120 = ( 81 / 625)^t

0.6 = ( 81 / 625)^t

Take natural logarithmic of both sides

In(0.6) = In(81/625)^t

In(0.6) = t•In(81/625)

t = In(0.6) / In(81/625)

t = In(0.6) / In(0.1296)

t = 0.25 monthly

t = ¼ monthly

6 0
2 years ago
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