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Nady [450]
3 years ago
11

Find the area of the following shape. You must show all work to receive credit.

Mathematics
1 answer:
ra1l [238]3 years ago
5 0
Here a photo of the answer. The first thing you have to do is split the figure into separate shapes. Find the area of the shapes, then add them all together.

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What happened when a bunch of numbers got lost in the desert and spent years wandering from oasis to oasis?
Mars2501 [29]

Answer:

they became "roamin' numerals"

Step-by-step explanation:

4 0
3 years ago
Rick has 7 cats. Carrie has 14 cats. How many fewer cats does Rick have
guapka [62]

Answer:

He has 7 fewer cats because

Step-by-step explanation:

14-7=7

8 0
3 years ago
If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
7nadin3 [17]
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter

Hope this helped!
4 0
3 years ago
A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming ele
balandron [24]

Answer:

1.\ \ np\geq 10\\\\2.\ \ n\geq 10x

Step-by-step explanation:

-Let x be the sample size and n the population size

-The conditions for a one-sample proportion z-test are:

-The sample is randomly selected from the population.

-The sample size is greater than or equal to ten times the population size:

n\geq 10x\\\\n=2000\\x=150\\10x=1500\\\therefore n\geq 10x

-The expectation np is greater than or equal to 10:

np\geq 10\\n=2000, p=0.6\\np=1200\\\\Hence, np\geq 10

5 0
3 years ago
Point A is located at (−214,14). Point B is located at (234,14). What is the distance between point A and point B?
Sunny_sXe [5.5K]

Answer:

10, 14

Step-by-step explanation:

take the x values and plug into mid point formula and then divide by 2

so... (-214 + 234) divided by 2 = 10

do the same for the y values

so ... (14 + 14) divided by 2 = 14

so ... 10,14

7 0
2 years ago
Read 2 more answers
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