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skelet666 [1.2K]
3 years ago
14

Eric has 158 action figures to put in display cases.each display case can hold 6 action figures.how many cases does Eric need to

hold all of his action figures?
Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0
It would need 27 display cases
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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
2 A and B please with explanation! BIG POINTS please explain
dedylja [7]

Answer:

see explanation

Step-by-step explanation:

Using the ratio equality for circles

\frac{arc}{C} = \frac{angleatcentre}{360}

(a)

Note the angle at the centre of the shaded arc is 360° - 90° = 270°, thus

\frac{45}{C} = \frac{270}{360} = \frac{3}{4} ( cross- multiply )

3C = 180 ( divide both sides by 3 )

C = 60 mm

(b)

Note the angle at the centre of the shaded arc is 360° - 135° = 225°, thus

\frac{3.3}{C} = \frac{225}{360} ( cross- multiply )

225C = 1188 ( divide both sides by 225 )

C = 5.28 cm

8 0
3 years ago
Write an iterated integral for ModifyingBelow Integral from nothing to nothing Integral from nothing to nothing Integral from no
coldgirl [10]

With the given order of integration, the interval over D is

\displaystyle \iiint_D f(x,y,z) \, dV = \int_{-3}^{3} \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int_{-\sqrt{9-x^2-z^2}}^{\sqrt{9-x^2-z^2}} f(x,y,z) \, dy \, dz \, dx

8 0
3 years ago
What is the solution to the equation x - 5 = 15?
Nonamiya [84]

Answer:

x=20

Step-by-step explanation:

x - 5 = 15

x +5 = +5

x = 20

4 0
2 years ago
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Which expression represents a factorization of 16a - 24ab
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I would choose A

You can simply try every answer and see which one gives you 16a-24ab

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