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Firlakuza [10]
3 years ago
13

3) Which rule gives a repeating pattern that has a circle as the 18th shape? O Circle, Square O Circle, Square, Triangle Triangl

e, Square, Circle O Circle, Triangle, Square, Square 4) The rule is "Short, Tall, Medium." What are the next three items? *​
Mathematics
1 answer:
postnew [5]3 years ago
4 0

9514 1404 393

Answer:

  3) b; (C, S, T, T, S, C)

  4) Short, Tall, Medium

Step-by-step explanation:

3)

(a) Each odd-numbered item is "Circle", so the 18th item will be "Square"

(b) The 1st and 6th items are "Circle", and the sequence is 6 items long. The last item in the 3rd repetition will be the 18th item: "Circle". This rule gives the desired 18th item.

(c) "Circle" is the first of a 4-item sequence. The 18th item will be the second item in the 5th repetition, so will be "Triangle".

__

4) We presume the given 3 items are repeated, so the next 3 items will be the same: Short, Tall, Medium.

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If 12 men are needed to run 4 machines. How many men are needed to run 20
Harrizon [31]

Answer:

<h2><u><em>60</em></u></h2>

Step-by-step explanation:

If 12 men are needed to run 4 machines. How many men are needed to run 20

we can solve with an equation

12 : 4 = x : 20

x = 12 * 20 : 4

x = 240 : 4

<u><em>x = 60</em></u>

<u><em>----------------------------</em></u>

check

12 : 4 = 60 : 20

3 = 3

<u><em>the answer is good</em></u>

5 0
2 years ago
Solve sin^4(x)+cos^4(x)=cos4x
ICE Princess25 [194]
\sin^4x=(\sin^2x)^2=\left(\dfrac{1-\cos2x}2\right)^2=\dfrac{1-2\cos2x+\cos^22x}4
\cos^4x=(\cos^2x)^2=\left(\dfrac{1+\cos2x}2\right)^2=\dfrac{1+2\cos2x+\cos^22x}4

\implies \sin^4x+\cos^4x=\dfrac{2+2\cos^22x}4=\dfrac{1+\cos^22x}2

\cos^22x=\dfrac{1+\cos4x}2
\implies\sin^4x+\cos^4x=\dfrac{1+\frac{1+\cos4x}2}2=\dfrac{3+\cos4x}4

So the equation reduces to

\dfrac{3+\cos4x}4=\cos4x
\dfrac34=\dfrac34\cos4x
\cos4x=1

We have \cos\theta=1 whenever \theta=0+2k\pi=2k\pi, where k is any integer. This means for this equation we have solutions at

4x=2k\pi\implies x=\dfrac{k\pi}2
6 0
4 years ago
Simplify (7-2i) - (3 +9i).<br> 0-7<br> O 15<br> O 4 +7i<br> 04-11i
VMariaS [17]
This answer is 4-11i
3 0
3 years ago
A box of detergent is on sale for $6.50, if this price is 40% discount from the original price to the nearest cent.
coldgirl [10]
6.50 *.40. = 2.60

6.50+ 2.60= 9.10
7 0
3 years ago
Select the correct answer.
Dafna11 [192]

Answer:

The answer is B

4 \times (3 + 7) = (4 \times 3) + (4 \times 7)

Step-by-step explanation:

4(3 + 7) = 12 + 28 = 40

4(3 + 7) = (4 \times 3) + (4 \times 7) \\ 4 \times 10 = 12 + 28 \\ 40 = 40

5 0
3 years ago
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