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kolbaska11 [484]
1 year ago
5

Use five different colors to paint the four rectangles A, B, C and D shown in the figure. No two rectangles sharing an edge can

be the same color. How many ways are there to color the rectangles?

Mathematics
1 answer:
GenaCL600 [577]1 year ago
8 0

There are 120 ways to color the 4 rectangles

<h3>How to determine the number of ways?</h3>

The given parameters are:

Paints, n = 5

Rectangles, = 4

The number of ways to color the rectangles is

Ways = ^nP_r

This gives

Ways = ^5P_4

Apply the permutation formula

Ways = \frac{5!}{1!}

Evaluate the expression

Ways = 120

Hence, there are 120 ways to color the 4 rectangles

Read more about permutation at:

brainly.com/question/1216161

#SPJ1

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I need the answers for 5 and 6 please and make sure they are accurate , thank you :)
velikii [3]

Answer:

5. 6+6i

6. -2+(6\sqrt{3})i

Step-by-step explanation:

well, u just need to calculate

7 0
3 years ago
An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the
9966 [12]

The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium.

<h3>Can this atrium be built in the rectangular plot of land?</h3>

The atrium with the <em>maximum allowable</em> radius (<em>R</em>), in feet, is represented in the image attached. The <em>real</em> atrium is possible if and only if the <em>real</em> radius (<em>r</em>) is less than the maximum allowable radius and therefore, the <em>real</em> volume (<em>V</em>), in cubic feet, must be less than than <em>maximum possible</em> volume (<em>V'</em>), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

<em>V' =</em> (8 · π / 3) · (45 ft)³

<em>V' ≈</em> 763407.015 ft³

The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium. \blacksquare

To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/13338592

3 0
2 years ago
The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
Lisa [10]

Step-by-step explanation:

For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,

b^2 - 4ac must be positive.

b^2 - 4ac > 0

(k - 3)^2 - 4(3 - 2k) > 0

k^2 - 6k + 9 - 12 + 8k > 0

k^2 + 2k - 3 > 0

4 0
2 years ago
The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6
ratelena [41]

Answer:

y = 12x + 8

Step-by-step explanation:

You can come to this conclusion by plugging in the amount of tickets bought as x in each equation, making sure the the answer y is $56 if x = 4 and $80 if x = 6

3 0
2 years ago
Read 2 more answers
Can someone help me asap!! am timed right now​
Aneli [31]

Answer:

Step-by-step explanation:

Find the value of the left hand side (LHS)

LHS = 1/4 // 5/6

LHS = 1/4 * 6/5

LHS = 6/20

LHS = 3/10

Now what will make 3/10 on the right?

B:  1/4  * 6/5 = 6/20 = 3/10

a = 4

b = 6

c = 5

7 0
3 years ago
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