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kykrilka [37]
3 years ago
9

The combined area of two sqaures is 45 sqaure centimeters. Each side of one sqaure is twice as long as a side of the other sqaur

e.What is the length of each side of the larger square
Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Answer:the length of each side of the larger square is 6 centimeters.

Step-by-step explanation:

Let x represent the length of each side of the small square.

Let y represent the length of each side of the Large square.

The area of the small square is x^2

The area of the large square is y^2

The combined area of two squares is 45 square centimeters. This means that

x^2 + y^2 = 45 - - - - - - - - - - -1

Each side of one square is twice as long as a side of the other square. This means that

y = 2x

Substituting y = 2x into equation 1, it becomes

x^2 + (2x)^2 = 45

x^2 + 4x^2 = 45

5x^2 = 45

x^2 = 45/5 = 9

x = √9 = 3

Substituting x = 3 into y = 2x, it becomes

y = 2 × 3 = 6 centimeters

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Step-by-step explanation:

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5 0
3 years ago
Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?
snow_lady [41]

Answer:

The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

Step-by-step explanation:

We have 10 possible outcomes on a single throw.

So, outcomes in 3 throws = 10^{3} =1000 outcomes.

Let x be the number of strictly increasing arrangements.

Let y be the number of strictly decreasing arrangements.

Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing

So, we have x+y+z=1000

If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.

So, x = y

Hence, we can say the final equation will be :

2x+z=1000

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.

10C3=\frac{10!}{3!7!} = 120 ways

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So, the probability is = \frac{760}{1000} = 0.76

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4 0
3 years ago
If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi. one whole side is 28 in
morpeh [17]
<em>What you need to find is the extra amount of plywood. To do that, you must find the area of the square and the area of the circle and subtract them to find the answer.</em>

Formulas:
area of a square: A = bh
area of a circle: A = \pi r^2

square measurements:
b = 28
h = 28

circle measurements:
\pi (≈3.14)
r = 14 

A = (28)(28)
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area of square = 784 in^2

A = 3.14 (14^{2})
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6 0
3 years ago
Can anyone help me with this?
tamaranim1 [39]

Answer:

the answer is A (x + 5, y +10)

Step-by-step explanation:

you gotta go up 10 units then add (the right direction) by 5 units

6 0
3 years ago
The area of a rectangular city park is 25/54 square miles. The length of the park is 5/9 mile. What is the width, in miles, of t
Natali5045456 [20]
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length(L) = 5/9 miles
width (W)= ?
area = L * W
25/54 = 5/9 * W
W =  (25/54) / (5/9) = (25 * 9) / (54 * 5)
 W = 5/6 miles
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