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Stells [14]
3 years ago
14

If one side of a rectangle is increased by 12 and an adjacent side is decreased by 3 a rectangle is formed whose perimeter is 64

. What is the length of the side of the original square
Mathematics
1 answer:
Dima020 [189]3 years ago
8 0
The length of the side of the original square is 7cm

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The ages of three children in a family can be expressed as consecutive integers. The square of the age of the youngest child is
tensa zangetsu [6.8K]

Answer: 10, 11, & 12

<u>Step-by-step explanation:</u>

Let x represent the age of the youngest child.  

Their ages are consecutive so,

Youngest: x

Middle: x + 1

Oldest: x + 2

The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.

x² = 8(x + 2) + 4

x² = 8x + 16 + 4

x² = 8x + 20

x² - 8x - 20 = 0

(x - 10)(x + 2) = 0

x - 10 = 0     or      x + 2 = 0

  x = 10       or          x = -2

Since age cannot be negative, x = -2 is not valid

So, the Youngest (x) is 10

the Middle (x + 1) is 11

and the Oldest (x + 2) is 12

4 0
3 years ago
On Wednesday, Danielle skated 2/3 of the way around the track in 2 minutes. Her younger brother skated 3/4 of Danielle's distanc
katen-ka-za [31]
75 percent of 2/3

Is 0.5 of the way
4 0
3 years ago
Calculate the number of ways to form a set of three distinct items such that no two of the selected items are in the same row or
Eddi Din [679]

Answer:

1200

Explanation:

Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:

nCr = n! / r! * (n - r)!

where n= total number of items

r= number of items chosen at a time

Combinations are used when the order of events do not matter in calculating the outcome.

We calculate using the formula:

(30×20×12)÷3!=1200

There are therefore 1200 ways for the three distinct items to not be in same row or column

8 0
3 years ago
In triangle ABC, (angle A) is a right angle and (m angle B) = 45deg.
Ratling [72]
We can use the ratios for special triangles (see the attachment below). We'll be using the 45-45-90 triangle. We notice that side BC is equal to x \sqrt{2}, and side AC (x using the special right triangle) is equal to 16. We can therefore say that side BC is equal to 16 \sqrt{2} ft

:)

4 0
3 years ago
Read 2 more answers
One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have
irinina [24]
One of your friends gives you $10 for a charity walkathon -- this is your beginning amount.
Another friend gives you an amount per mile -- you will to calculate this value.
After 5 miles, you have raised $13.50 total --
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7 0
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