The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
- The length of the hypotenuse of the triangle is <u>26 cm</u>.
Reasons:
Let <em>x</em> and<em> </em><em>y</em> represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = <u>26 cm</u>
Learn more about Pythagoras's theorem here:
brainly.com/question/8171420
<span>In </span>mathematics<span>, a </span>matrix<span> <span>(plural </span></span>matrices) is a
rectangular array of numbers, symbols, or expressions, arranged in rows and
columns.
Given that
E = [ 1 2]
<span>A = | 3
0|</span>
<span> | 2
-1 |</span>
<span>2EA = 2 [1 2] | 3 0|</span>
<span> | 2 -1 |</span>
<span>2EA = [ 14
-4]</span>
<span> </span>
Volume = length x width x height
Volume = 3 1/4 x 2 x 1 3/4 = 11 3/8 cubic feet
To find the correct polynomial, we can use the answers to help us out. The middle variable must be the sum of +2 and another number; the last number in the equation must be the product of +2 and the other number.
Knowing this information, we can use the process of elimination to find the exact polynomial that contains the factor (3x + 2).
A) This can't be it because to get -x as the middle variable, you would need to add -3 and +2. However, -3 x +2 doesn't equal -4.
B) This equation isn't the right one because to get +8 you need to add +6 + 2. However, the product of these two isn't -8.
C) Can't be correct because +2 and -7 = -5, but 2 x -7 = -14...not -9.
D) Is the correct answer because you can add 2 and -1 to get +1. (There is an understood +1 in front of the x in the equation.) The product of 2 and -1 equals -2, which happens to be the last number inside this equation. Therefore, this (D) is the correct answer choice.
Hope I could help you out! If my math is incorrect, or I didn't provide the answer you were looking for, please let me know. However, if the answer was correct and well explained, please consider marking it <em>Brainliest</em>.
Have a good one!
God bless.
