The length from one corner to the opposite corner is 26 feet
The screen is the shape of a rectangle.
The length from one corner to the opposite corner is known as the diagonal or hypotenuse. The diagonal separates the rectangle into 2 right-angled triangles
. The diagonal's value can be determined using Pythagoras theorem
The Pythagoras theorem: a² + b² = c²
where a = length
b = width
c = diagonal
10² + 24²
100 + 576
= 676
determine the value of the square root
√576 = 26 feet
To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults
Answer: (2x+5)(x^2+3)
Step-by-step explanation:
Draw or sketch out any problems like this, otherwise they appear abstract.
A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so
pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)
A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)
A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.
Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.
I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
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