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defon
3 years ago
14

A rectangular sheet of paper is folded diagonally from A to C what is the length of side B

Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

AC = \sqrt{AB^2 + BC^2}

Step-by-step explanation:

Here we have to draw the figure.

When the rectangle is folded A to C. we get a right triangle.

Here we have to use the Pythagorean theorem to find the side lenght of B.

The sides length of B is AC.

By the Pythagorean theorem, the sum of the squares of the sides is equal to the square of the hypotenuse.

Therefore,

AC^2 = AB^2 + BC^2

Taking the square roots on both sides, we get

AC = \sqrt{AB^2 + BC^2}

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5, AC has an infinite number of points on the plane.

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3 years ago
Nut Mix Michael and Kevin return to the candy store, but this time they want to purchase nuts. They can't decide among peanuts,
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2.5x1.30=3.25
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2 years ago
Lucy is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes
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The total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

<h3>What is permutation and combination?</h3>

A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.

We have:

Total number of outcomes for pyramid = 4

Total number of outcomes for spinner = 5

Total outcomes = 4×5  (multiplication rule of counting)

= 20

Thus, the total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

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brainly.com/question/2295036

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2 years ago
One month Yoko rented 3 movies and 5 video games for a total of $40. The next month she rented 9 movies and 7 video games for a
KATRIN_1 [288]

Answer:

  • movie: $3.75
  • video game: $5.75

Step-by-step explanation:

Two equations in two unknowns can be written:

  3m +5v = 40

  9m +7v = 74

These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to

  • ax +by = c
  • dx +ey = f

is given by ...

  • ∆ = bd -ea
  • x = (bf -ec)/∆
  • y = (cd -fa)/∆

For the numbers above,

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  • m = (5·74 -7·40)/24 = 90/24 = 3.75
  • v = (40·9 -74·3)/24 = 138/24 = 5.75

The rental cost for each movie is $3.75; for each video game, it is $5.75.

___

The attached graph shows a graphing calculator solution to these equations.

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3 years ago
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