Answer:
-149
Step-by-step explanation:
To solve, we must first plug our known values for a and b into the equation and then follow the order of operations.
1.
2.
3.
4.
5.
A quadrilateral is a 4 sided shape. Examples could include squares, trapezoids, rectangles, and rhombus.
Answer:
Step-by-step explanation:
RM 280 = 40% of 8 months
RM 700= 100% of 8 months
RM 700/8= 8 months
RM 87.5 = 1 month
Answer = 87.5
The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.
<h3>How to determine the percentage?</h3>
Since the side of the small square is a, then the area of the tile is
given by:
Area of tiles = 9a²
<u>Note:</u> With an area of 9a², 4a² is covered by squares while 5a² by pentagons.
This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:
Percent = 5/9 × 100
Percent = 0.555 × 100
Percent = 55.5 ≈ 56%.
Read more on area of square here: brainly.com/question/8902873
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Complete Question:
The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58
The region in question is the set
or equivalently,
Cross sections are taken perpendicular to the y-axis, which means each section has a base length equal to the horizontal distance between the curve y = x³ and the line x = 0 (the y-axis). This horizontal distance is given by
y = x³ ⇒ x = ∛y
so that each triangular cross section has side length ∛y.
The area of an equilateral triangle with side length s is √3/4 s², so each cross section contributes an infinitesimal area of √3/4 ∛(y²).
Then the volume of this solid is
I've attached some sketches of the solid with 16 and 64 such cross sections to give an idea of what this solid looks like.