Answer:
s+s+s+s or s times 4
Step-by-step explanation:
The perimeter of a square is equal to 2l + 2w. In this case, 1l and 1w is equal to s. so 2(s) + 2(w) = 4s
The greatest number of bags she can make without having any stickers or pencils left over is 18 bags.
Step-by-step explanation:
The best way to go about this is by dividing the total number of pencils and stickers by the answer choices given and starting with the highest number (27). We already know that 27 goes into 54 twice without anything left over, but can only go into 36 once while having 9 leftover. This would eliminate 27 as an answer choice as it does not meet the criteria.
Repeat the same process with 18, so 54 divided by 18 is 3, and 36 divided by 18 is 2. There is nothing left over, every bag will have an equal number of pencils and stickers. With this answer, the question criteria is true, making this the correct answer choice.
Although part of your question is missing, you might be referring to this full question: The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid. Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?
The answer to the given question is 9/16. The fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid is 9/16.
<h3>What is Area in Mathematics?</h3>
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. We measure area in square units (cm² or m²). Area is calculated by multiplying the length of a shape by its width.
The ratio of areas of 2 similar squares is the square of the ratios of their similar side lengths. Since the ratio of the smaller side length to the larger side length is 3/4, then the ratio of areas of two similar squares is:
(3/4) ² = 3²/4² = 9/16.
Learn more about area of pyramid at: brainly.com/question/14013519
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Answer:
The values of x and y are x = 6 and y = 9
Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
- Bisect each other
- Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
For a regular tessellation, the shapes can be duplicated infinitely to fill a plane such that there is no gap. The only shapes that can form regular tessellations are equilateral traingle(all sides are equal. This means that it can be turned to any side and it would remain the same), square and regular hexagon. Looking at the given options, we have
Shape Tessellate?
Octagon No
Hexagon Yes
Pentagon No
Square Yes
Triangle No(unless it is specified that it is an equilateral triangle)
