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Step-by-step explanation:dom
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Answer:
27.5 mm
Step-by-step explanation:
The game piece has the shape of two identical square pyramids attached at their bases. Given that the perimeters of the square bases are 80 millimeters, and the slant height of each pyramid is 17 millimeters.
Let the side length of each of the side of the base of the pyramid be b, hence:
perimeter = 4b
80 = 4b
b = 20 mm. half of the side length = b/2 = 20 / 2 = 10 mm
The slant height (l) = 17 mm, Let h be the height of one of the pyramid, hence, using Pythagoras theorem:
(b/2)² + h² = l²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.75 mm
The length of the game piece = 2 * h = 2 * 13.75 = 27.5 mm.
Answer:
60
Step-by-step explanation:
Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.
Want to make at least $100. It means, the total sales must be greater than or equal to $100.
Therefore, the inequalities in the system of linear inequalities are and .
Descending order...
5x^4 + 3x^3 + 6x^2 + 1...first term is 5x^4
