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ValentinkaMS [17]
3 years ago
8

Hannah has 11 toothpicks that are the same length.Name the types of triangles and quadrilaterals Hannah can make if she uses onl

y one toothpick for each side of each figure
Mathematics
2 answers:
bearhunter [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that Hannah has 11 toothpicks that are the same length

When she uses only one toothpick for each side then we see that all sides would be equal whether quadrilateral or triangle.

Hence she can make equilateral triangles, rhombuses or squares out of these 11 toothpicks

Either one equilateral triangle, and 2 rhombuses, or one equil. triangle and 2 squares or 1 equil triangle with 1 square, 1 rhombus or 2 equil triangles with one square or rhombus

larisa [96]3 years ago
5 0
Hannah can make 2 quadrilaterals and 1 triangle.
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Charles can do the whole job in an hour, Bill can do 1/2 of the job in an hour, and Bob does 1/3 of the job in an hour.  Therefore, they do a total of 1+1/2+1/3=11/6 of the job in an hour, meaning it takes them 6/11 of an hour.  This is 6/11*60=360/11 minutes, or approximately 33 minutes.
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3 years ago
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1. A set of weights includes a 5 lb barbell and 8 pairs of weight plates. Each pair, p,
lidiya [134]

Answer:

5 <= y <= 85

Step-by-step explanation:

Since the lowest weight possible is 5lbs (just the barbell and no weights) the lowest point of the range is 5lbs (the y intercept when x = 0)

The highest weight possible is 85lbs since, there is only 8 pairs of weight plates (8 is the input value) and the pairs each weigh 10lbs (the slope of the graph) + 5lbs from the barbell (y-intercept).

Using the function given, if you input 8 as the x value, you get

85 = 10(8) + 5

So the highest value of the range is 85lbs, therefore the range is 5 <= y <= 85.  

6 0
3 years ago
What is the value of x in the equation? 6(x +1) -5x = 8 + 2(x - 1) *
vladimir2022 [97]

Answer:

x = 0

Step-by-step explanation:

6 ( x + 1 ) - 5x = 8 + 2 ( x - 1 )

6x + 6 - 5x = 8 + 2x - 2

-x = 0

x = 0

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3 years ago
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3 years ago
Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:Sum and Product of zeroes of the quadratic
andrew-mc [135]

Answer:

The sum and product of zeroes are 1 and 1/4, respectively.

Step-by-step explanation:

To determine the zeroes of the quadratic polynomial, let equalize the polynomial to zero and solve in consequence:

16\cdot s^{2}-16\cdot s + 4 = 0

By the General Quadratic Formula:

s_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot (16)\cdot (4)}}{2\cdot (16)}

s_{1,2} = \frac{1}{2}

Which means that zeroes are s_{1}=s_{2}=\frac{1}{2}.

The sum and product of zeroes are, respectively:

s_{1}+s_{2} =\frac{1}{2}+\frac{1}{2}

s_{1}+s_{2} = 1

s_{1}\cdot s_{2} = \left(\frac{1}{2} \right)^{2}

s_{1}\cdot s_{2} = \frac{1}{4}

The sum and product of zeroes are 1 and 1/4, respectively.

4 0
3 years ago
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