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3 years ago

Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes (m) it would take her to eat

Mathematics

1 answer:

kipiarov [429]3 years ago

4 0

Answer:

The answer is 10 minutes.

Step-by-step explanation:

First, convert the known amount of time to a fraction.

6/21 (min over hot dogs).

Set up a proportion.

6/21 = m/35 (m being the number of minutes)

Cross multiply.

210 = 21m

Solve for m. (divide each side by 21)

m = 10

I hope this helps! :)

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sergij07 [2.7K]

Answer:

(a)

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(b)

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(c)

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(d)

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Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

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