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Margaret [11]
2 years ago
10

What is the 6th term of the geometric sequence shown?

Mathematics
1 answer:
solniwko [45]2 years ago
8 0

Answer:

0

Step-by-step explanation:

subtract 20 from 40 it's Zero

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You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many
REY [17]
What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

A= \pi  r^{2}

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}

Let's name n the number of slices, if we divide the total area by n this result, each area  must equal, then:

\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}

Finally, we will be able to cut:

n= \frac{2\pi}{\theta} Slices

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3 years ago
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7 0
3 years ago
I need help with this question???
Sholpan [36]

Answer:

A

Step-by-step explanation:

Because -20 is more than -17 by -3

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3 years ago
Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

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3 years ago
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Answer:

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2 years ago
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