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Semmy [17]
3 years ago
14

A regular octagon rotates 360 about its center. How many times does the image of the octagon coincide with the preimage during t

he rotation
Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0
Throughout the course of a 360 degree rotation, the image of the octagon will coincide with the preimage 7 times, not including the moment that it returns to its original position.
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Complete the following statement of congruence:<br> A. TRS<br> B. RTS<br> C. STR<br> D. RST
Aliun [14]

Answer:

B. △RTS

Step-by-step explanation:

△MON ≅ △RTS

4 0
2 years ago
Each container must hold exactly 1 litre of water Each container must have a minimum surface area
Arada [10]

The containers must be spheres of radius = 6.2cm

<h3>How to minimize the surface area for the containers?</h3>

We know that the shape that minimizes the area for a fixed volume is the sphere.

Here, we want to get spheres of a volume of 1 liter. Where:

1 L = 1000 cm³

And remember that the volume of a sphere of radius R is:

V = \frac{4}{3}*3.14*R^3

Then we must solve:

V = \frac{4}{3}*3.14*R^3 = 1000cm^3\\\\R =\sqrt[3]{  (1000cm^3*\frac{3}{4*3.14} )} = 6.2cm

The containers must be spheres of radius = 6.2cm

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6 0
2 years ago
How do you solve 10+5(3x-4)=2x+7
Taya2010 [7]

Answer:

x=1\dfrac{4}{13}

Step-by-step explanation:

Given the equation

10+5(3x-4)=2x+7

Use distributive property:

10+5\cdot 3x-5\cdot 4=2x+7\\ \\10+15x-20=2x+7

Use commutative property to rewrite the equation:

15x+10-20=2x+7

15x-10=2x+7

Add 10 th both sides:

15x-10+10=2x+7+10\\ \\15x=2x+17

Subtract 2x:

15x-2x=2x+17-2x\\ \\13x=17

Divide by 13:

x=\dfrac{17}{13}=1\dfrac{4}{13}

4 0
3 years ago
Vítor knows he must prepare and possibly prevent overdraft funds fees since they are charged automatically. Which statement belo
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The statement below would be the least effective element of a plan Vitor could use to accurately estimate (or minimize) overdraft fees on the account is he need to <span>use the debit card for a large number of small purchases and check the balance later.</span>
6 0
3 years ago
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The population of Zoe's hometown was 75,000 people last year. The population is growing at a rate of 2.4% each year. Which funct
Mamont248 [21]

Answer:

the answers is

Step-by-step explanation:

14 models grow of this city

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