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2 years ago

what is the smallest number of degrees needed to rotate a regular Pentagon around its center onto itself?

1 answer:

Alex2 years ago

4 0

One rotation has 360 degrees. Since regular Pentagon has 5 sides and each of them takes 360/5=72 degrees when looked from center, if we rotate regular Pentagon by 72 degrees we will get same shape as we started from.

Therefore answer is 72 degrees.

You might be interested in

On Monday, Jayla raised $30 and Carlos raised $50.

gayaneshka [121]

Answer:

84 days

Step-by-step explanation:

You would use the LCM to solve this.

12 and 7 don't share any common factors other than 1,

so you would multiply 12 x 7, which gets you 84.

After 84 days they would have raised the same amount.

8 0

2 years ago

the smiths are planning to complete a 1890 mile trip in 3 days. if they drive 596 miles the first day and 612 miles the second d

Bingel [31]

They must travel 682 miles because 596+612=1,208 and 1,890-1,208=682

6 0

2 years ago

On average, water flows over a particular water fall at a rate of 2.08 x 105 cubic feet per second. One cubic foot of water weig

34kurt

Answer:

5.61×10^8 ton/day

Step-by-step explanation:

(2.08×10^5 ft³/s)·(8.64×10^4 s/day)·(6.24×10^1 lb/ft³)/(2×10^3 lb/ton)

= (2.08·8.64·6.24/2)×10^(5+4+1-3) ton/day

≈ 56.07×10^7 ton/day

≈ 5.61×10^8 ton/day

_____

We have expressed the answer using 3 significant digits, to match the precision of the rate and weight.

4 0

2 years ago

Leila puts an integer into the "In" box of each machine.

kykrilka [37]

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

$\mathbf{y = 2(5x + 3) - 24}$

The equation represented on machine B is:

$\mathbf{y = 4(2(x + 11) - 7)}$

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

$\mathbf{y = y}$

So, we have:

$\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}$

Open brackets

$\mathbf{10x + 6 - 24 = 8x + 88 - 28}$

$\mathbf{10x - 18 = 8x + 60}$

Collect like terms

$\mathbf{10x - 8x = 18 + 60}$

$\mathbf{2x = 78 }$

Divide both sides by 2

$\mathbf{x = 39 }$

Substitute 39 for x in $\mathbf{y = 2(5x + 3) - 24}$

$\mathbf{y = 2 \times (5 \times 39 + 3) - 24}$

$\mathbf{y = 372}$

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

brainly.com/question/15715866

4 0

2 years ago

What is the complex number z=-3+3i represented in polar form

rusak2 [61]

Answer:

see attachment

Step-by-step explanation:

6 0

2 years ago