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3 years ago

Explanation plsss..

Mathematics

1 answer:

ollegr [7]3 years ago

4 0

Answer:

You will need 20 sides to complete the loop.

Step-by-step explanation:

The question isn't quite clear given how small the corner is, but I assume that we are looking to complete the circle if the pentagon and square are repeated in a loop

We can also see - assuming that those are proper equal-sided polygons, that PQ is the same length as PV

With that in mind, We can solve this by noting that the angle of a corner in a square is 90 degrees, and in a pentagon it's 108 degrees.

108 - 90 is equal to 18. This means that PQ is at eighteen degrees to YP. Also, QM, (which will be equivalent to the next VP is eighteen degrees to PQ.

This means that each polygon is rotated 18 degrees relative to it's neighbour.

With all that we can say that the total polygons we need to form a circle is 360/18 = 20, So you will need 20 polygons, or ten squares and ten pentagons to complete the loop.

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Please help me with this right away. Please show the work

Nina [5.8K]

Look at the picture.

Definitions:

$\sin\theta=\dfrac{y}{r}\\\\\cos\theta=\dfrac{x}{r}\\\\\tan\theta=\dfrac{y}{x}\\\\\cot\theta=\dfrac{x}{y}$

We have:

$\tan\theta=-\dfrac{2}{3}$ and Quadrant II (x < 0, y > 0)

Therefore x=-3 and y = 2. Calculate r:

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Substitute to the formula of cosine:

$\cos\theta=\dfrac{-3}{\sqrt{13}}=-\dfrac{3}{\sqrt{13}}\cdot\dfrac{\sqrt{13}}{\sqrt{13}}=-\dfrac{3\sqrt{13}}{13}$

Answer: a.

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3 years ago

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3 years ago

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What is the area of a circle that has a circumference of 42 inches? A. 140.4 in2 B. 126.60 in2 C. 132.62 in2 D. 21.04 in2

tankabanditka [31]

Circumference = 2 $\pi$ r
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42/(2 $\pi$ ) = r
21/ $\pi$ = r

Area = $\pi$ r²
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svetoff [14.1K]

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Consider the function f(x)=x^2+2x-8

sattari [20]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

function f(x) = x² + 2x - 8

-See the graph below

1) x-intercepts

We observe in the graph that there are no x-intercepts.

2) y-intercepts

We observe in the graph that the y-intercept is (0, 8). Point A

3) axis of symmetry

The axis of symmetry is the line that divides the parabola into two equal parts. This line is x = -1 (blue line)

4) The vertex is the lowest point of the parabola, this point is (-1, 7)

Point B in the graph.

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3 years ago

Explanation plsss..​

Explanation plsss..