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3 years ago

True or False. A sinusoid is a function whose values repeat based on positions of a point that moves around a circle.

Mathematics

2 answers:

Gre4nikov [31]3 years ago

3 0

The <em>correct answer</em> is:

True.

Explanation:

A sinusoidal function is based on the sine function, or sine wave.

The sine wave repeats based on its <em>period</em>. The period of the sine function is 2π, or 360°. Depending on the transformations applied to the function, the period of the transformed function may be different, but will always be based around this idea of repeating every 2π radians.

Since 2π = 360°, this corresponds with a circle. This means the graph repeats based on positions of a point that move around a circle.

Digiron [165]3 years ago

3 0

Answer:

true, like the other guy said

Step-by-step explanation:

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The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal siz

9966 [12]

Answer:

$(a)\ Area = 3765.32$

$(b)\ Area = 4773$

Step-by-step explanation:

Given

$A_1 = 169in^2$ --- area of each square

$Shade = 4in$

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

$L^2 = A_1$

$L^2 = 169$

$L = \sqrt{169$

$L=13$

The length of two squares make up the radius of the semicircle.

So:

$r = 2 * L$

$r = 2*13$

$r = 26$

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

$A_2 = 16 * 169$

$A_2 = 2704$

The area of the semicircle is:

$A_3 = \frac{\pi r^2}{2}$

$A_3 = \frac{3.14 * 26^2}{2}$

$A_3 = 1061.32$

So, the area of the window is:

$Area = A_2 + A_3$

$Area = 2704 + 1061.32$

$Area = 3765.32$

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

$Length = 4 * 13 + 8$

$Length = 60$

$Height = 4*13 + 4$

$Height = 56$

The area is:

$A_1 = 60 * 56 = 3360$

The radius of the semicircle becomes initial radius + 4

$r = 26 + 4 = 30$

The area is:

$A_2 = \frac{3.14 * 30^2}{2} = 1413$

The area of the shade is:

$Area = A_1 + A_2$

$Area = 3360 + 1413$

$Area = 4773$

7 0

3 years ago

Find the surface area of the triangular prism. Will mark brainliest!

klio [65]

Answer:

720 sq ft

Step-by-step explanation:

Formula:

2 B + P x H

3 0

3 years ago

Read 2 more answers

The <img src="https://tex.z-dn.net/?f=%5Csqrt%7B32%7D" id="TexFormula1" title="\sqrt{32}" alt="\sqrt{32}" align="absmiddle" clas

Gwar [14]

5 and 6

Step-by-step explanation:

The square root of 32 is between two integers which are 5 and 6.

5 < $\sqrt[2]{32}$ < 6

Integers are sets of numbers that are made up of whole numbers;

5 is a perfect square and so is 6;

The square of 5 is 25

The square of 6 is 36

Since 32 is closer to 36, we can expect the square root of 32 to be greater than the mid point between 5 and 6 i.e > 5.5

learn more:

Square root problems brainly.com/question/4034547

#learnwithBrainly

7 0

4 years ago

Given A = {1, 3, 5}, B = {2, 4, 6} and C={1, 2, 3, 4, 5, 6}, then A ∪ (B ∩ C)

Serggg [28]

B ∩ C is an intersection, which means only values that are present in both B and C are picked. So...
B ∩ C = {2, 4, 6}
A ∪ (B ∩ C) is a union, which means you combine all values, but discard duplicates. So...
A ∪ (B ∩ C) = {1, 2, 3, 4, 5, 6}

8 0

3 years ago

Read 2 more answers

What are the zeros of the function below? F(x)= (x-1)(x+1)/6(x-4)(x+7)

Lisa [10]

Answer:

+1 and -1

Step-by-step explanation:

The function in this problem is:

$f(x)=\frac{(x-1)(x+1)}{6(x-4)(x+7)}$