Find the area. Show your work.

Answer:T = 2*Pi / (Pi / 3) = 6 seconds

Step-by-step explanation:

The time (in seconds) that it take the pendulum to complete one full cycle is given by: Option C: 6 (seconds)

Trigonometric functions are periodic. They repeat their values after some specific constant input interval (constant depends on the trigonometric function chosen).

For sine function, its period is 2π

Thus, we get:

[tex]y = \sin(x) = \sin(x+2\pi) = \sin(x + 2\pi n) ; n \in \mathbb Z[/tex] integer, and y is some constant at some constant value of x)

For this case, the pendulum's motion is modeled by:

[tex]P(t) = -10\sin\left(\dfrac{\pi}{3} t\right)[/tex]

Let it takes 'd' seconds to do one full cycle, then we get:

[tex]P(t) = P(t+d) = P(t+2d) = P(t + nd); n \in \mathbb Z - \mathbb Z^{-}[/tex] (n is non-negative integer).

Using the formula, we get:
[tex]-10\sin\left(\dfrac{\pi}{3} t\right) = -10\sin\left(\dfrac{\pi}{3} (t + nd)\right)\\\sin\left(\dfrac{\pi}{3} t\right) =\sin\left(\dfrac{\pi}{3}t + \dfrac{\pi}{3}nd\right)[/tex]

But we know that:

[tex]\sin\left(\dfrac{\pi}{3} t\right) =\sin\left(\dfrac{\pi}{3}t +2\pi n\right)[/tex]

Thus, we get:

[tex]2\pi n = \dfrac{\pi}{3}nd\\[/tex] (compared for non-negative values of n)

This gives:

[tex]d = \dfrac{2\pi n \times 3}{\pi n} = 6[/tex] (in seconds)

Thus, the time (in seconds) that it take the pendulum to complete one full cycle is given by: Option C: 6 (seconds)

Learn more about periodic functions here:

https://brainly.com/question/12529476

Use the unit circle.

Looking at the picture, the answer is A. See it?

Answer:

114.6

Step-by-step explanation:

Left Side

It's a rectangle.

L = 12 km

w = 5 km

Area = L*W=                       = 60

Right Side (top)

It too is a rectangle.

L = 10

W = 3

Area = L*W =                        30

Triangles

Area = 1/2 * b  * h

Area = 1/2 * 12 * 4.1              24.6

Total Area                            114.6

Answer:

16.5

Step-by-step explanation:

Tan70°=x/6

x=6tan70°

=16.5

The expressions that is equivalent to 3x - 5 are 2x - 4-1 + x and 3x+(-5)

From the given information, we need to calculate the expression that is equivalent to 3x - 5.

For the expression  2x - 4 - 1 + x

For the expression -x + x + x-1-1-1-1-1

2x - 5

For the expression 3x+(-5)

= 3x - 5

Hence the expressions that is equivalent to 3x - 5 are 2x - 4-1 + x and 3x+(-5)

Learn more on expressions here: https://brainly.com/question/25968875

Answer:

The present value of this bond is simply the sum of these two present values: ... an investment in an 8%, $1,000 par value, 5-year Government of Canada bond. ... D.T-bill yield is calculated as (100-price)/price x (365/term) x 100. ... maturity (per $100 face value) for a bond with a 7.0% coupon, current market price of $107.50 ...

Step-by-step explanation:

The answer is C $1,018.75

Answer:

It either used as a variable in math or used by teens and adults as the word  "Fine".

Step-by-step explanation:

Answer:

if we mean by math, 5n means 5 × a number

Step-by-step explanation:

say if your problem is 5n=20

20 ÷ 5=4

n=4

5 × 4= 20

hope this helps!

Answer:

V = 768in³

LA = 608in²

SA = 692in²

Step-by-step explanation:

Volume:

7 x 12 ÷ 2 = 42

42 x 19 = 768

LA:

11 x 19 = 209

9 x 19 = 171

19 x 12 = 228

209 + 171 + 228 = 608

SA:

12 x 7 = 84

84 + 608 = 692

hope this is right:)

Answer:

Bank A

Step-by-step explanation:

Answer:

a because its true it is

Step-by-step explanation:

a so a because its true

Answer:

Step-by-step explanation:

slope = m

m = y2-y1  /  x2 - x1

m = (-4) - 7  / (-6) - (-4)

m = -11 /  (-6) + 4

m = -11 / -2

m = 11/2

:)

Answer:

C.

1 ≤ w ≤ 5

Step-by-step explanation:

Move all terms not containing  

w

from the center section of the inequality.

Inequality Form:

1 ≤ w ≤ 5

Interval Notation:

[ 1 , 5 ]

Step-by-step explanation:

We know that the sum of two sides of a triangle is always greater than the third side . Here , the sum of sides is , 24 + 29 = 53 .

Answer: 3.9 ft

Step-by-step explanation:

From the question, the distance across the window which is 2.5 ft is the diameter. Therefore, radius will be:

= 2.5 / 2

= 1.25 ft

Then, we calculate the circumference of the circle which will be:

= 2πr

= 2 × 3.14 × 1.25

= 7.85 ft

Nite that it's a semi circle, therefore we divide the perimeter by 2. This will be:

= 7.85/2

= 3.9 feet

Answer:

b

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The figure shown is a rectangular prism with a length of 1, a width of 8 and a height of 5 and given this information we want to find the volume

The volume of a rectangular prism can easily be calculated by multiplying the width by the length by the height

so the volume of this rectangular prism specifically = 5 * 8 * 1

5 * 8 = 40

40 * 1 = 40

so the volume is 40

Answer:

70[tex]x^{2}[/tex]+30x-140

Step-by-step explanation:

(7x+3) (10x-14)

70[tex]x^{2}[/tex]-98+30x-42

70[tex]x^{2}[/tex]+30x-42-98

70[tex]x^{2}[/tex]+30x-140

Answer:

x = 9

Step-by-step explanation:

These are vertical angles, and thus the angles are equal.

7x + 3 = 10x - 24

Combining like terms, we get

27 = 3x, so that x must be 9.

x = 9

Answer:

5.34%.

Step-by-step explanation:

Given that,

Measured length of a line = 13.8 inches

Actual length of the line = 13.1  inches

We need to find the percent error of the measurement. We can find it as follows :

[tex]\%=\dfrac{|measured-actual|}{actual}\times 100\\\\\%=\dfrac{13.8-13.1}{13.1}\times 100\\\\\%=5.34\%[/tex]

So, the required percentage is equal to 5.34%.

Answer:

180 m

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

y = - x + 4 ( add x to both sides )

x + y = 4

with A = 1, B = 1, C = 4

(2)

y = 5x + 7 ( subtract y from both sides )

0 = 5x - y + 7 ( subtract 7 from both sides )

- 7 = 5x - y , that is

5x - y = - 7

with A = 5, B = - 1, C = - 7

----------------------------------------------------------

(1)

2x + y = 9 ( subtract 2x from both sides )

y = - 2x + 9

with m = - 2, c = 9

(2)

5x + 2y = 7 ( subtract 5x from both sides )

2y = - 5x + 7 ( divide terms by 2 )

y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{7}{2}[/tex]

with m = - [tex]\frac{5}{2}[/tex] , c = [tex]\frac{7}{2}[/tex]

Answer:

Step-by-step explanation:

Answer: Renata, [tex]416\ ft^2[/tex]

Step-by-step explanation:

Given

The base of rectangular wood is [tex]b=32\ ft[/tex]

The height of Renata frame is [tex]h_r=18\ ft[/tex]

The height of the ben frame is [tex]h_b=5\ ft[/tex]

The area of the rectangular frame is [tex]A=b\times h[/tex]

The area of Renata frame is [tex]A_r=32\times 18=576\ ft^2[/tex]

The area of the ben frame is [tex]A_b=32\times 5=160\ ft^2[/tex]

Clearly, the area of Renata is more by  [tex]576-160=416\ ft^2[/tex]

Answer: the true answer is A

Step-by-step explanation:

Good luck, give Brainliest

Using the normal distribution, it is found that the probability that more than 524 customers will come to the store on a given day is given by:

A. 0.15%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 428, \sigma = 32[/tex].

The probability that more than 524 customers will come to the store on a given day is one subtracted by the p-value of Z when X = 524, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{524 - 428}{32}[/tex]

Z = 3

Z = 3 has a p-value of 0.9985.

1 - 0.9985 = 0.0015 = 0.15%.

Hence option A is correct.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ2

Answer:

It is not.

Step-by-step explanation:

Using the Pythagorean Theorem, a squared + b squared = c squared, we get 25 + 64 = 100, and this is not true.

Answer: B) Yes, the graph passes the vertical line test.

========================================================

Explanation:

Ask yourself if it is possible to draw a single straight vertical line through more than one point on the red parabola. Since such as task is not possible in this case, we consider this curve to be "passing the vertical line test". It means that any x value input leads to exactly one and only one y value output.

Answer:

B

dy/dx = 4x/y

Sorry if it's wrong!

Answer: 18

Step-by-step explanation:

First we want to turn 20% into a decimal so we can multiply it by 90.

So to do that we divide 20 by 100.

20/100=0.2 so 0.2 is the decimal form of 20%.

Then we multiply 90 by 0.2 to get 18 as our answer.

Answer:

Answer: 20% of 90 is 18.

Let's find 20% of 90.

Explanation

20% of 90 can be written as 20% × 90

= 20/100 × 90

= 18

Thus, 20% of 90 is 18.

Step-by-step explanation:

sorry if i get it wrong

I tried my best

Answer:

Step-by-step explanation:1.1c

The expression for the price last month is 1.1c, and the cell phone was $438.9 last month

The given parameters are:

The price last month would be:

Price = Initial price * (1 + Increment)

This gives

Price = c * (1 + 10%)

Evaluate

Price = 1.1c

We have:

c = 399

So, the expression becomes

Price = 1.1 * 399

Evaluate

Price = 438.9

Hence, the cell phone was $438.9 last month

Read more about percentage change at:

https://brainly.com/question/247492