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3 years ago

Help plz..And No links!! I repeat No links!! If you don’t know the answer don’t saying anything this is important

Mathematics

2 answers:

OlgaM077 [116]3 years ago

3 0

Answer:

169.65

Step-by-step explanation:

dolphi86 [110]3 years ago

3 0

Answer:

169.646003294, hope this helps

Step-by-step explanation:

To solve this equation,

A= $2\pi rh+2\pi r^{2}$

Since the radius is 3 meters. We know what r is. A radius of a circle or sphere is any of the line segments from its center to the perimeter. The height is 6 meters.

$A=2\pi (3)*6+2\pi (3^2)\\ A=2\pi (18)+2\pi 9\\ A=113.097...+2\pi 9\\ A=113.097+56.548...\\ A=169.64600...$

Sorry, I don't feel like writing all the numbers in and also it would cut out later on.

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Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))

BartSMP [9]

By using De Moivre's theorem:

If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ $\sqrt[n]{z} = \sqrt[n]{a} \ (cos \ \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )$
k= 0, 1 , 2, ..... , (n-1)

For The given complex number ⇒ z = 81(cos(3π/8) + i sin(3π/8))


Part (A) find the modulus for all of the fourth roots

∴ The modulus of the given complex number = l z l = 81

∴ The modulus of the fourth root = $\sqrt[4]{z} = \sqrt[4]{81} = 3$

Part (b) find the angle for each of the four roots

The angle of the given complex number = $\frac{3 \pi}{8}$
There is four roots and the angle between each root = $\frac{2 \pi}{4} = \frac{\pi}{2}$
The angle of the first root = $\frac{ \frac{3 \pi}{8} }{4} = \frac{3 \pi}{32}$
The angle of the second root = $\frac{3\pi}{32} + \frac{\pi}{2} = \frac{19\pi}{32}$
The angle of the third root = $\frac{19\pi}{32} + \frac{\pi}{2} = \frac{35\pi}{32}$
The angle of the fourth root = $\frac{35\pi}{32} + \frac{\pi}{2} = \frac{51\pi}{32}$

Part (C): find all of the fourth roots of this

The first root = $z_{1} = 3 ( cos \ \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})$
The second root = $z_{2} = 3 ( cos \ \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})$

The third root = $z_{3} = 3 ( cos \ \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})$
The fourth root = $z_{4} = 3 ( cos \ \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})$

7 0

3 years ago

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If m a. 17.32 m b. 6.93 m<b

zepelin [54]

In ΔABC,
tanA = a/b
∴ a = b×tanA = 12×1/√3 = 6.928 ~ 6.93 m

7 0

3 years ago

The graph represents the piecewise function:

svetoff [14.1K]

Answer:

x if -3is less than x is less than -1

5 is -1 is less than x is less than 1

Step-by-step explanation:

You find the slope of the line for the first piece when the x-values range from -3 to -1.

For the second piece, the line is y=5 because the line is horizontal.

5 0

3 years ago

Read 2 more answers

2. A function g(x) is defined by the diagram shown below.

skad [1K]

Answer:

Step-by-step explanation:

diagram attached represents a function g(x).

Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).

a). For input value x = 7, out put value of the function is y = 9.

Therefore, g(7) = 9 will be the answer.

b). Range of the function g(x) is the set of output values.

Range: {12, 9, 9, 17}

c). Inverse of the function g(x) will have,

Domain: {12, 9, 9, 17}

Range: {4, 7, 10, 15}

For input value of x = 9, there are two output values y = 7, 10.

Since, "a function can't have two output values for the same input value".

Therefore, inverse of the function g(x) will not represent a function.

8 0

3 years ago

In what follows use any of the following tests: Regression, multiple regression, one-sided t-test, or two-sided t-test. All conc

Yakvenalex [24]

Answer:

Two sided t-test ( d )
0.245782 ( c )
Since P-value is too large we cannot conclude that the students’ weight are different for these two schools. ( c )
The test is inconclusive; thus we cannot claim that the average weights are different. ( b )

Step-by-step explanation:

1) Test performed is a Two sided test and this because we are trying to determine the mean difference between two groups irrespective of their direction

2) Determine the P-value ( we will use a data-data analysis approach on excel data sheet while assuming Unequal variances )

yes No

Mean 94.47059 89.76471

Variance 173.2647 95.19118

Observations 17 17

df 30

t Stat 1.184211

P(T<=t) one-tail 0.122814

t Critical one-tail 1.697261

P(T<=t) two-tail 0.245782

Hence The p-value = 0.245782

3) Since P-value is too large we cannot conclude that the students’ weight are different for these two schools.

4) The test is inconclusive; thus we cannot claim that the average weights are different.

8 0

3 years ago