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3 years ago

Please help me with this question

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

Answer:

0.7999989281

Step-by-step explanation:

x1 = cos^-1 (3/5)

x1= 53.13°

sin(53.13) = 0.7999989281

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Jose estimates that if he leaves his car parked outside his office all day on a weekday, the chance that he will get a parking t

Elan Coil [88]

Answer:

Therefore, the probability is P=0.74.

Step-by-step explanation:

We know that Jose estimates that if he leaves his car parked outside his office all day on a weekday, the chance that he will get a parking ticket is 26%.

Therefore the probability that he will get a parking ticket is P1=0.26.

We calculate the probability that he will not get a parking ticket.

We get:

P=1-P1

P=1-0.26

P=0.74

Therefore, the probability is P=0.74.

8 0

3 years ago

Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

3 years ago

Write a linear equation in standard form that satisfies the given set of conditions. X-intercept: 3, y-intercept: 5

Artyom0805 [142]

The linear equation in standard form is $y=\frac{-5}{3}x +5$ .

<h3>Linear Function</h3>

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for $\frac{\Delta x }{\Delta y}$ .

b= the constant term that represents the y-intercept.

The question gives: X-intercept:3 and y-intercept: 5. Then,

The x-intercept is the point that y=0, then the x-intercept point is (3,0).
The y-intercept is the point that x=0, then the x-intercept point is (0,5).

With this information, you can find the slope (a).

$a=\frac{\Delta y }{\Delta x}= \frac{0-5}{3-0} =\frac{-5}{3}$

The question gives the coefficient b since it gives the y-intercept=5.

Therefore the linear equation is : $y=\frac{-5}{3}x +5$ .

Read more about the linear equations here:

brainly.com/question/2030026

#SPJ1

4 0

2 years ago

A toy store marks down every toy by 15% in January. How much does a toy cost during January? Use p for the price in December.

Vinil7 [7]

Answer:

s=p−(p⋅d) . 0.75p

Step-by-step explanation:

6 0

3 years ago

Find the area of the missing piece of the polygon and explain your process for finding it:

Otrada [13]

Answer:

Step-by-step explanation:

In short, the sum of the opposite areas are equal.

x + 30 = 24 + 48

x = 42

To prove this, draw a line from each corner to the "center" where the four lines meet. Along each side of the square are two triangles. These triangles have the same base and the same height, and therefore have the same area.

If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:

a + b = x

b + c = 24

c + d = 30

a + d = 48

Adding the first and third equations:

a + b + c + d = x + 30

Adding the second and fourth equations:

a + b + c + d = 24 + 48

Therefore:

x + 30 = 24 + 48

x = 42

8 0

3 years ago