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Paladinen [302]
3 years ago
11

Signs of all six trig functions (Lv1):

Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0

Answer:

4th quadrant

Step-by-step explanation:

Sec in Cartesian form is

\sec(  \alpha  ) =  \frac{r}{x}

In order for sec to be positive, we must have a positive x value so we must be in Quadrant 1 or quadrant 4.

cot is negative so that menas y must be negative so.

The quadrant that has a positive x value and negative y value is 4th quadrant.

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A shirt that is normally 19.95 is on sale for 20% off what is the sale price​
MAVERICK [17]

Answer:

$15.96

Step-by-step explanation:

Sales price = $19.95

Discount = 20%

Amount paid = $19.95 - ($19.95*20%) = $19.95 - $3.99 = $15.96

6 0
3 years ago
Read 2 more answers
The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and ar
Ivenika [448]

Given:

  • the perimeter of a rectangular field is 84 yards
  • the ratio of the length to the width is 2:1

To find:

  • the length
  • the width
  • the area

Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

Perimeter = 2 × (Length + Width)

Substituting the values that we have, into the formula above,

84 = 2 × (2x + 1x)

84 = 2 × 3x

84/2 = 3x

42 = 3x

x = 42/3

x = 14

Since we know the value of 'x', let's use it to find the length and the width.

Length = 2x = 2 × 14 = 28

Width = 1x = 1 × 14 = 14

Since we now know the length and the width, let's find the area of the rectangle.

The formula to find the area of a rectangle:

Area = Length × Width

Substituting the values we have into the formula,

Area = 28 × 14

Area = 392

Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

4 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0
3 years ago
What is the value of 1–5|?
n200080 [17]

Answer:nun ya buisness tho

Step-by-step explanation:

Kkkkkk

3 0
4 years ago
Read 2 more answers
What is the exact volume of the cylinder?
Cloud [144]

The Answer is A. 5070π in3

3 0
3 years ago
Read 2 more answers
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