Determine the slope between the points (-1, -5) and (5, 4)

What is the second step in costructing congruent angles?

sattari [20]

Answer:

Given an angle formed by two lines with a common vertex, this page shows how to ... The above animation is available as a printable step-by-step instruction sheet, which can be ... This construction works by creating two congruent triangles

Step-by-step explanation:

3 0

3 years ago

HEY LOOK

kobusy [5.1K]

Use tha bustop method. 7 would be the divisor and $35286 would be the dividend

7 0

3 years ago

A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environ

MA_775_DIABLO [31]

A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditionalbulbs. Is there an incentive for this study to be biased? Why or why not?

<span>Yes, because the LED bulb manufacturer may benefit from the survey results.
</span>
If the light bulb distributor will decide get more stock of LED bulb due to the study given by the LED company, then, the LED company will benefit from it.

3 0

3 years ago

Read 2 more answers

Find the six trigonometric function values of the angle θ in standard position, if the terminal side of θ is defined by x + 2y =

Black_prince [1.1K]

Answer:

$\sin \theta = \frac{y}r} = \frac{-1}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = -\frac{\sqrt{5}}{5}\\\\\cos \theta = \frac{x}{r} = \frac{2}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = -\frac{2\sqrt{5}}{5} \\\\\tan \theta = \frac{y}{x} = \frac{-1}{2} = -\frac{1}{2} \\\\\cot \theta = \frac{x}{y} = \frac{2}{-1} = -2\\\\\sec \theta = \frac{r}{x} = \frac{\sqrt{5}}{2} \\\\\csc \theta = \frac{r}{y} = \frac{\sqrt{5}}{-1} = -\sqrt{5}$

Step-by-step explanation:

First, we need to draw the terminal position of the given angle. To do so, we need to find a point that lies on the straight line $x + 2y= 0, x\geq 0$

If we choose $x = 2$ (we can do so because of the condition $x \geq 0$ , which means that any positive value is suitable for $x$ ), then we have

$2 +2y = 0\implies 2 = -2y \implies y = -1$

Therefore, the terminal side of the angle $\theta$ is passing through the origin and the point $(2,-1)$ and now we can draw it.

The angle $\theta$ is presented below.

The distance of the point $(2,-1)$ from the origin equals

$r = \sqrt{2^2 + (-1)^2} = \sqrt{5}$

Now, we can determine the values of the six trigonometric function, by using their definitions.

$\sin \theta = \frac{y}r} = \frac{-1}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = -\frac{\sqrt{5}}{5}\\\\\cos \theta = \frac{x}{r} = \frac{2}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = -\frac{2\sqrt{5}}{5} \\\\\tan \theta = \frac{y}{x} = \frac{-1}{2} = -\frac{1}{2} \\\\\cot \theta = \frac{x}{y} = \frac{2}{-1} = -2\\\\\sec \theta = \frac{r}{x} = \frac{\sqrt{5}}{2} \\\\\csc \theta = \frac{r}{y} = \frac{\sqrt{5}}{-1} = -\sqrt{5}$

6 0

3 years ago

The gestation period of humans (266 days) is___ percent longer than the gestation period of pigs(115 days).

bija089 [108]

If we take 115 to be the 100%, how much is 266 off of it then?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
115&100\\
266&p
\end{array}\implies \cfrac{115}{266}=\cfrac{100}{p}\implies p=\cfrac{266\cdot 100}{115}
\\\\\\
p\approx 231.3$

so 266 is about 231% of 115, which is 131% more than 115.

5 0

3 years ago