Is there a regular polygon with an interior angle sum of 9000°? if so, what is it?

Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured

Anarel [89]

Answer: You start to ascend

Explanation:

Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.

Let

$y'$ = y-coordinate after walking due south
$z'$ = z-coordinate (or the height) after walking due south

So, the point where you stand after walking due south has a coordinate of $(100, y', z')$ . Moreover,

$z' = 1,400 - 0.05(100)^2 - 0.01(y')^2
\\ \boxed{z' = 1350 - 0.01(y')^2}$

Since the y-coordinate decreases after walking due south and $z' = 1350 - 0.01(y')^2$ ,

$y' \leq 120\\ \Rightarrow (y')^2 \leq 120^2 = 14,400\\ \Rightarrow -0.01(y')^2 \geq -0.01(14,400) = -144\\ \Rightarrow z' = 1,350 - 0.01(y')^2 \geq 1,350 - 0.01(14,400) = 1,206\\ \Rightarrow \boxed{z' \geq 1,206}$

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.

5 0

3 years ago

Please solve this please

12345 [234]

Answer: The measure of the supplement is 150 degrees. The other angle is 30 degrees.

Step-by-step explanation:

angle: x/5

x+x/5=180

5x+x/5=180

6x/5=180

x=180(5/6)

x=150

Other angle: 150/5=30

or 180-150=30

4 0

2 years ago

if y varies inversely as x and y = 194 when x = -13, find y when x = 50. Round your answer to the nearest hundredth, if necessar

pashok25 [27]

Step-by-step explanation:

Since, y varies inversely as x.

$\therefore \: y = \frac{k}{x} \\ (k = constant \: of \: proportionality) \\ \therefore \: xy = k...(1) \\ plug \: y = 194 \: \: and \: \: x = - 13 \: in \: (1) \\ \therefore \: - 13 \times 194= k \\ \therefore \: k = - 2522 \\ substituting \: k = - 2522 \: in \: (1) \\ xy = - 2522...(2) \\ this \: is \: equation \: of \: variation. \\ plug \: x = 50 \: in \: (2) \\ 50 \times y = - 2522 \\ \therefore \:y = \frac{ - 2522}{50} \\ \huge \red{ \boxed{\therefore \:y = - 50.44}}$

8 0

2 years ago

Choose the correct slope of the line that passes through the points (1, −3) and (3, −5).

murzikaleks [220]

The answer is negative 1 . Because to find slope use formula . M=y2-y1/x2-x1 (1,-3) & (3,-5) -5-3/3-1=-1

7 0

3 years ago

Mario has LaTeX: 2\frac{1}{4}2 1 4 pounds of trail mix. He puts equal amounts of the trail mix into 6 bags for a hike with his f

ioda

Answer:

<h2><em>0.375 pounds </em></h2>

Step-by-step explanation:

Let the amount of trail mix in each bag be x pounds. If Mario has $2\frac{1}{4}$ pounds of trail mix and puts equal amounts of the trail mix into 6 bags for a hike with his friends, the amount of trail mix in each bag can be derives using the expression;

$2\frac{1}{4} = 6 * x$

solving for x

$\dfrac{9}{4} = 6x\\\\2.25 = 6x\\\\divide\ both \ sides \ by \ 6\\\\\dfrac{2.25}{6} = \dfrac{6x}{6} \\\\x = 0.375\\$

<em>Hence 0.375 pounds of trail mix will be in each bag</em>

7 0

2 years ago