I have a final for summer schoollll due midnight and it’s 10:23!!!!!!!!!!!!

Which set of numbers could be the length of the sides

Svetllana [295]

Answer: Choice C) {6, 9, 12}

=======================================================

Explanation:

Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is not longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.

In short, we can rule out choices A, B, and D.

The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side

6+9 = 15 which is larger than 12
9+15 = 24 which is larger than 6
6+15 = 21 which is larger than 9

So the conditions of the triangle inequality theorem work out here, and we have a triangle.

3 0

3 years ago

Jeremy analyses one of his parachute jumps. He draws a graph showing his velocity up to the opening of his parachute. a) Estimat

jeyben [28]

Answer:

Jeremy's acceleration is about $1\,\frac{m}{s^2}$ at t =10 s

His average speed is about 44.5 m/s in this section of his jump approximating with points on the curve (under-estimate)

His average speed is about 46 m/s if using the tangent line (over estimate)

Step-by-step explanation:

Jeremy's acceleration can be estimated by the curve's derivative at that point. That is the slope of the tangent line to the velocity curve at x = 10 sec. Please see attached image where the tangent line is drawn in orange, and the points to use to calculate its slope are drawn in green.

These points are : (6, 42) and (14,50) which using the slope formula give:

$slope=\frac{y_2-y_1}{x_2-x_1}= \frac{50-42}{14-6}=\frac{8}{8} \frac{m}{s^2} = 1\,\frac{m}{s^2}$

So his acceleration at that point is about $1\,\frac{m}{s^2}$

Now, using about the same interval of x-values (from 6 to 14), the corresponding speeds are approximately: 40 (for time 6 seconds) and 49 (for time 14 seconds (look for the red dots on the attached image). Since the average velocity is given by the integral of the function between those points divided by the length of the interval where it is calculated:

$v_{average}=\frac{area}{interval\,\,length}$

and we don't have the actual velocity function to estimate the integral, we can approximate this area by that of a trapezoid that connects the red dots with the bottom of the horizontal axis (see red trapezoid in the image). Clearly from the image, this approximation would give us an under-estimate of the actual average speed.

The area of this trapezoid is: approximately:

$Trapezoid\,\, area=(49+40)\,8/2=356$

Then the average velocity estimated from it is:

$v_{average}=\frac{356}{8} \frac{m}{s} =44.5\,\frac{m}{s}$

If the area is approximated instead with the trapezoid form by the green points we used to calculate the acceleration (this would give us an over-estimate):

$Trapezoid\,\, area=(50+42)\,8/2=368$

Then the average velocity estimated from it is:

$v_{average}=\frac{368}{8} \frac{m}{s} =46\,\frac{m}{s}$

while his actual instantaneous velocity seems to be about 46 m/s from the graph

4 0

3 years ago

A company is manufacturing a gear in the shape of a regular polygon. The measure of each angle of the gear is 162º. How many sid

jasenka [17]

Let us have a recap first.

For triangle it's 180 degrees in total
Square has 360 degrees in total
Pentagon has 540 degrees total
Hexagon has 720 degrees in total

So these polygons increase by 180 degrees for every side to the polygon starting at three sides instead of one.
Let:

n = number of sides in the polygon

(n-2) * 180 = degrees total inside the polygon
(n-2) * 180 / n = degrees for each angle in polygon

Substitute:

(n-2) * 180 / n = 162
multiply both sides by n
(n-2) * 180 = 162n
then divide both sides by 180

n-2 = 162n / 180
n-2 = 0.9n
subtract 0.9n and add 2 to both sides to get n alone
0.1n = 2

n = 20 sides
Thus,

Icosagon (20-gon) is the term for a 20 sided polygon

8 0

3 years ago

How many 2 inch segments are there is 12 ft? A: 72 B: 24 C: 10 D: 6

o-na [289]

The answer is A.72
to solve you would multiply 12 by 12 to find the number of inches then you would divide by 2

5 0

3 years ago

Read 2 more answers

A 1) List two types of cell division that occur in eukaryotes in State three disperences between the two types of cell drision m

FinnZ [79.3K]

Answer:

A vegetative division, whereby each daughter cell is genetically identical to the parent cell (mitosis), and a reproductive cell division, whereby the number of chromosomes in the daughter cells is reduced by half to produce haploid gametes (meiosis).

Step-by-step explanation:

7 0

2 years ago