How many triangles can the polygon below be divided into? A polygon with 10 sides. 6 7 8 9

Why do the diagonals of a square intersect at their midpoints?

UNO [17]

<span>The diagonals of the square are the same length and also perpendicular to each other, being perpendicular means that they meet at a 90 degree angle. The intersection where the two diagonals meet forms 4, 90 degree angles which creates a circle.</span>

7 0

3 years ago

A squirrel climbs up a tree. She starts at 0.5 feet up the tree, then climbs at a steady pace for 7.5 seconds. She ends 4 feet u

Xelga [282]

Given :

A squirrel climbs up a tree. She starts at 0.5 feet up the tree, then climbs at a steady pace for 7.5 seconds.

She ends 4 feet up the tree.

Solution :

Now, distance covered is :

d = 4 - 0.5 = 3.5 feet.

Time taken, t = 7.5 seconds.

Distance climbed per second is :

$D =\dfrac{d}{t}\\\\D=\dfrac{3.5}{7.5}\\\\D = 0.467\ feet/s$

Therefore, distance climber per second is 0.467 feet.

Hence, this is the required solution.

4 0

4 years ago

Flying against the jetstream, a jet travels 4960 miles in 8 hours. Flying with the jetstream, the same jet travels 2940 miles in

oksian1 [2.3K]

Answer:

Velocity of jet in still air is 800mph hour and velocity of wind is 180mph

Step-by-step explanation:

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

#Jet's velocity against jet-stream is:

$v_i=\frac{4960}{8}\\\\=620\ mph$

#Jet's velocity with jet-stream:

$v_{ii}=\frac{2940}{3}\\\\=980\ mph$

#The velocity against jet-stream is x-y and with jet-stream is x+y:

$x-y=620\\\\x+y=980\\\\\#add \ the \ two \ equations\ to \ eliminate \ y\\\\2x=1600\\\\x=800\\\\y=980-800=180$

Hence,velocity of jet in still air is 800 mph hour and velocity of wind is 180 mph.

3 0

3 years ago

Suppose that the log-ons to a computer network follow a Poisson process with an average of 3 counts per minute. (a) What is the

vampirchik [111]

Answer: a) 0.333, b) 0.333 and c) 0.9986.

Step-by-step explanation:

Since we have given that

Average = 3 counts per minute = λ

a) What is the mean time between counts ?

Since it follows a Poisson Process, So,

$E[x]=\dfrac{1}{\lambda}=\dfrac{1}{3}=0.333$

(b) What is the standard deviation between counts ?

$\sigma=\dfrac{1}{3}=0.333$

(c) If it is an average of 3 counts per minute, find the value of such that .

If the average = 3 counts per minute.

Then, $P(X$

Hence, a) 0.333, b) 0.333 and c) 0.9986.

6 0

3 years ago

The following data are arranged in ascending order and the median of the data is 60.

choli [55]

The median of the data is 60. That means the two middle numbers divided by 2 = 60.

(x + x + 2) / 2 = 60...multiply by 2
2x + 2 = 120
2x = 120 - 2
2x = 118
x = 118/2
x = 59

x + 2 = 59 + 2 = 61

so ur numbers go : 26,29,42,53,59,61. 70, 75, 82, 93

8 0

3 years ago