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Zarrin [17]
2 years ago
12

Hey! I have some geometry questions today!

Mathematics
1 answer:
Volgvan2 years ago
8 0

Answer:

  • 29
  • 6

Step-by-step explanation:

<h3>Question 1</h3>

It is assumed the chords have equal length: PQ = SR

If the vertexes connected with the center, the both chords will form a right triangle, with the hypotenuse being the radius.

<u>Then the radius is found using Pythagorean theorem:</u>

  • r = \sqrt{20^2 + 21^2} = \sqrt{841} = 29
<h3>Question 2</h3>

<u>Use the intersecting secants theorem: and solve for x:</u>

  • FS*FT = FP*FQ
  • 4(4 + x) = 5(5 + 3)
  • 16 + 4x = 40
  • 4x = 24
  • x = 6
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There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per hour. At
kumpel [21]

Answer:

The required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours and S(x) represents the depth of snow.

There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.

That means the depth of snow will be:

S(x)=1.5x\ \ \ 0\leq x< 4

At  4:00 a.m., it starting falling at a constant rate of 3 inches per hour,

From mid night to 4:00 a.m the depth of snow will be 1.5×4=6 inches.

If we want to calculate the total depth of snow from midnight to 7:00 am we need to add 6 inches in 3(x-4) where 4≤x<7

Therefore,

S(x)=3(x-4)+6\ \ \ 4\leq x

7:00 a.m. to 9:00 a.m., snow was  falling at a constant rate of 2 inches per hour.

From mid night to 7:00 a.m the depth of snow will be 3(7-4)+6=15 inches.

If we want to calculate the total depth of snow from midnight to 9:00 am we need to add 15 inches in 2(x-7) where 7≤x≤9

S(x)=2(x-7)+15\ \ \ 7\leq x\leq 9

Therefore, the required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

8 0
3 years ago
Find the area of a circle with a circumference of 6.28 unitesz
Anni [7]

Answer:

3.14 square units

Step-by-step explanation:

Circumference of a circle = 2πr

2πr = 6.28

r = 6.28/2π

r = 3.142/π

Area of a circle = πr^2

slot in the value of r

Area of the circle = π( 3.142/π)^2

               "              = π(9.87/ π^2)

                "             = 9.87/π

π = 3.14

Area of a circle = 9.867/ (3.14)

              "            = 3.14 square units

                     

8 0
3 years ago
It is recommended to use a Poisson process to model the number of failures in commercial water
OverLord2011 [107]
A research paper recommends using Poisson process to model the number of failures in commercial water pipes The paper also gives estimates the failure rate in units of failures per 100 miles of pipe per day; for four different types of pipe and for many different years_ For example, for cast iron pipe in 2005, the authors' estimate is the failure rate is 0.0864 failures per 100 miles per day: Suppose a town had 2500 miles of cast iron pipe underground in 2005 What is the probability of at least two failures
7 0
2 years ago
If a secretary typed 10,800 words in 2 hours and 30 minutes, how many words per minute did she type? ( Hint: Change hours to min
melamori03 [73]
<h3>Answer:  72 words per minute</h3>

Work Shown:

1 hour = 60 min

2 hours = 120 min (multiplied both sides by 2)

2 hours + 30 min = 120 min + 30 min = 150 min

speed = (number of words typed)/(time taken)

speed = (10800 words)/(150 min)

speed = (10800/150) words per minute

speed = 72 words per minute

4 0
2 years ago
Find the distance between the points.<br><br> (4,6),(9,6)
andrezito [222]

Answer:

5

Step-by-step explanation:

Find the difference between coordinates:

(x²-x1) = (9 - 4) = 5

(y²-y1) = (6 - 6) = 0

Square the results and sum them up:

(5)² + (0)² = 25 + 0 = 25

Now Find the square root

3 0
3 years ago
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