The water supply uses huge concrete pipes to drain stormwater.
a Find the external radius of a pipe.
b Find the Internal radius of a pipe.
c Find the volume of concrete necessary to make one pipe.
Answer:
a. External radius is 0.5 m.
b. Internal radius is 0.45 m.
c. Volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].
Step-by-step explanation:
a. It can be observed that the diameter of the pipe is 1 m.
External radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{1}{2}[/tex]
= 0.5
External radius = 0.5 m
b. Internal radius of the pipe can be determined by;
Internal radius = [tex]\frac{internal diameter}{2}[/tex]
But,
Internal diameter = 1 m - (2 x 0.05 m)
= 1 m - 0.10 m
= 0.9 m
Internal diameter = 0.9 m
So that,
Internal radius = [tex]\frac{0.9}{2}[/tex]
= 0.45
Internal radius = 0.45 m
c. Volume of concrete required = [tex]\pi[/tex][tex]r_{e} ^{2}[/tex]h - [tex]\pi[/tex][tex]r_{i} ^{2}[/tex]h
where [tex]r_{e}[/tex] is the external radius, and [tex]r_{i}[/tex] is the internal radius.
Volume of concrete required = [[tex]\frac{22}{7}[/tex] x [tex](0.5)^{2}[/tex] x 2.5] - [[tex]\frac{22}{7}[/tex] x [tex](0.45)^{2}[/tex] x 2.5]
= 1.9643 - 1.5911
= 0.3732
The volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].
The scale on a map is 2 cm = 25 miles. Dave measured the distance to the next town at 5 cm. How many miles away is the next town?
Answer: 62.5 miles
2cm / 25 miles = 5cm / x
Cross multiply
125 = 2x
x = 62.5 miles
How many terms are in the expression 9a+6b+3c+1
Answer:
4
Step-by-step explanation:
Make a line through a addition, subtraction, division, or multiplication sign and on each side of the line is a number and each number is a term.
plz help Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth.
Answer:
The theoretical probability of choosing a letter other than Z is 96.2%
Step-by-step explanation:
On average, Colby has noticed that 21 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probability that at most 6 trains will pass his house in a 12-hour time period
Answer:
10.16% probability that at most 6 trains will pass his house in a 12-hour time period
Step-by-step explanation:
We are dealing with the mean during a period of time, so we use the Poisson distribution to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Colby has noticed that 21 trains pass by his house daily (24 hours)
We are working with 12 hour periods(half of 24), so [tex]\mu = \frac{21}{2} = 10.5[/tex]
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
What is the probability that at most 6 trains will pass his house in a 12-hour time period
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-10.5}*(10.5)^{0}}{(0)!} = 0[/tex]
[tex]P(X = 1) = \frac{e^{-10.5}*(10.5)^{1}}{(1)!} = 0.0003[/tex]
[tex]P(X = 2) = \frac{e^{-10.5}*(10.5)^{2}}{(2)!} = 0.0015[/tex]
[tex]P(X = 3) = \frac{e^{-10.5}*(10.5)^{3}}{(3)!} = 0.0053[/tex]
[tex]P(X = 4) = \frac{e^{-10.5}*(10.5)^{4}}{(4)!} = 0.0139[/tex]
[tex]P(X = 5) = \frac{e^{-10.5}*(10.5)^{5}}{(5)!} = 0.0293[/tex]
[tex]P(X = 6) = \frac{e^{-10.5}*(10.5)^{6}}{(6)!} = 0.0513[/tex]
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0 + 0.0003 + 0.0015 + 0.0053 + 0.0139 + 0.0293 + 0.0513 = 0.1016[/tex]
10.16% probability that at most 6 trains will pass his house in a 12-hour time period
can you guys answer this ?
Answer:
-7
...................
What is the sum of 18+516+38
?
A.
932
B.
1332
C.
916
D.
1316
Answer:
None of the above
The answer is 572
Step-by-step explanation:
Hope this helps! :)
Answer:
1332
Step-by-step explanation:
please tell me if wrong
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
1/4 is the clope of the line
Step-by-step explanation:
a slope is just a rise ofver run from one dot to anothor so you go up 1 and over 4 and if you dont do the 2 dots that are closest to each other you have to simplify you r exspresion you will always get 1/4 on this graph
Of the 29 houses on Jason's street, 3 are made out of brick. Approximately what percent of the houses are brick?
Answer: 0.87 percent are brick houses
Step-by-step explanation:
1. What was the high temperature on Day 7?
2. On which days was the high temperature 61 degrees?
3. Is the high temperature a function of the day? Explain how you know.
4. Is the day a function of the high temperature? Explain how you know.
Answer:
1. 60 F
2.days- 2, 4, 6
3. yes, the function inputs the time of day and predicts the temperature
4. No, the temperature is function of the time of day
PLEASE ANSWER WILL TELL JOKE IF U ANSWER!
Answer:The answer is wrong
Explanation: When it says 3/4 it's saying that their were more chocolate cupcakes that were iced than there was vanilla.
which of the following is true?
1 plus 1 equals 4
18 minus 2 is 4
13 plus 5 equals 9
10 minus 11 is -1
Use similar triangles to calculate the height of triangle abc 10 cm
С
B
36 cm
h
A
E
20 cm
a small town buys a total of 35 books that cost $1022. Some of the books cost $22 each, and the remainder cost $34 per book. How many books of each price did they get
Answer:
They got 14 books at $22 and 21 books at $34.
Step-by-step explanation:
From the information given, you can write the following expressions:
x+y=35 (1)
22x+34y=1022 (2), where:
x is the number of books that cost $22
y is the number of books that cost $34
First, you can solve for x in (1):
x=35-y (3)
Then, you can replace (3) in (2) and solve for y:
22(35-y)+34y=1022
770-22y+34y=1022
12y=1022-770
12y=252
y=252/12
y=21
Finally, you can replace the value of y in (3) to find x:
x=35-y
x=35-21
x=14
According to this, the answer is that they got 14 books at $22 and 21 books at $34.
6(a+4)=72
Help please
Answer:
6(a+4)=72
6a+24=72 -24
6a=48 ÷6
a=8
Step-by-step explanation:
hope it helps ^^
which of the following is closest to the area of the shaded regions below
Answer:
B 113 cm^2
Step-by-step explanation:
The probability that an event will happen is P(E)= 0.33 Find the probability that the event will not happen.
Answer:
0.67
Step-by-step explanation:
The probability that the event will not happen is 1 - 0.33 and that is 0.67
Need help fast!!!
Point P has coordinates (1, 3). Point Q has coordinates (4, 8). How long is the line segment? Round to the nearest tenth if necessary.
Answer:
0
Step-by-step explanation:
0
2. What is the value of 6x – 3y if x = 5 and y = 1
F.11.
G.33
H.6 with an exponent of 5
I.65
Step-by-step explanation:
x=5,y=-1
6(5)-3(-1)=30+3=33
answer G .33
What’s the area of the triangle?
Answer:
25
Step-by-step explanation:
a= 2 A/b siny
Answer:im pretty sure its 84
Step-by-step explanation:a=(axb)/2
a=(7x24)=168/2=84
Ramon read 12 pages in 20 min. How many pages can he read in 30 min?
Answer:
18 pages
Step-by-step explanation:
20 : 2 = 10 minutes
12 : 2 = 6 pages
10 x 3 = 30 minutes
3 x 6 = 18 pages
In a collection of 40 coins, 45% of the coins are nickels? How many nickels are in the
collection?
F 20
G 15
H 18
J 24
you have 36 chapters you read two chapters every day how many days will it take you to read all 36 chapters
Answer:
18 days
Step-by-step explanation:
brailiest please!
elisse has 20 meters of ribbon how many 15 cm of ribbon can be cut from it
Answer:
133 pieces of 15cm can be cut from the ribbon.
Step-by-Step Explanation:
Length of ribbon = 20 meters
Length needed to be cut = 15 cm
We will convert meters into centimeters.
1 meter = 100 cm
20 meters = 2000 cm
Number of pieces = [tex]\frac{2000}{15}[/tex]
Number of pieces = 133.33
Rounding off to nearest whole number = 133
Hence,
133 pieces of 15cm can be cut from the ribbon.
Elissa can cut 133 ribbons from 20 meters long ribbon and this can be determined by using the unitary method.
Given :
Elisse has 20 meters of ribbon.
The following steps can be used to determine the total number of ribbons of length 15 cm can be cut from 20 meters ribbon:
Step 1 - Remember 1 meter is 100 cm.
Step 2 - If 1m is 100 cm then 20m is equal to:
[tex]=20\times 100[/tex]
= 2000 cm
Step 3 - Elisse cut 15cm long ribbon. So, the total number of ribbons she can cut is:
[tex]=\dfrac{2000}{15}[/tex]
Simplify the above expression.
= 133.334
[tex]\approx[/tex] 133
So, she can cut 133 ribbons from 20 meters long ribbon.
For more information, refer to the link given below:
https://brainly.com/question/16807456
20 less than 5 times a number is 85. What is the number
Answer: I don’t understand the question??
Step-by-step explanation: Can you say the question again like the same way the homework does
Maggie has already run 14 miles on her own, and she expects to run 1 mile during each
track practice. How many track practices would it take for Maggie to run 44 miles?
Answer:
30
Step-by-step explanation:
44 - 14 = 30 more
Answer:
30 practices
Step-by-step explanation:
The price of a shirt is $18.50, but you have a coupon that lowers the price by 20%. What is the price of the shirt after using the coupon?
Answer:
18.50 * 20% = 3.7
18.50 - 3.7 = 14.8
The price of the shirt is $14.80
Step-by-step explanation:
Answer:
13.70
Step-by-step explanation:
18.50 times .20 gives u 3.7 so 14.80
What is x-19=31?.....
Answer: x= 50
Step-by-step explanation:
hope i helped
-3(4y – 5 + 0) – 3y help
Answer:
If you´re solving for the value of y, it´s 5/6
Step-by-step explanation:
-3(4y-5+0)-3y=0
-12y+15-0-3y=0
-15y+15-3y=0
-15 -15
-15y-3y=-15
-18y=-15
-18 -18
y=-15/-18 (simplified is 5/6)
Hurry plz will give u brainliest
Answer:
3
Step-by-step explanation: