The volume of cast iron pipe is 1053.19 in³.
Volume of CylinderThe volume of a cylinder can be calculated by: [tex]\pi *r^2*h[/tex], where:
r = radius
h= height
In this question, the cylinder is represented for a pipe, where:
r = inner diameter= [tex]inner\;diameter=outer\;diameter-2*thickness[/tex]
h= length of pipe
From this, you should apply the volume of the pipe. See the steps:
Step 1 - Find the inner diameterinner diameter=outer diameter-2*thickness
inner diameter=8-2*0.6
inner diameter=8-1.2=6.8 in
Step 2 - Find the volume of the pipe[tex]V_{pipe}=\pi *r_{internal}^2*h\\ \\ V_{pipe}=\pi *(\frac{6.8}{2} )^2*29\\ \\ V_{pipe}=\pi *(3.4)^2*29=1053.19\;in^3[/tex]
The volume of cast iron pipe is 1053.19 in³.
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Gina and Derek saw some trees on their walk through the park. They made a diagram showing the distance between trees.
A line diagram shows 5 points. The points are labeled start, maple tree, oak tree, pine tree, and end. The distance from the start to the maple tree is 5 yards. The distance from the maple tree to the end is 28 and two-sixths yards. The distance from the oak tree to the pine tree is 11 and three-sixths yards. The distance from the pine tree to the end is 7 and five-sixths yards.
What is the distance between the maple tree and the oak tree?
A.
3
4
6
yards
B.
9
yards
C.
19
2
6
yards
D.
23
2
6
yards
The difference between the maple and oak trees is the difference
between [tex]28\frac{2}{6}[/tex] and ([tex]11\frac{3}{6}[/tex] + [tex]7\frac{5}{6}[/tex] ), which is 9 yards.
Response:
The distance between the maple tree and the oak tree is option B.
B. 9 yards
Which methods can be used to determine the distances on the line diagram?The given parameters are;
Start → Maple tree → Oak tree → Pine tree → End
The distance from the start to the maple tree = 5 yards
The distance from the maple tree to the end = [tex]\mathbf{28\frac{2}{6}}[/tex] yards
Distance from the oak tree to the pine tree = [tex]11\frac{3}{6}[/tex] yards
Distance from the pine tree to the end = [tex]\mathbf{7\frac{5}{6}}[/tex] yards
Required:
The distance between the maple tree and the oak tree
Solution;
From the maple to the end, d is given as follows;
d = Maple tree to the end - Distance from the oak tree to the end
Oak to the end = Oak to pine + Pine to end
Therefore;
[tex]Oak \ to \ the \ end = 11\frac{3}{6} + 7\frac{5}{6} = 19\frac{1}{3}[/tex]
Which gives;
[tex]Maple \ to \ the \ oak \ tree = 28\frac{2}{6}- 19\frac{1}{3} = 9[/tex]
The distance from the maple to the oak tree = 9 yards
The correct option is; B. 9 yards
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trigonometry *find the value of x*
[tex] \cos(x) = \frac{b}{h} = \frac{3.8}{6.2} \\ \cos(x) = 0.612 \\ x = \cos^ {- 1} (0.612) = 51 \degree[/tex]
Answer:
x= 61 degrees
Step-by-step explanation:
1. To use trigonometry, you need to take into consideration SOH CAH and TOA. SOH is for sine, CAH is for cosine, and TOA is for tangent.
2. Figure out which one of these you can use. In this case, that would be CAH, which means you use cosine.
3. CAH means the cosine of x equals the adjacent over the hypotenuse. Adjacent is the value that is next to the angle. The hypotenuse is the value of the slant.
4. With that in mind, all you do is plug it into a calculator like so: 3.8/6.2
5. Lastly, you take that answer, move the decimal point up two places, and that's your answer.
how many terms of the A.p 18,16,14 ... be taken so that their sum is zero?
Answer:
19 terms
Step-by-step explanation:
the sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 18 and d = a₂ - a₁ = 16 - 18 = - 2, then solving for n
[tex]\frac{n}{2}[/tex] [ (2 × 18) - 2(n - 1) ] = 0 ( multiply both sides by 2 to clear the fraction )
n(36 - 2n + 2) = 0
n(38 - 2n) = 0 ← distribute parenthesis on left side by n
38n - 2n² = 0 ← factor out 2n from each term on the left
2n(19 - n) = 0
equate each factor to zero and solve for n
2n = 0 ⇒ n = 0
19 - n = 0 ⇒ n = 19
n > 0 , then number of terms is 19
25x^2-40x+16
please help me ahhh i need this im failing algebra bc im missing assignments
12-14 is equally to 2 and here is the answer
HELP QUIKCLY PLEASE DKNT SOAMM IM BEGGING
Jonah runs a bakery, and his most popular item is cinnamon raisin bread. He has two options to purchase raisins.
Grocery store: 9 ounces for $3.75
Bulk order: 5 pounds for $15.25
If Jonah buys the raisins in bulk, what is his savings per ounce? (16 ounces = 1 pound.)
A. $0.11/ounce
B.$0.14/ounce
C. $0.19/ounce
D.$0.23/ounce
Answer:
C. $0.19/ounce
Step-by-step explanation:
We know that 16 ounces = 1 pound but we have 5 pounds,
So, we do 5 times 16.
We get 80 (ounces) and we divided ounces by total cost ($15.25)
We get our answer:
$0.19/ounce
Please help and show working
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
Answer:
64m/h
Step-by-step explanation:
t (time) = d (distance) /v (speed)
t = 281/4.41
t = 63.7
What is the measure of angle B in the triangle?
this triangle is not drawn to scale
[Figured it out themselves (see comments), just putting this here so it stops showing up as unanswered]
how do you multiply and divide with scientific notation
Answer: To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.
Step-by-step explanation:
The sum of
1
2
and
1
5
is between
1
2
and 1.
Is this true yes or no
Answer:
no
Step-by-step explanation:
the sum of the first is 3 and the sum of the next is 6. neither of them are within the range of 1-2 and 1.
100 POINTS!!!
PLEASEEEE HELPPP ASAPPPP!!!
Given the graph of the quadratic function, identify the solutions.
[tex]f(x) = 0[/tex]
Since the function intersects the x-axis at the point (2,0) & (-4,0), we can then say:[tex]solution = \\ x = 2 \\ x = - 4[/tex]
Amy invested $1500 in an account with an interest rate of 6.5%
What will the account balance be in 20 years if the interest is compounded monthly?
Step-by-step explanation:
p=1500
R=10%
t=20yrs
SI=PTR/100
=1500*10*20/100
=3000
amount(A)=P+I
=1500+3000
=4500
Work out
(6.7 x 10^2) + (9 x 10^3)
Х
Give your answer in standard form
HONESTLY help me I don’t understand math
Answer:
15. 2m
17. 1.5m
Step-by-step explanation:
just square root it
HII SOMEONE HELPPP PLEASE ‼️‼️‼️
Answer:
Step-by-step explanation:
Fame age be x and sister's age = y
Five years ago:
Fame's age = x - 5
His sister's age = y -5
[tex]x -5 =\dfrac{1}{6}*(y-5)\\\\[/tex]
Multiply the entire equation by 6
[tex]6*(x-5)=6*\dfrac{1}{6}(y-5)\\[/tex]
6x- 6*5 = y-5
6x - 30 = y - 5
6x -30 + 5 = y
y = 6x - 25--------------(I)
Three year after:
Fame's age = x + 3
His sister's age = y + 3
2*(x +3) = y + 3
2x + 6 = y + 3
2x + 6 -3 = y
y = 2x + 3 -------------(II)
Substitute y = 6x - 25 in equation (II)
6x - 25 = 2x + 3
Add 25 to both sides
6x = 2x + 3 + 25
6x = 2x + 28
Subtract 2x from both sides
6x - 2x = 28
4x = 28
Divide both sides by 4
x = 28/4
x = 7
Substitute x = 7 in equation (I)
y =6x - 25
y = 6*7 - 25
= 42 - 25
y = 17
Fame's age = 7 years
His sister's age = 17 years
4) Let the distance between X and Y be D
Time take by Wie = distance÷ speed
[tex]= \dfrac{D}{75}[/tex]
Time taken by Wary = distance ÷ speed
[tex]=\dfrac{D}{80}[/tex]
Time difference = 10 minutes.
As Wary drives in high speed that Wie, he takes less time
[tex]\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\[/tex]
LcM = 1200
[tex]\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\[/tex]
D = 200 Km
Find the remainder when the polynomial 6x2 + 8x - 2 is divided by x - 2.
Answer:
38
Step-by-step explanation:
x-2 = 0 → x = 2 put this value in polynomial
6(2)² + 8(2) - 2 = 24 + 16 - 2 = 38
there is another way too. but it's longer. you can see it in picture.
Answer:
Did the quiz :)
Step-by-step explanation:
Part A
Directions. Answer each of the following questions.
1. On a train ride cross-country, the trees, buildings, and people appear to be speeding by the
window. This is because the train is our
2. Scientists use the
system for making measurements.
3. Physical science studies the relationships between
and
4. If 6.6 tyrannosaurs weigh 30,000 kg, then what does one tyrannosaur weigh?
5. For most activities, the
makes a handy frame of reference.
Answer:
1.speed im not a robot tho
Step-by-step explanation:
♡
Help po please "•v•
Salamat :)
Answer:
06:56 AM =06:56 H
10:44 AM =10:44 H
10:32 AM =10:32 H
01:09 PM =13:09 H
07:00 AM =07:00 H
FOR 21 POINTS
A triangle has an angle measuring 90°, an angle measuring 20°, and a side that is 6 units long. The 6-unit side is in between the 90° and 20° angles.
How many unique triangles can you draw like this?
Answer:
One
Step-by-step explanation:
Since we have a 90° angle and a 20° angle, the last angle must be 70°.
180° - 90° - 20° = 70°
Now we also have the requirement of a 6-unit side between the 90° and 20° angles.
With all of these requirements, we can only draw one triangle like this since we have an angle, an angle, a required third angle, and a side.
Nick found the quotient of 8.64 and 1.25 × 105. his work is shown below. 1. (8.64 × 101) (1.25 × 105) 2. (8.64 1.25 ) (101 105 ) 3. 6.912 × 10–4 analyze nick’s solution. is he correct? if not, what was his mistake? yes, nick is correct. no, the power multiplied to 8.64 should have an exponent of 0. no, he needed to subtract the coefficients. no, he needed to add the exponents.
The answer will be the power multiplied to 8.64 should have an exponent of 0.
What is the mistake done by Nick?The given expressions are
[tex]=\dfrac{8.64\times 10^1}{1.25\times 10^5}[/tex]
[tex]=(\dfrac{8.64}{1.25}) (\dfrac{10^1}{10^5} )[/tex]
[tex]=6.912\times10^{-4}[/tex]
The power of the number multiplied to 8.64 is 1 which will make it 86.4
So this power of the number should be 0
Thus the answer will be the power multiplied to 8.64 should have an exponent of 0.
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Answer:
B
Step-by-step explanation:
No, the power multiplied to 8.64 should have an exponent of 0.
In ΔABC, m∠A = 119° and m∠B = 49°. Which statement about the sides of ΔABC must be true?
Answer:
It is not true
Step-by-Step:
^ABC, m<A = 119 degrees.
In triangle ABC, side BC is longer and side AB shortest side.
Given that, in ΔABC, m∠A = 119° and m∠B = 49°.
What is the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Using angle sum property, we get
m∠A+m∠B+m∠C=180°
⇒ 119°+49°+m∠C=180°
⇒ m∠C=180°-168°
⇒ m∠C=12°
So, using triangle inequality theorem opposite to angle A, side BC is longer and opposite to angle C, side AB is shortest side.
Therefore, in triangle ABC, side BC is longer and side AB shortest side.
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#SPJ2
A deli sells sandwich spread 6.40 per pound. How much do you pay for 24 ounces
Answer:
$9.60
Explanation: Take the 24 ounces and divide that by 16 to get 1.5 pounds. Then multiply 6.40 by 1.5 and you get the answer of $9.60
The premiter of a rectangular rug is 40 feet. Its length is 12 feet. What is the width
What is the value of X
Answer:
x = 7
Step-by-step explanation:
=> 9/72 = 3x-20/56
=> 9×45/72 = 3x-20
=> 27/3 = x
=> x = 7
Please help i don’t understand this :( 3. Triangle BCD has been dilated by a scale factor of 4. What are the new coordinates of Triangle BCD?
It takes 12 hours to clean the windows of a certain office building. During the
first day of cleaning, the workers were able to clean for 9 hours. If the variable
t stands for the amount of time the workers have left to clean the windows,
which of the following choices is the most reasonable value for ?
O A. 20 hours
O B. 3 hours
O C. 1 hour
O D. 30 hours
Answer:
B: 3 hours
Step-by-step explanation:
Since we know that it takes 12 hours to clean the windows and the cleaners were only able to clan for 9 hours, we just subtract 9 from 12 which gives us the answer:3Hours.
Answer:
B.3hours
Step-by-step explanation:
12-9=3
so the letter T is=3
Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find the number of days, d, that Elena drove to work last week?
Answer:
ok so the equation will be
35d+28=203
-28
35d=175
divide by 35
d=5
she drove to work 5 times
Hope This Helps!!!
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!
Solve for x to the nearest tenth.
Answer:
5.8
Step-by-step explanation:
Pythagorean Theorem:
You have the side 6 and 3. To find x you must make the right triangle.
6-1=5. So the longer side of the tri is 5. Now we will solve:
3^2+5^2=9+25=34. Now we have to square root 34.
[tex]\sqrt{34}[/tex] is approximately = 5.8
Please help me please please please please
Answer:
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]
lets do (1.5, 3.6) and (2.5, 6)
(6 - 3.6) / (1.5 - 2.5)
put answer in comment and i will mark
please put brainest
HELPPPP
does anyone know how to do this
Answer:
1 13 2 16 3 17 4 21
Step-by-step explanation:
i hope this helps
What is the ratio of rise to run between the points (-10, 9) and (6, 5)? A. B. 4 C. D. -4
The ratio of rise to run, which is the slope between the two points is: -1/4.
What is the Slope between Two Points?Slope = ratio of rise to run = change in y/change in x
Given the following points:
(-10, 9) and (6, 5)
Rise = (5 - 9) = -4
Run = (6 -(-10)) = 16
Ratio of rise to run = slope = -4/16 = -1/4.
Therefore, the ratio of rise to run, which is the slope between the two points is: -1/4.
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Answer:
-1/4.
Step-by-step explanation:
Took the quiz and it was correct. Hope this helps.