What is the surface area of a piece of pipe that is open at both ends, has a radius of 6 inches, and a height of 18 inches? (Use 3.14 for π.)
The surface area of an open-ended pipe with a radius of 6 inches and a height of 18 inches is 678.24 square inches. The calculation is based on the formula for the circumference of the circle, which is multiplied by the height of the cylinder.
To calculate the surface area of a pipe that is open at both ends, we need to find the area of the outer surface. Since the pipe is a cylinder without the top and bottom circles, the surface area is simply the circumference of the circle (which is the edge of the openings) times the height of the cylinder. The formula for the circumference of a circle is C = 2πr, where r is the radius.
The radius is given as 6 inches and the height is 18 inches, therefore:
Circumference (C) = 2πr = 2 × 3.14 × 6 inches = 37.68 inches.The surface area (SA) of the pipe is C × height = 37.68 inches × 18 inches = 678.24 square inches.b-4/6=b/2. Solve for b.
2(b−4)=6(b) 2b - 8 = 6b 2b - 6b = 8 -4b = 8 Now you can solve.....
Solve and graph the absolute value inequality: |2x + 4| > 8. number line with open circles on negative 6 and 2, shading in between. number line with closed circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 2 and 2, shading going in the opposite directions.
Final answer:
The inequality |2x + 4| > 8 is resolved by considering the inside expression being greater than 8 and less than -8, which leads to x > 2 and x < -6. The proper representation on a number line is with open circles on -6 and 2, shading away from these points, indicating the range of solutions.
Explanation:
To solve the absolute value inequality |2x + 4| > 8, we must consider the two scenarios that could make the inequality true: when (2x + 4) is greater than 8 and when -(2x + 4) is less than -8. Absolute values denote the distance from zero, so they are never negative. Since the inequality is strict (indicated by '>'), we will use open circles in the graph.
First, let's consider when the expression inside the absolute value is positive:
2x + 4 > 8
2x > 4
x > 2
This scenario corresponds to all x-values greater than 2.
Now for the negative scenario:
-(2x + 4) > 8
-2x - 4 > 8
-2x > 12
x < -6
This scenario corresponds to all x-values less than -6.
The correct graph of the solution set on a number line would have open circles on -6 and 2, with shading going in opposite directions away from these points, indicating all the numbers greater than 2 and all the numbers less than -6 satisfy the original inequality.
Based on this, the third choice is correct: A number line with open circles on negative 6 and 2, shading going in the opposite directions.
What is 788 divided by 14 in a long division model?
Find the greatest common factor of the monomials. 16x, 36x ...?
Final answer:
The greatest common factor of the monomials 16x and 36x is 4x, obtained by finding the common prime factors of 16 and 36 and including the variable x, which is present in both monomials.
Explanation:
To find the greatest common factor of the monomials 16x and 36x, we need to break each monomial into its prime factors and compare them.
Prime factors of 16 are 2 x 2 x 2 x 2.
Prime factors of 36 are 2 x 2 x 3 x 3.
Both 16 and 36 have two 2's in common.
Therefore, the GCF of 16 and 36 is 2 x 2 = 4. Since x is present in both monomials, x is also part of their GCF.
The greatest common factor of the monomials 16x and 36x is therefore 4x.
A steel plate has the form of a quarter of a circle with a radius of 49 cm. Two 2-cm holes are to be drilled in the plate. Let (X1,Y1) and (X2,Y2) be the coordinates of the centers of the holes. Find the coordinates for both holes.
The task is to determine the coordinates of two 2-cm holes in a quarter-circle steel plate, but there is insufficient information to provide a precise location without additional details or constraints.
Explanation:The question requires us to find the coordinates for the centers of two 2-cm holes to be drilled in a steel plate, which is shaped like a quarter of a circle with a radius of 49 cm. Assuming the plate is positioned with its corner at the origin (0,0), with the circular edge encompassed by the positive x-axis and positive y-axis, the holes should be placed in such a way that their centers within the quarter circle are equidistant from the axes and from the plate's circular edge.
However, the question does not provide sufficient information or constraints about the location of the holes within the quarter-circle plate. To determine the exact coordinates, we need more specifics, such as how far from the edges or any other centering constraints for the holes. Without this additional information, there are infinitely many possible coordinates for the holes that meet the given condition of being within the quarter-circle plate.
If the holes are to be evenly distributed and placed symmetrically, a possible choice could be to align the centers of the holes along the line y = x, which bisects the quarter-circle. Yet, without precise instructions, we cannot provide a definitive answer to the coordinates of the holes.
Learn more about Coordinates Determination here:https://brainly.com/question/20338587
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What is the fifth root of -32?
The fifth root of -32 is -2. To find it, think of a number that, when raised to the power of 5, gives the original number.
The fifth root of -32 is -2. To find the fifth root of a number, we can think of it as finding a number that, when raised to the power of 5, gives us the original number. In this case, -2 * -2 * -2 * -2 * -2 = -32.
Pleeease help!!
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-2,1);m=7
Where is the dependent variable plotted on a line graph?
The linear function f(x) passes through the points (1,2) and (3,0).
A few values from the exponential function g(x) are shown in the table
What is the positive difference in the y-intercept of f(x) and g(x)?)
Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.
Option 1: $53 for each ticket plus a shipping fee of $10
Option 2: $55 for each ticket and free shipping
What is a system of equations to represent the costs of the tickets?
Express your equations in the form of y=mx+by=mx+b where x is the number of tickets purchased and y is the total cost.
Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. the cone has a height of 4.5 inches and a radius of 1.5 inches.
The cone of dimension 4.5 inches height and 1.5 inches radius can hold 9.425 inches^3 of ice cream.
A sugar cone can be seen as a three-dimensional object, specifically a cone, which has a known formula for calculating its volume.
Volume of a cone: (1/3) x π x radius2 x height
Substituting the given values: (1/3) x π x 1.52 x 4.5 = 9.425 inches^3.
What is the decimal expansion of the following fraction?
1/4
1.4
0.14
___
0.25
0.25
What Rate Of Simple Interest Is Needed For $700 To Double,In 3 Years?
What are prime numbers of 50?
HELP!! Not hard, just confusing.. ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?
A′(-3, 3), B′(-1, 1), C′(-2, 3)
A′(3, -3), B′(1, -1), C′(2, -3)
A′(3, -5), B′(1, -7), C′(3, -5)
A′(-3, 3), B′(-1, 1), C′(-2, -3)
Answer:
1st one : A′(-3, 3), B′(-1, 1), C′(-2, 3)
Step-by-step explanation:
below
If $2500 is invested at an interest rate of 2.5% per year, compouded daily, find the value of the inevestment after 2 years
what does it mean for an equation to be balanced and why must you keep an equation in balance?
Find the distance between -422 and 166.
What is 324 divided by 6??
Goran is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $93 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m .
Your car gets 20 miles per gallon of gas. This is 4 more miles per gallon than your friend's car gets. How many miles per gallon does your friend's car get?
Answer:
Answer:
16 miles per gallon
Step-by-step explanation:
Given the trinomial 5x2 - 2x - 3, predict the type of solutions.
Two rational solutions
One rational solution
Two irrational solutions
Two complex solutions
Answer:
Two rational solutions. This is the right answer
Step-by-step explanation:
What is the lateral area of a pyramid with base edges 5ft and surface area 55ft^2? ...?
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.
12x – y = –4
4x – 3y = –6
Answer
4x – 3(–12x – 4) = –6
4(12x + 4) – 3y = –6
4(–12x – 4) – 3y = –6
4x – 3(12x + 4) = –6
...?
Answer:
the answer to this question is 4x - 3(12x + 4) = -6 hope this helps
can u do this bro 100x7+8-678x56
Answer:
-37260
Step-by-step explanation:
did it in my head
What is 2/3 times 26 but estimated ?
You work at a dog food factory. The factory makes 10,600 kilograms of dog food a day. How many metric tons of dog food does the factory make a day?
if 2tanA=3tanB,then prove that tan(A-B)=sin2B/(5-cos2B) ...?
If A is an obtuse angle in a triangle and sin A is 5/13, calculate the exact value of sin 2A