Answer:
Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).
Step-by-step explanation:
Given : diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters.
To find : volume of the roll of pennies.
Solution : We have given that
Diameter of a penny = 19.05 millimeters.
Width of each penny = 1.52 millimeters.
Volume of cylindrical roll of penny = pi * r² * h
Where, r = radius , h =height
Radius = [tex]\frac{Diameter}{2}[/tex]
Radius= [tex]\frac{19.05}{2}[/tex].
Radius = 9.525 mm
Plugging the values of r , h and pi = 1.14.
Volume of cylindrical roll of penny = pi * r² * h
Volume of cylindrical roll of penny =3.14 * (9.525)² * 1.52
Volume of cylindrical roll of penny = 433.02 mm³
Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).
Therefore, Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).
I suck at math lol. Could someone give me the answers in detail? Picture attached! Thanks
Can someone help with this math question
A triangle has side lengths of 10 centimeters, 2 centimeters, and c centimeters.
Enter a value to complete the inequality that describes the possible values for c, the length of the third side of the triangle.
HELP ASAP I COULD GET A PRESIDENTIAL AWARD FOR THIS!!!
Answer:
12
Step-by-step explanation:
The possible values of the third side of the triangle can be written as, 8 < c < 12.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given a triangle.
Side lengths of the triangle are 10 centimeters, 2 centimeters, and c centimeters.
We have to find the possible values of c.
By the triangle Inequality Theorem,
10 - 2 < c < 10 + 2
8 < c < 12
Hence the possible values of c are 9, 10 and 11.
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N a class, 20% of the students are male and 80% female. among male students, 40% wears eyeglasses; among female students, 30% wear eye glasses. if we select a student from the class at random, what is the probability that the student wears eyeglasses
5u exponent 7 - 21u exponent 7
Simply
Suppose you have an isosceles triangle, and each of the equal sides has a length of 1 foot. suppose the angle formed by those two sides is 45^\circ. then the area of the triangle is
The area of a given isosceles triangle with sides of 1 foot in length and a 45-degree angle between these sides is 0.5 square feet.
Explanation:The area of an isosceles triangle can be calculated using the formula 1/2 base times height. But since we know that the triangle is isosceles and the angle between the equal sides is 45 degrees, this forms a 45-45-90 degree triangle which is a special kind of triangle. In a 45-45-90 degree triangle, the lengths of the sides are in the ratio 1:1:√2. Therefore, the length of the base (which also serves as the height in this case) will be the same length as the equal sides, 1 foot. Substituting these into the formula for area, we get Area = 1/2 * 1 ft * 1 ft = 0.5 square feet.
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The area of the parallelogram is 65 square miles. Find its base and height.
Q9 Q3.) Solve the matrix equation 4X + 5A = B
What percent of the scores were between 71 and 96
a cube with side length s has a volume of 216 cubic centimeters. the equation s^3 = 216 shows the volume of a cube. what is the side length of the cube in centimeters
Suppose that 44% of all Americans approve of the job the President is doing. The most recent Gallup poll consisted of a random sample of 1,400 American adults.
a. What is the mean of the sampling distribution?
b. What is the standard deviation of the sampling distribution (don't forget to justify the use of the formula)?
c. Describe the normal approximation for this sampling distribution (don't forget to justify this) You can simply write as N (mean, standard deviation)
d. What is the probability that the Gallup poll will come up with a proportion within three percentage points of the true 44%
A standard dartboard has a diameter of 18 in. What is its area to the nearest square inch?
If the volume is 56 1/4 cubic feet and the length is 7 1/2ft and the width is 3 3/4ft what is the height?
2.
Find the annual percentage rate, using the annual percentage rate table.
Amount Financed: $8,900
Finance Charge: $1,030.62
Number of Payments: 24
The foci of the hyperbola are ( 13 , 0) and (− 13 , 0), and the asymptotes are y = 12 x and y = − 12 x. find an equation of the conic section with the given properties. use x and y as the variables in your answer.
The equation of the conic section is [tex]\frac{145x\²}{24336} - \frac{145y\²}{169}=1[/tex]
The foci of the hyperbola are given as: (13,0) and (-13,0)
The asymptote is given as [tex]y =\pm 12x[/tex]
Divide both sides of [tex]y =\pm 12x[/tex] by x.
[tex]\frac yx = \pm 12[/tex]
Where y/x = a/b.
So, we have:
[tex]\frac ab = \pm 12[/tex]
Make a the subject
[tex]a = \pm 12b[/tex]
Recall that
[tex]c\²=a\²+b\²[/tex]
Where:
[tex]c = \pm13[/tex]
[tex]c\²=a\²+b\²[/tex] becomes
[tex](\pm 13)^2 = (\pm 12b)^2 +b^2[/tex]
[tex]169 = 144b^2 +b^2[/tex]
Evaluate like terms
[tex]169 = 145b^2[/tex]
Make b^2 the subject
[tex]b^2 = \frac{169}{145}[/tex]
Recall that [tex]a = \pm 12b[/tex]
Square both sides
[tex]a^2 = 144b^2[/tex]
Substitute [tex]b^2 = \frac{169}{145}[/tex]
[tex]a^2 = 144 \times \frac{169}{145}[/tex]
[tex]a^2 = \frac{24336}{145}[/tex]
The equation of the conic section is represented as:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
Substitute known values
[tex]\frac{x^2}{24336/145} - \frac{y^2}{169/145} = 1[/tex]
Rewrite as:
[tex]\frac{145x\²}{24336} - \frac{145y\²}{169}=1[/tex]
Hence, the equation of the conic section is [tex]\frac{145x\²}{24336} - \frac{145y\²}{169}=1[/tex]
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solve the system using substitution method
3x+y=6
2x-4y=10
Someone please help.
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what is the solution to the equation 3sqrt(5x-4)=3sqrt(7x+8)
Answer:
The answer is: 'no solution'
Step-by-step explanation:
The given equation is: [tex]3\sqrt{5x-4}=3\sqrt{7x+8}[/tex]
Dividing both sides of the equation by 3, we will get.....
[tex]\sqrt{5x-4}=\sqrt{7x+8}[/tex]
Taking square on both sides.....
[tex](\sqrt{5x-4})^2=(\sqrt{7x+8})^2\\ \\ 5x-4=7x+8\\ \\ 5x-7x=8+4\\ \\ -2x=12\\ \\ x=\frac{12}{-2}=-6[/tex]
Plugging this [tex]x=-6[/tex] back to the given equation......
[tex]3\sqrt{5(-6)-4}=3\sqrt{7(-6)+8}\\ \\ 3\sqrt{-34}=3\sqrt{-34}[/tex]
As we are getting a negative number inside the square root, so the equation becomes imaginary. Thus [tex]x=-6[/tex] is a restricted value.
Hence, there is 'no solution' for this equation.
A die is continuously rolled until the total sum of all rolls exceeds 375. what is the probability that at least 90 rolls are necessary?
Final answer:
To find the probability of at least 90 rolls being necessary for the total sum of all rolls to exceed 375, we need to consider the probabilities associated with each roll.
Explanation:
To find the probability of at least 90 rolls being necessary for the total sum of all rolls to exceed 375, we need to consider the probabilities associated with each roll.
The maximum possible sum from a single roll of a six-sided die is 6, so after 90 rolls, the maximum possible sum is 90 * 6 = 540. If the total sum exceeds 375, it means that at least one roll resulted in a value greater than 2.
To calculate the probability, we need to find the complement of the event that the total sum is less than or equal to 375, which is the event of the total sum being greater than 375. Let's assume that the probability of rolling a value greater than 2 is p. The probability of at least 90 rolls being necessary is 1 - (1 - p)^90.
write an expression that represents the difference between t and 8
If the radius of a cone is doubled and the height is tripled, what happens to the volume?
Iris is building a model of the Washington Monument. Her model measures 15 in. tall and is 1.5 in. wide at the base. The actual width measurement at the base of the Washington Monument is about 55 ft. About how tall is the Washington Monument?
Answer: 550
Step-by-step explanation:Solve the proportion: 15 in./1.5 in. = h/55 ft. The value of h is 550 ft. The Washington Monument is about 550 ft tall.
if an object is propelled upward from a height of s feet at an initial velocity of v feet per second h=-16t^2+96t+8 after how many seconds is the height 116 feet?
What is the value of x in the equation –6 + x = –2?
8
4
–4
–8
Ted researched the price of airline tickets and discovered a correlation between the price of a ticket and the number of miles traveled. After recording his data on a scatter plot, he determined the equation for the line of best fit is y = 300 + 0.45x. What does 0.45 represent in the equation? A) the lowest ticket price B) the number of miles traveled C) the expected change in the price of multiple tickets Eliminate D) the expected change in price of the ticket for each mile traveled
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4
Given the lengths of the major and minor axes of an ellipse, one can derive the standard form equation of the ellipse. In this example, the lengths were 16 and 4, yielding a standard form equation of x²/4 + y²/64 = 1.
Explanation:The subject of this question is about finding the standard form equation for an ellipse given the lengths of the major and minor axes. To find the equation of the ellipse, we need to identify the semi-major axis (a) which is half the length of the major axis, and the semi-minor axis (b), which is half the length of the minor axis.
In this case, the lengths of the major and minor axes are 16 and 4 respectively, which gives us a semi-major axis of 8 and a semi-minor axis of 2. The standard form equation of an ellipse with a vertical major axis is given by:
(x-h)²/b² + (y-k)²/a² = 1
Where (h, k) is the center of the ellipse. In this case, since the center of the ellipse is at the origin (0,0), the equation becomes:
x²/4 + y²/64 = 1
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The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of a lateral face is 105 cm2. Find: the volume of the prism
dr. Trekcir has $875 to invest. he invests some of it in account#1 paying 8% annual interest and the rest of it in account#2 paying 4% annual interest. After 1 year total interest is $49.00. find hou much is invested in each account