the volume of a cylinder is 1,692.46 in cubed. if the radius becomes three times as large, what will be the cylinder's volume?
To find the new volume of the cylinder, multiply the original volume by 9.
Explanation:To find the new volume of the cylinder, we need to find the new radius first. Since the radius becomes three times as large, the new radius will be 3 times the original radius. Next, we substitute the new radius into the volume formula for a cylinder.
V = πr²h
Let's assume the original radius is 'r' and the original volume is 1,692.46 in³. Therefore:
1,692.46 = πr²h
The new radius will be 3r, so the new volume becomes:
V = π(3r)²h = 9πr²h
So, the new volume of the cylinder will be 9 times the original volume or 9 * 1,692.46 = 15,231.14 in³.
In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost. The function below represents the cost of mailing one letter in this country.
f(c)=0.42 + 0.20[x-1]
Josiah has two letters. The first weighs 2.9 ounces, and the second weighs 4.1 ounces. What is the total amount Josiah can expect to pay for postage?
$1.62
$1.64
$1.84
$2.04
Answer:
Total amount Josiah can expect to pay for postage is:
$ 1.84
Step-by-step explanation:
cost of mailing one letter in the country is:
f(x)=0.42 + 0.20[x-1]
The first weighs 2.9 ounces, and the second weighs 4.1 ounces.
Cost of mailing first letter=0.42+0.20(2.9-1)
=0.42+0.38
=$ 0.8
Cost of mailing second letter=0.42+0.20(4.1-1)
=0.42+0.62
=$ 1.04
total cost=$(0.8+1.04)
=$ 1.84
Hence, total amount Josiah can expect to pay for postage is:
$ 1.84
What is the value of y?
The value of [tex]y[/tex] in the given figure, using the rule of angle sum property and linear pair will be [tex]65\\[/tex].
According to angle sum property, the sum of all the sides of a triangle will be [tex]180^o[/tex].
A linear pair is defined as two neighboring angles that sum up to 180° or two angles which result in a line or a straight angle when combined, or it can be said that the sum of linear pair is supplementary.
In the given figure,
∠[tex]x + 130^o = 180^o \ \ \ (linear pair)\\\x = 50^o[/tex]
Now, In triangle ABC, using angle sum property:
[tex]A+B+C= 180^o\\50^o + y + y = 180^o\\50^o + 2y = 180^o\\2y = 130^o\\y = 65^o\\[/tex]
Thus, the value of [tex]y\\[/tex] in the given triangle is [tex]65^o\\[/tex].
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The figure is added below.
30kx-6kx=8 solve for x
Answer:
1/3k
Step-by-step explanation:
30kx -6kx=8
We can operate the two terms in left because they are similar
24kx = 8
We divide by 8 both sides
3kx = 1
Finally, we divide by 3k both sides
x = [tex]\frac{1}{3k}[/tex]
Answer: x = 1/3k
Step-by-step explanation:
z
help subtraction problem
5.30 - 3.75
the dimensionn of the box that a radio came in are 12in. 8in by 5in
The volume of the box is calculated by multiplying its length, width, and height together. The volume of the box that the radio came in is 480 cubic inches.
Explanation:The dimensions given for the box are its length (12in.), width (8in.), and height (5in.). In mathematics, you can use these three dimensions to calculate the volume of the rectangular box. The volume of a rectangular box is calculated by multiplying these three dimensions together. So, the volume of the box is 12in. * 8in. * 5in. = 480 cubic inches. Remember, when you multiply three dimensions together, the unit is cubic (inches cubed in this case), because you're dealing with a three-dimensional space.
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ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F. Therefore, which equation must be true? m∠DEF = m∠D 'F 'E '
Final answer:
The equation m∠DEF = m∠D'F'E' must be true following a 90° clockwise rotation of ∆DEF, because rotations preserve angle measures.
Explanation:
When a geometric figure such as ∆DEF is rotated 90° clockwise about a point A, to create ∆D'E'F, corresponding angles in the two triangles will be equal. This is true because a rotation is a type of rigid motion, which preserves angle measures. The equation m∠DEF = m∠D'F'E' must be true because the angle at F in the original triangle ∆DEF becomes the angle at E' in the rotated triangle ∆D'E'F, given the preservation of angle measures through rotation.
Therefore, for such geometric transformations, it's crucial to understand that rotations do not alter the internal angles of the shape being transformed, which is consistent with the rules of plane geometry. This principle is useful in solving many problems that involve the rotation of figures within a plane.
mila wants to spend at least $20 on a classified ad in the newspaper. She has $12, how much does she need?
I need an equation with an inequality please:) thank you!
Mila needs at least $8 more to reach her goal of spending $20 on a classified ad. The inequality to represent this problem is x ≥ 8, where x is the amount of additional money she needs.
If Mila wants to spend at least $20 on a classified ad and currently has $12, we need to figure out how much more money she needs. We denote the amount of money she needs with the variable x. An inequality that represents this situation is:
12 + x ≥ 20
Subtracting 12 from both sides of the inequality to isolate x, we get:
x ≥ 20 - 12
x ≥ 8
So, Mila needs at least $8 more to have enough for the classified ad.
Tara has 2 bags of marbles. The first bag contains 6 red marbles,5 blue marbles and 4 green marbles.The second bag contains 3 red marbles,2 blue marbles, and 4 green marbles.Tara will randomly select 1 marble from each bag.What is the probability that Tara will select a blue marble from each bag?
Answer: Tara will have a 2/27 probability of choosing a blue marble from each bag
solution: First, we need to find the probability for the first bag using (p= number of outcomes/ total of outcomes), the number of outcomes is 5, and the total is 15, so our probability for bag 1 is 5/15.
Then, for the second bag, the number of outcomes is 2, and the total is 9, so the probability for the second bag is 2/9
To find the probability for both of the bags, we have to multiply them: 5/15 × 2/9= 10/135=2/27
HELP PLZ ASAP!!!!!!!!!!!
THX
What fraction of 55 is 33? Please show work!?
Jasmine paid 25 for two binders and pack of pens the pack of pens costs 5 what is an equation you can use to find the price of each binder!
Can someone see if I did this right I got 8937.5
What is the first quartile of the data set? {51, 42, 46, 53, 66, 70, 90, 70} A-48.5 B-59.5 C-61 D-80
Answer:
I'm positive the answer is 48.5
Which box-and-whisker plot best represents the data?
34, 36, 38, 40, 45, 45, 48, 50, 52, 60
The box-and-whisker plot which best represents the data is graph A
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Let the data of the box plot be represented as A
Now , the value of A is
A = 34, 36, 38, 40, 45, 45, 48, 50, 52, 60
So , the median of the data is given by
M = ( 45 + 45 ) / 2
M = 45
Now , the box plot which represents the median at 45 is graph A
Hence , the box plot is solved
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lou has 1/2 of a circular pizza left over from a party. he takes a third if it as a snack and evenly splits up the rest to share with his three brothers. Assuming that Lou cuts slices from the center of the straight edge, what are the angles of the slices of pizza. Select two that apply.
There are 64 cookies in a jar. The probability of randomly choosing an oatmeal cookies from the jar in 37.5%. How many of the cookies are not oatmeal cookies
what is
[tex] \frac{8}{2} \times 3[/tex]
One of the UK lottery systems consists of selecting six numbers from forty-nine for a one-pound stake. The winning numbers are drawn at random and the order is not important. Determine the probability that a randomly selected set of six numbers will win the lottery.
4.167 × 10-6
8.63 × 10-7
5.467 × 10-6
7.15 × 10-8
Will mark branliest
Answer:
The last answer is correct
PLEASE HELP, ASAP!
The diagram shows the view from the top of a rectangular building and the lawn around the building. The building and lawn form the shape of a trapezoid.
What is the area of the lawn?
Enter your answer in the box.
Aiden mixes 630 mL of blue paint with 2 L of red paint to make purple paint how many milliliters of purple paint does Aidan have
! 10 POINTS !
please help me
to avoid a large shallow reef a ship set a course from point a and traveled 24 miles east to point b . the ship them turn and traveled 33 miles south to point c. if the ship could have traveled in a straight lime from point a to point c about how many miles could it have saved
The density of glass is 2.6 g/cm3 and the density of lead is 11.3 g/cm3. Does this mean there are more particles of lead in 1 cm3 or that the lead particles are heavier than the glass particles? Give reasons for your answer.
A higher density means that lead is heavier than glass for the same volume, signifying that lead particles are both heavier and more numerous in a given volume than the glass particles.
Explanation:The density of a substance tells us how much mass is in a given volume, and it is expressed in g/cm³. Comparing the densities of glass (2.6 g/cm³) and lead (11.3 g/cm³), we can say that a given volume of lead is much heavier than the same volume of glass. This could mean either there are more lead particles or the lead particles are heavier. But from atomic physics, we know that individual lead atoms are indeed heavier than individual silica atoms (which make up glass). Therefore, the higher density of lead signifies that the lead particles are both more numerous and heavier in a given volume than the glass particles.
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Michael saw a Sunday suit he wanted at the store. The cost of the suit was $96. A few days later he saw that the suit was marked 1/4 off. How much does the suit cost now?
If the measure of angle H is 64°, which angles in the diagram have a measure of 116°?
There should be more than 1 answer
A) Angle G
B) Angle F
C) Angle B
D) Angle A
E) Angle E
F) Angle C
G) Angle D
Arlen has a recipe for lasagna that serves 8 people and uses 2 teaspoons of garlic. How many teaspoons of garlic will be used to make a lasagna that serves 4 people?
A 1 teaspoon
B 2 teaspoon
C 3 teaspoon
D 4 teaspoon
Please help kinda lost thank you
Paige has a membership to a new website. It costs $5 a month and then each song costs $0.10 to purchase. Write and equation using S to represent the number of songs that she purchased if she spends $8.20 one month. How many songs did she buy?
Perform the operation 8 1/2 + 5 1/8
This is an EXPLAIN YOUR THOUGHTS question. Be sure to answer ALL parts of the questions and include all your work!
Task: Find the volume of the figure below. (Hint: divide them into two figures you know how to solve for).
Part a) What is your strategy, ie what shapes can you divide the figure into to find the volume?
Part b) What eqautions will you use to find the VOLUME? First state the general equations. Then include the known values into the equation.
Part c) What is the VOLUME? (don't forget units!)