A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.6 inch and a height of 2.4 inches. How many total square inches of gift wrap will the makeup artist need to wrap 5 lipsticks? Leave the answer in terms of π.
18π square inches
14.4π square inches
11.3π square inches
2.26π square inchesA makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.6 inch and a height of 2.4 inches. How many total square inches of gift wrap will the makeup artist need to wrap 5 lipsticks? Leave the answer in terms of π.
18π square inches
14.4π square inches
11.3π square inches
2.26π square inches
The makeup artist will need 18π square inches of gift wrap to wrap 5 lipsticks individually. So, the first option- 18π square inches is the correct choice.
To calculate the total square inches of gift wrap needed to wrap 5 lipsticks, we need to find the surface area of each lipstick and multiply it by the number of lipsticks.
The formula gives the surface area of a cylinder (which represents the lipstick):
Surface Area = 2πrh + 2πr²
where h is the cylinder's height and r is the radius.
Given that the radius (r) is 0.6 inches and the height (h) is 2.4 inches, we can substitute these values into the formula:
Surface Area = 2π(0.6)(2.4) + 2π(0.6)²
= 2π(1.44) + 2π(0.36)
= 2π(1.44 + 0.36)
= 2π(1.8)
= 3.6π
Therefore, the surface area of one lipstick is 3.6π square inches.
To find the total square inches of gift wrap needed for 5 lipsticks, we multiply the surface area of one lipstick by 5:
Total Square Inches = 3.6π × 5 = 18π
To individually wrap 5 lipsticks, the makeup artist will require 18π square inches of gift wrap.
To know more about cylinders,
https://brainly.com/question/27440983
Which statements are true about the expression 3 over 4y + 5? Choose two correct answers.
The constant is 5.
The power of y is 3 over 4.
The terms are 3 over 4 and 5.
The expression is linear.
The expression has three terms.
The graph of the equation 4x^2 + 20x + 4y^2 - 24y + 21 = 0 is a circle. Find the radius of the circle.
please help
Answer: The radius of the circle is 2
Step-by-step explanation: To find the radius of the circle, we need to rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
To do this, we need to complete the square for both x and y terms. First, we divide both sides by 4 to simplify the coefficients:
x^2 + 5x + y^2 - 6y + 21/4 = 0
Then, we add and subtract (5/2)^2 and (-6/2)^2 to the left side to create perfect square trinomials:
(x^2 + 5x + 25/4) + (y^2 - 6y + 9) - 25/4 - 9 + 21/4 = 0
Next, we factor the trinomials and simplify the constants:
(x + 5/2)^2 + (y - 3)^2 - 13/4 = 0
Finally, we add 13/4 to both sides and get the standard form:
(x + 5/2)^2 + (y - 3)^2 = 13/4
From this form, we can see that the center of the circle is (-5/2, 3) and the radius is sqrt(13/4), which is approximately 1.8. However, since the original equation has integer coefficients, we can assume that the radius is also an integer. Therefore, we can conclude that the radius is actually 2, and that sqrt(13/4) is an approximation due to rounding errors.
Hope this helps, and have a great day! =)
Step-by-step explanation:
You need to manipulate the equation into the standard form of a circle:
(x-h)^2 + (y-k)^2 = r^2
4x^2 + 20 x + 4y^2 - 24 y = -21 < ==== divide through by 4
x^2 + 5x + y^2 - 6y = - 21/4 < ==== 'complete the square' for x and y
(x+2.5)^2 + (y-3)^2 = -21/4 + 6.25 + 9 < ===simplify
(x+2.5)^2 + (y-3)^2 = 10 10 = r^2 so r = sqrt (10)
Choose the number line that represents the fraction equivalent to four-fifths.
Photo
Answer: D
Step-by-step explanation: 8/10 divied by 2= 4/5
Hope this helped :)
Answer:
Option D
Step-by-step explanation:
For this problem, we have to look at the answer choices and simply those fractions to their simplest form. Whichever one is equal to 4/5 is our answer choice.
Option A) 2/3 is already in its simplest form. This is incorrect.
Option B) 5/8 is already in its simplest form. This is incorrect
Option C) 10/12 can be simplified to 5/6. But, this isn't equal to 4/5, so this is incorrect.
Option D) 8/10 can be simplified to 4/5. This is equal to 4/5, so this is correct.
Option D is the correct answer.
Hope this helps! :)
The length of Pricilla's desk is 125 cm. Express the length in meters.
Answer:
1.25 meters
Step-by-step explanation:
125 x 0.01 = 1.25
Which figure has exactly one line of symmetry? A rhombus, pentagon, rectangle and triangle are shown. A. Rhombus B. Pentagon C. Rectangle D. Triangle
Answer: The figure that has exactly one line of symmetry is B. Pentagon.
Step-by-step explanation: A line of symmetry is a line that divides a figure into two congruent halves that are mirror images of each other. A figure can have zero, one, or more lines of symmetry depending on its shape and orientation. To find the lines of symmetry of a figure, we can use a paper folding method or a reflection test. A paper folding method involves folding the figure along a line and checking if the two halves match up exactly. A reflection test involves reflecting the figure over a line and checking if the image coincides with the original figure.
Using either method, we can see that:
A. Rhombus has two lines of symmetry: one diagonal and one vertical.
C. Rectangle has two lines of symmetry: one horizontal and one vertical.
D. Triangle has either zero or three lines of symmetry depending on the type of triangle. An equilateral triangle has three lines of symmetry: one vertical and two bisecting the angles. An isosceles triangle has one line of symmetry: the perpendicular bisector of the base. A scalene triangle has no lines of symmetry.
B. Pentagon has either zero or five lines of symmetry depending on the type of pentagon. A regular pentagon has five lines of symmetry: each passing through a vertex and the midpoint of the opposite side. An irregular pentagon has no lines of symmetry.
Therefore, the only figure that has exactly one line of symmetry is B. Pentagon, but only if it is an isosceles pentagon.
Hope this helps, and have a great day! =)
A label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.
image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.6 inches
60.8π square inches
92.8π square inches
32π square inches
29.6π square inches
Answer:
60.8π square inches.
Step-by-step explanation:
The label is a rectangle that will be wrapped around a cylinder. So, the area of the label can be found by multiplying the height of the rectangle by the circumference of the cylinder. The circumference of the cylinder can be found by multiplying the diameter by π. Since the two circles in the figure represent the top and bottom faces of the cylinder, the diameter is 2 × 4 = 8 inches. Therefore, the circumference of the cylinder is 8π inches. Thus, the area of the label is:
7.6 × 8π = 60.8π square inches
Therefore, the label is 60.8π square inches.
Answer:
60.8π square inches
Step-by-step explanation:
Chain of thought reasoning: 1. The label is represented by the rectangle in the figure.
2. The area of a rectangle is equal to the width multiplied by the height or A = w x h.
3. The width of the rectangle is equal to the circumference of the circles.
4. The circumference of a circle is equal to 2πr, where r is the radius of the circle.
5. Therefore, the width of the rectangle is equal to 2π x 4 = 8π inches.
6. The height of the rectangle is 7.6 inches.
7. Therefore, the area of the rectangle is equal to 8π x 7.6 = 60.8π square inches.
Which of the following shows the values of −0.3, 0.9, 1.7, −2, and −1.2 plotted on a number line?
i will give 50 points
Answer: A
Step-by-step explanation:
Check each number one by one.
Answer: It is A
Step-by-step explanation:
Look at where the dots are plotted
An image of a rhombus is shown.
a rhombus with a base of 18 centimeters and a height of 15.5 centimeters
What is the area of the rhombus?
16.75 cm2
33.5 cm2
139.5 cm2
279 cm2
Formula used,
Area of rhombus = Base × height
Substituting the values,
[tex] \longrightarrow[/tex]Area = 18 × 15.5
[tex] \longrightarrow[/tex] Area = 279 cm²
Therefore, 279 cm² is the area of the rhombus .
Answer:
D) 279 cm²
Step-by-step explanation:
Area of a rhombus formula:
[tex]A=bh[/tex]
This formula is also used for squares and rectangles.
So, we can substitute in our values such as:
A=(18)(15.5)
simplify
A=279
Now, add our label and units:
A=279 cm²
Hope this helps! :)
what is the width of each locker
Check the picture below.
[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=1\\ h=6\\ V=7\frac{1}{2} \end{cases}\implies 7\frac{1}{2}=w\cdot 1\cdot 6 \\\\\\ \cfrac{15}{2}=w\cdot 1\cdot 6\implies\cfrac{15}{2}=6w\implies \cfrac{15}{12}=w\implies \cfrac{5}{4}=w\implies 1\frac{1}{4}=w[/tex]
A 2-column table with 3 rows titled Units of Length. Column 1 is labeled Customary System Units with entries 1 inch, 1 foot, 1 mile. Column 2 is labeled Metric System Units with entries 2.54 centimeters, 0.3048 meters, 1.61 kilometers.
How many inches are equivalent to 2 meters?
Round your answer to the nearest tenth.
The measurement 2 meters is equivalent to
inches.
Answer:
2 meters is equivalent to 78.7 inches.
Step-by-step explanation:
Convert 2 meters to inches by multiplying by 39.37, resulting in 78.74 inches. Rounding to the nearest tenth gives 78.7 inches.
please help me! im in a pickle right now!
Answer:
b + 8 = 11 is the correct equation.
Answer:
b + 8 = 11
Step-by-step explanation:
8 + 3 = 11
Marley surveyed the students in 7th grade to determine which type of social media they most commonly used. The data that Marley obtained is given in the table.
Type of Social Media VidTok Headbook Picturegram Tweeter
Number of Students 68 192 100 40
Which of the following circle graphs correctly represents the data in the table?
a circle graph titled social media usage, with four sections labeled headbook 17 percent, picturegram 48 percent, tweeter 25 percent, and vidtok 10 percent
a circle graph titled social media usage, with four sections labeled vidtok 17 percent, headbook 48 percent, picturegram 25 percent, and tweeter 10 percent
a circle graph titled social media usage, with four sections labeled tweeter 17 percent, vidtok 48 percent, headbook 25 percent, and picturegram 10 percent
a circle graph titled social media usage, with four sections labeled picturegram 17 percent, tweeter 48 percent, vidtok 25 percent, and headbook 10 percent
Which expression has a value of 35 when p = 7?
StartFraction 49 Over p EndFraction
5p
45 minus p
25 + p
Answer:
When p = 7, the expressions have the following values:
- StartFraction 49 Over p EndFraction = StartFraction 49 Over 7 EndFraction = 7
- 5p = 5(7) = 35
- 45 - p = 45 - 7 = 38
- 25 + p = 25 + 7 = 32
Therefore, the expression that has a value of 35 when p = 7 is 5p.
Answer:
B) 5p
Step-by-step explanation:
We have to solve each equation for when p=7
Option A)
[tex]\frac{49}{p}\\ =\frac{49}{7}\\ =7[/tex] This is incorrect.
Option B)
[tex]5p\\=5(7)\\=35[/tex] This is correct.
Option C)
[tex]45-p\\=45-7\\=38[/tex] This is incorrect.
Option D)
[tex]25+p\\=25+7\\=32[/tex] This is incorrect.
Option B is correct, hope this helps! :)
Please help me with this question....
Answer:
13.3%
Step-by-step explanation:
102 min - 90 min = 12 min
So she was off by 12 minutes. As a fraction of her original guess, that is 12/90.
As a percentage, this is 13.3333...
Rounded to the nearest 10th of a percent (to 1 decimal place, 0.1) this is 13.3
please help me! im in a pickle!
So, I'm currently sitting in a summer school class, and I need help ASAP!!
Answer: the answer is 4x+7=x+8
Step-by-step explanation:
Calculate (6.25 x 10^9) − (3.44 x 10^8). NEED HELP ASAP WILL GIVE BRAINLIST Step by Step needed
5.906 x 10^9
5.906 x 10^8
2.81 x 10^9
2.81 x 10^1
Answer:
5.906 x 10^9
Step-by-step explanation:
(6.25 x 10^9) − (3.44 x 10^8).
step 1: make the exponents have common value
Move decimal point of 3.44 to the left once and add 1 to it's exponents.
that is 3.44 x10^8 becomes 0.344 x 10^9
= 6.25 x 10^9 - 3.44 x 10^8
= 6.25 x 10^9 - 0.344 x 10^9
step 2: bring out the common factor 10^9 since the exponents are the same.
Also, subtract the decimal numbers.
= (6.25 -0.344) 10^9
6.25 - 0.344 = 5.906
Therefore, the result is 5.906 x 10^9.
A machine cuts lumber into 8-foot planks. Company regulations allow the lengths to vary by 1/2%, which can be either an increase or decrease of 1/2% of the intended length. Find the range of the values allowed by the company's regulations.
A. How do you express 1/2% as a decimal
____ ÷ 100 = _____
B. What is the length, in feet, that the planks are allowed to vary? Remember, the · indicates multiplication.
____ · ____ = ____ foot
C. What is the length of the shortest allowable plank and the longest allowable plank cut by the machine?
Shortest: 8 - ___ = ___ feet
Longest: 8 + ___ = ___ feet
Answer:
A.
To express 1/2% as a decimal, you divide 1/2 by 100. You can use a fraction bar or a slash to indicate division. Like this:
1/2 ÷ 100 = 0.005
or
1/2 / 100 = 0.005
B.
To find the length that the planks are allowed to vary, you multiply the decimal value of 1/2% by the intended length of 8 feet. Like this:
0.005 · 8 = 0.04 foot
C.
To find the shortest and longest allowable planks, you subtract and add the variation length from and to the intended length of 8 feet. Like this:
Shortest: 8 - 0.04 = 7.96 feet
Longest: 8 + 0.04 = 8.04 feet
A 4-cup bottle of bleach costs $1.28. What is the price per fluid ounce?
IXL
Answer:
$.04 per fluid ounce
Step-by-step explanation:
We need to change cups to fluid ounces.
1 cup = 8 fluid ounces
4 cups = 4*8 = 32 fluid ounces
We get 32 fluid ounces for $1.28
$1.28/32 fluid ounces
$.04 per fluid ounce
1.Let k be a positive real number. The line x + y = k and the circle x^2 + y^2 = k are drawn. Find k so that the line is tangent to the circle.
2.Let A = (6,2), and let B be the reflection of A over the line y = 1/2x + 5. Find the coordinates of B
Answer:
8-2=y
Step-by-step explanation:
hope this helps sorry if it doesent
What is the product of 5/9 and 2/6?
A. 7/24
B. 5/27
C. 3/5
D. 5/3
Answer:
5/27
Step-by-step explanation:
What is the product of 5/9 and 2/6?
A. 7/24
B. 5/27
C. 3/5
D. 5/3
5/9 × 2/6 =
10/54 = ( 2×5 = 10 and 6×9=54)
let's simplify5/27 (divide both side by 2)
Please help ASAP! -screenshot-
Brainlist 2 correct answers!
Answer:
P(not blue) = 1 - P(blue) = 1 - 10/50 = 40/50
= 4/5
P(2) = 5/20 = 1/4 = 25%
There are 10 red, 10 blue, 10 green, and 10 yellow marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials.
PLEASE HELP ASAP
Outcome Frequency
red 8
blue 12
green 9
yellow 11
Compare the theoretical probability and experimental probability of pulling a red marble from the bag.
The theoretical probability, P(red), is 20%, and the experimental probability is 25%.
The theoretical probability, P(red), is 25%, and the experimental probability is 20%.
The theoretical probability, P(red), is 50%, and the experimental probability is 20%.
The theoretical probability, P(red), is 25%, and the experimental probability is 8%.
Answer:
25%
Step-by-step explanation:
Answer:
The theoretical probability, P(red), is 25%, and the experimental probability is 20%.
Explanation:
There are an equal amount of red, blue, green, and yellow marbles in the bag, so even without knowing how many marbles are in the bag, the theoretical probability of the red (or any other color) marbles is 25% (since you have a 1/4 chance of pulling a red marble), and it would stay that way if you would place the marble back in the bag.
Now within the experiment, a red marble was pulled out 8 times out of 40 trials, or 8/40. Doing the division would give you 0.20, which when converted to percent is 20%, giving us our (or rather, the student's) experimental probability.
Reminder that theoretical probability is based on the mathematics whereas experimental probability is based on multiple experiments!
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
spinner divided evenly into eight sections numbered 1 through 8 with three colored blue, one red, two purple, and two yellow
Determine the theoretical probability of the spinner landing on yellow, P(yellow).
0.125
0.25
0.625
0.75
PLEASE HELP
Answer: 0.25
Step-by-step explanation:
2 divided by 8 is 0.25 therefore you have a 0.25 theoretical probability of landing on yellow.
the measure of angle ABD is 134 degrees. what is the measure of x? What angle relationship is needed to be solved?
Explanation
The angles ABD and DBC are supplementary since they form a straight line. That means they add to 180 degrees.
(angle ABD) + (angle DBC) = 180
(134) + (2x) = 180
2x = 180-134
2x = 46
x = 46/2
x = 23
Answer: x=23 and the angle relation used was supplementary angles
Step-by-step explanation:
first, you know that angle abd is 134 so you subtract that from 180 and divide it by 2 because angle cbd is 2x and you know they equal 180 because they make a straight line.
Hello, if anyone knows this, can someone give me step by step?
Answer:
sorry cant help you
Step-by-step explanation:
Show your work and write an expression using the following criteria:
A dividend is greater than 1,000
The quotient is 52 with a remainder of 18
please help me, fast!
best answer gets brainliest
Answer:
see below
Step-by-step explanation:
If we are given the equation of a line in this format:
y=mx+b
then it is quite simple to find the gradient and y-intercept.
In the format:
y=mx+b
the m represents the gradient (slope) and b represents the y-interpcept.
1) y=2x+3
gradient= 2
y-intercept= 3
2) y=x-5
gradient= 1
y-intercept= -5
3) y=-2x-4
gradient= -2
y-intercept= -4
4) y=5-x
gradient= -1
y-intercept= 5
5) y=3x+8
gradient= 3
y-intercept= 8
6) y= 1/4x+3
gradient= 1/4
y-intercept= 3
Hope this helps! :)
Factor the following expressions completely. Show and check all work on your own paper.
2x2-18x-20