The Fabric storage box below is shaped like a rectangular prism how much fabric is needed to cover the exterior of the box
Answers
Answer:
2952 square centimeters are needed to cover the exterior of the box.
Step-by-step explanation:
We need to cover five external faces of the box. The surface area formula ([tex]A_{s}[/tex]), measured in square centimeters, is derived from surface area formula for parallelpiped:
[tex]A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h[/tex] (1)
Where:
[tex]w[/tex] - Width, measured in centimeters.
[tex]l[/tex] - Length, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
If we know that [tex]w = 36\,cm[/tex], [tex]l = 23\,cm[/tex] and [tex]h = 18\,cm[/tex], then the outer surface area of the storage is:
[tex]A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)[/tex]
[tex]A_{s} = 2952\,cm^{2}[/tex]
2952 square centimeters are needed to cover the exterior of the box.
Related Questions
Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?
Answers
Answer:
Beck actually caught 45 fish
Step-by-step explanation:
System of Equations
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
Answer:
Beck caught 45 fish
Step-by-step explanation:
a = number of fish Ally caught
b = number of fish Beck caught
They caught a total of 75 fish, so we have:
b + a = 75
From the facts in our question we know Ally would have caught 75 fewer fish than Beck.
3b = 2a + 75
a = 75 - b
3b = 2(75 - b) + 75
3b = 150 - 2b + 75
5b = 225
5b ÷ 5 = 225 ÷ 5
b = 45
Beck caught 45 fish.
Sketch the graph of y=4x2^+32x+15 using your graphing calculator. What are the x intercepts of this graph?
Answers
Answer:
x= -15/2 or -7.5
x= -1/2 or -0.5
Step-by-step explanation:
please make me brainliest
Answer:
Not C
Step-by-step explanation:
wrong
If m∠4 = 101.9°, find each of the following in degrees.
(a) m∠5
(b) m∠8
Answers
Answer:
m<5=101.9 m<8=101.9
Step-by-step explanation:
alternate interior and vertical angles
Answer:
(a) m∠5=<4[alternate angle]=101.9°,
(b) m∠8=<5[vertically opposite angle]=101.9°,
The Maine Public Health Department reported that there have been 90 flu cases requiring hospitalization in Portland, ME (population of 70,000) since the beginning of 2018 - today is July 4th, 2018. On February 1st, 2018, 43 of those cases were hospitalized. What was the prevalence rate of flu cases requiring hospitalization thus far in 2018?
Answers
Answer:
The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:
= 0.13%
Step-by-step explanation:
a) Data and Calculations:
Population of Portland, ME = 70,000
Number of flu cases requiring hospitalization on February 1st, 2018 = 43
Number of flu cases requiring hospitalization on July 4th, 2018 = 90
The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%
b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.
HELP HELPOPPPP-EWOPW0E HELP PLSSSSS
Answers
Answer:
6 more girls than boys
Step-by-step explanation:
5 out of 12 are boys (multiply both sides of equation by 3 because 3x12 = 36)
7 out of 12 are girls (multiply both sides of equation by 3 because 3x12 = 36)
so: 15 out of 36 are boys
so: 21 out of 36 are girls
21-15 = 6 more girls than boys
Answer: There are 6 more girls than boys
Step-by-step explanation:
To find how many more girls there are we need to find what one block equals to.
We use this equation to find it.
36 = ( 5 + 7 )x
36 = 12x
3 = x
or
x = 3 (same thing)
So each block represents 3 girls/boys
The girls have 2 more meaning there are 6 more girls than boys.
What is the answer. I can’t figure out the formula
Answers
9514 1404 393
Answer:
Angles 4, 5, 6, 7, 8, 9 are 82°Angles 1, 2, 3, 10, 11, 12 are 98°Step-by-step explanation:
Angles are related in this geometry by being either congruent or supplementary. Corresponding and vertical angles are congruent; any linear pair of angles is supplementary.
The given angle 5 is on the southwest corner of the intersection of the parallel line with the transversal. All southwest and northeast angles are congruent to that. That is, angles 4, 5, 6, 7, 8, 9 will all have the same measure. The remaining angles will have the supplementary measure.
Angles 4, 5, 6, 7, 8, 9 are 82°
Angles 1, 2, 3, 10, 11, 12 are 98°
_____
As you know, supplementary angles total 180°, so each is found by subtracting the other from 180°: 180° -82° = 98°.
What is 5/10 = x/100
Answers
Answer:
= 50
Step-by-step explanation:
A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the bakery sold that day?
Answers
Answer:
120
Step-by-step explanation:
We know that 36 is 30% of total items
So our equation would be 36/? = 30/100
From there we cross multiply so 36x100 = 3600
From there, we divide 3600 by 100
Therefore, your answer is 120
Solve the equation and show all your work. 7x = 4x + 15
Answers
Answer:
x=5
Step-by-step explanation:
subtract 4x from both sides
7x-4x=4x-4x+15
3x=15
divide by 3 on both sides
3x/3=15/3
x=5
Can someone please help me with continuity? I would like to check my work, I’m a bit confused on the differentiability part
Answers
For f to be continuous at some point x = c, you require that
• f(c) exists and is finite, and
• the limits of f as x approaches c from either side match, and their value must be f(c)
For f to be differentiable at x = c, you require that
• f is continuous at c (i.e. the above conditions are all met), and
• the derivative f ' is continuous at c
Without having the graph of f ', you can assess whether the last condition is met by some function by mentally tracing a tangent line to the graph as you get closer to c. If the slope of the tangent doesn't change, then the function is differentiable. This is usually accompanied by jumps or sharp corners in the graph.
Some examples:
• every polynomial is both continuous and differentiable
• the absolute value function |x| is continuous but not differentiable at x = 0
• 1/x is neither continuous nor differentiable at x = 0
(a) Neither continuous nor differentiable
Why? f has a vertical asymptote at x = -2 and f (-2) does not exist. f is not continuous, and therefore not differentiable.
(b) Neither continuous nor differentiable
Why? From the left, f is approaching 2.5, while from the right, it's approaching 5.
(c) Neither continuous nor differentiable
Why? The limits from either side of x = 2 match and are equal to 0.5, but f (2) itself does not exist (which is indicated by the point being a hollow circle).
If the circle was instead filled in, so that f (2) = 0.5, then f would be continuous there, but still not differentiable. Notice the sharp corner. Or, using the tangent-line analysis, the slope of the tangent to the left of x = 2 is negative, but to the right it would be positive.
(d) Both continuous and differentiable
Why? f doesn't have any special features at x = 3 that would suggest it's not continuous nor differentiable.
(e) Neither continuous nor differentiable
Why? Similar reasoning as in (a). There's another vertical asymptote, but the graph shows f (4) = 1. However, the limits from either side of x = 4 are positive infinity, not 1.
Use the coordinates of the labeled point to find the point-slope equation of
the line
812-18
O A. y + 1 = -2(x - 2)
O B. y-2-2(x+1)
O C. y- 1 = -2(x + 2)
O D. y-2 = 2(x + 1)
Answers
(0,3) and (2,-1) are points on the line.
slope = (-1-3)/(2-0) = -2
Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)
m = -2
(x₀, y₀) = (2,-1)
y+1 = -2(x-2)
Answer: y+1 = -2(x-2) is the correct answer
Step-by-step explanation: I just took the exam :)
A student council sells 44 bouquets for $176. Which equation represents the
relationship of x bouquets to y dollars?
Answers
Answer:
[tex]y = 4x[/tex]
Step-by-step explanation:
Given
[tex]x = 44[/tex]
[tex]y = 176[/tex]
Required
Determine the relationship between x and y
First, we calculate the unit rate, using:
[tex]y = kx[/tex]
Where k is the unit rate.
Substitute 176 for y and 44 for y
[tex]176 = k * 44[/tex]
Divide both sides by 44
[tex]\frac{176}{44} = \frac{44*k}{44}[/tex]
[tex]\frac{176}{44} = k[/tex]
[tex]4 = k[/tex]
[tex]k = 4[/tex]
Substitute 4 for k in [tex]y = kx[/tex]
[tex]y = 4x[/tex]
Hence, the relationship between x and y is: [tex]y = 4x[/tex]
Julie drank 2/3 liter of water monday before going jogging she drank 5/7 liter of water after her jog how much water did julie drink altogether answer in mixed number
Answers
Answer:
1 8/21
Step-by-step explanation:
5/7 = 15/21
2/3 = 14/21
15/21+14/21=29/21
Solve the following problems. Rajesh jogged 3/4 mile and then walked 1/6 mile to cool down . how far did he travel?
Answers
Answer: 11/12 or if you want to pit it in decimal
Use 0.90
Step-by-step explanation:
Jack is going to make treat bags to hand out on
Halloween. He is going to put a variety of candy in each
bag. To make 4 treat bags he will need 24 candies. How
many candies will he need to make 10 treat bags?
Answers
Answer:
60 candies
Step-by-step explanation:
Explanation:
Since there are 24 candies for 4 treat bags, you divide the amount of candies into the 4 bags. This gives you 6 candies per bag. Multiply 6 by 10(number of treat bags) to get 60.;)
What is the value of x?
Answers
3x = 96 divide both sides by 3
x= 32°
Which of these polygons is not a regular polygon?
B
С
D
А
B
A
Answers
Answer:
B. A regular polygon is a shape with sides that are all equal to each other.
We see that for shape B, the sides are not equal to each other, as some sides are longer than others.
Hope this helps!
Write the equation for the graphed function
Answers
Answer:
4x² + 16x + 15 = 0
Step-by-step explanation:
We'll begin by determining the solutions to the graph.
The solutions to the graph is obtained by taking the values where the graph cut through the x–axis. This is illustrated below:
The solutions to the graph are:
x = –1.5 or –2.5
Finally, we shall determine the equation for the graph as follow:
x = –1.5 or x = –2.5
x = –3/2 or x = –5/2
Cross multiply
2x = –3 or 2x = –5
Rearrange
2x + 3 = 0 or 2x + 5 = 0
Combine
(2x + 3)(2x + 5) = 0
Expand
2x(2x + 5) + 3(2x + 5) = 0
4x² + 10x + 6x + 15 = 0
4x² + 16x + 15 = 0
Thus, the equation for the graph is:
4x² + 16x + 15 = 0
In triangle DEF, if the measures of angles D and E are equal, and the measure of
angle F is 26, what are the measure of angles D and E?
Your answer
Answers
Answer:
77 = m∠D = m∠E
Step-by-step explanation:
In a triangle the sum of the measures of the angles = 180. So m∠D + m∠E + m∠F = 180
Let m∠D = m∠E = x
Then x + x + 26 = 180
2x + 26 = 180
2x = 154
x = 77 = m∠D = m∠E
A small water bottle holds 75% as much as a larger water bottle, if the smallholds 36 units, how much does a large hold
Answers
Answer:
48 units
Step-by-step explanation:
36 is 75% of what number
36 = .75n
n = 36/.75
n = 48
determine whether a triangle with these side lengths would be acute, right, or obtuse: 5, 7, and 10;
Answers
Answer:
obtuse
Step-by-step explanation:
Let 5 = a, 7 = b, 10 = c
if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem
If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4
if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3
a^2 = 25
b^2 = 49
c^2 = 100
25 + 49 < 100, therefore the triangle is an obtuse
Your friend has one week to pay the $26 fine for a parking ticket. After that, the fine Increases $7 each week.
Answers
A scientist wants to measure out .62liters of a liquid, but she can only find a beaker that measures volume in milliliters. How many milliliters should she measure to equal .62liters?
Answers
Answer:
620 milliliters
Step-by-step explanation:
1 milliliter= 0.001 liters
0.62L= move the decimal point 3 places to the left
0.62
06.2
062.
0620.
620 milliliters
if x is subtracted from 5 and the result is greater than 15. Find the range of values of x
Answers
Answer:
x<-10
Step-by-step explanation:
You can write this inequality:
5-x>15
Solving it:
5-x>15
-x>10
x<-10
WILL MARK BRAINLIST JUST ANSWER QUICKLY
A puddle originally contained 5 gallons of water. After a hot day, only 3.5 gallons of water remain.
What is the percent decrease?
Enter your answer in the box.
Answers
Answer:
The answer is 30%
Step-by-step explanation:
((5-3.5)/5) × 100%
Answer:
30%
Step-by-step explanation:
the other guy is right
In detail and with multiple examples, describe how you can use math in your daily life. it needs 15 to 16 sentence i will give you brainest help me plzzz
Answers
Balancing the checkbook
Shopping for the best price
Preparing food
Figuring out distance, time and cost for travel
Understanding loans for cars, trucks, homes, schooling or other purposes
Understanding sports (being a player and team statistics)
Playing music
Baking
Home decorating
Sewing
Gardening and landscaping.
Hope I was able to help!
evaluate the following algebraic expression for the given value of x.
4x-5 where x=5
Answers
Answer:
15 is answers
x=5
Step-by-step explanation:
4x-5
4×5-5
20-5
15
solve and receive brain list
Answers
Answer:
x = 19/22
Step-by-step explanation:
8x-12+36x = 26
44x - 12 = 26
44x = 38 (add 12 on both sides)
x = 19/22 (divide bot sides by 44 and simplify)
please help me find this out please
Answers
Answer:
can you zoom in on the questions?
Step-by-step explanation:
Can anyone help me pweeezzzz
Answers
Answer:
17
Step-by-step explanation:
ABC, which is 9z - 1, and CBD, which is 6z + 58, make up ABD, which is a total of 87 degrees.
in order to find the measurement of ABC, you first need to solve for z.
since ABC and CBD make up ABD, add those measurements and set them equal to 87, which is the measure of ABD.
9z - 1 + 6z + 58 = 87
combine like terms starting with the z terms. (it doesn't matter which like terms you combine first)
9z - 1 + 6z + 58 = 87 ⇒ 15z - 1 + 58 = 87
combine the next set of like terms.
15z - 1 + 58 = 87 ⇒ 15z + 57 = 87
subtract 57 from both sides of the equation. it'll cancel itself out on the left, leaving you with 15z = 30 after subtracting 57 from 87.
divide both sides of the equation by 15.
15z/15 = 30/15 ⇒ z = 2
now, plug in 2 for z in each of your equations for the measurements of ABC and CBD.
ABC = 9z - 1 ⇒ 9(2) - 1 ⇒ 18 - 1 ⇒ 17
CBD = 6z + 58 ⇒ 6(2) + 58 ⇒ 12 + 58 ⇒ 70
now, your measurements are
ABD: 87
ABC: 17
CBD: 70
check your work by adding the measurements of ABC and CBD and setting them equal to ABD, or 87.
17 + 70 = 87
87 = 87
since both sides of the equation are equal to 87, you know that your measurements are correct.
therefore, the measure of ABC is 17 degrees.