Answer:
i. The company should use the cylindrical tubes.
ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
Step-by-step explanation:
i, Which packaging should the company choose?
The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.
For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.
So, ,A = 2(lb + lh + bh)
,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)
A = 2(24cm + 56 cm + 21cm)
A = 2(101 cm²)
A = 202 cm²
For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.
Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.
So, A' = 2πr(r + h)
A' = 2π(3 cm)(3 cm + 6cm)
A' = (6π cm)(9 cm)
A' = 54π cm²
A' = 169.65 cm²
Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
The company should use the cylindrical tubes.
ii. Justify your choice.
This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.
Answer:
The rounded answer would lead you to 603.
If this is wrong in sorry.
The volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
What will be the volume of the cylinder?Given that
The diameter d=8 inches r= 4 inches
The height of the cylinder h=12 inches
the volume of the cylinder will be
[tex]V= \pi r^2h[/tex]
[tex]V=\pi\times (4)^2\times 12[/tex]
[tex]V=602.88\ Inch^2[/tex]
Thus the volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
To know more about the Volume of cylinders follow
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If 5x-3=3x+5, what is the value of 2X-8? 5
Answer:
5x-3=3x+5
5x-3x=5+3
2x=8
x=8/2
x=4
Therefore,
Value of 2x-8
Substitute the value of x
2(4)-8
8-8=0
If you are helped with my answer pls tag me brianliest
I really want it
Plss
THANK you.....
help me asap please
Step-by-step explanation:
1st - false
2nd - true
3rd - false
Answer:
it is true, true, false. your welcome
A rectangle and a triangle have the same area.
The dimensions of the rectangle are 3 cm and 10 cm. The base of the triangle is 6 cm.
What is the height of the triangle? How do you know?
Answer:
Height of the triangle = 10 cm
Step-by-step explanation:
Given:
Dimensions of rectangle = 3 cm , 10 cm
Base of triangle = 6 cm
Find:
Height of the triangle
Computation:
Given that area of rectangle is equal to area of triangle
So,
(l x b) = (1/2)(b)(h)
(3 x 10) = (1/2)(6)(h)
30 = 3(h)
h = 10
Height of the triangle = 10 cm
factorise it
[tex]v[/tex]
Answer:
2(x – ½)(x + ½)
Step-by-step explanation:
2x² – ½
The above expression can be factorised as follow:
2x² – ½
2 is common to both 2 and ½. Thus,
2x² – ½ = 2[x² – ¼]
Recall
(½)² = ¼
Thus,
2[x² – ¼] = 2[x² – (½)²]
Difference of two squares
2(x – ½)(x + ½)
Therefore,
2x² – ½ = 2(x – ½)(x + ½)
WILL VOTE BRAINLIEST, 50 POINTS
Answer:
-1
Step-by-step explanation:
[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]
PLEASEEEEE HELPPP MEE THIS IS LITERALLY MY 10TH TIME POSTING AND IM LOSING POINTS PLSS HELP MEEE I WOULD HAVE A MENTAL BREAKDOWN PLS
Answer:
8
Step-by-step explanation:
it's 8 because parallel lines have equal slopes
Please answer with explanation and standard form
Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
Answer:
y=(2/7)x+(7/3)
Step-by-step explanation:
y=-7/2(x)+9
y=mx+c
Therefore, slope of line y is -7/2
Because line y perpendicular to the required line
Therefore, slope of the required line is 2/7
x+y=10 ........(1)
3x-4y = -12 ......(2)
(1) x 4:
4x+4y =40 ......(3)
(3) + (2)
4x+4y+3x-4y=28
x=4
by substituting x=4 into (1), we have
y=10-4=6
Therefore, the point that the line intersects is (4, 6)
let y=(2/7)x+c be the required equation
(4, 6):
6=(2/7)4+c
c=21/4
therefore, the required equation is y=(2/7)x+(7/3).
SOMEONE PLEASE HELP!!!!! I’m not quite sure
Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest
Step-by-step explanation:
Two names for the angle formed by the dashed rays are? (I have to put down 3 letters)
Answer:
ZGK and DGS
Step-by-step explanation:
(6,3); (1,4)
Slope
Giving brainless answer
Answer:
-(1/5)
Step-by-step explanation:
Well slope is basically
(y2-y1) / (x2-X1)
Subsitute in those numbers and solve, you’d get -(1/5)
The price of a watch was increased by 20% to £198.
What was the price before the increase?
Answer:
$165 Hope this helps! May I have brainliest? I need to level up?
Step-by-step explanation:
To find the original price before the increase, divide the new price by 1 + the percent of increase.
198 / 1.20 = 165
The original price was $165
Please help! Will give brainlist if correct! :(
Answer:
Rounding can be referred to as a replacement of a number with another number that is equivalent to it. Rounding can be used to shorten a given number without depriving it of its original value. For example, we have to round 56.89. We can round it as replacing it with 57 which is the closest value to 56.
Rounding numbers isn't that difficult task. In fact, it's quite interesting and easy to do. For rounding, all you are required to do is to figure out which decimal place of the number you want to round off. There are different methods to round off numbers. You can round off numbers to Half Up/Down, Round-Up/Down Round Half to Even/Odd, and So on. Anyhow, here, we are concerned with "To What Place You Want to Round Off a Number". This can be illustrated.
To know how rounding calculator works you just have to understand the way the numbers are rounded off to a particular decimal place. Following is a list of the places to which a number can be rounded off: 1. Ones 2. Tens 3. Hundreds 4. Thousands 5. Ten Thousands 6. Millions 7. Tenths (1 decimal place) 8. Hundredths (2 decimal place) 9. Thousandths ( 3 decimal place) 10. Ten Thousandths (4 decimal place) 11. Hundred Thousandths (5 decimal place) 12. Millionths (6 decimal place)
Step-by-step explanation:
Math problem help please
Answer:
I say B.
Step-by-step explanation:
sorry if I'm wrong. Have a nice day :)
A large tank holds 5 x 10^7 gallons of oil. How much oil can be stored in 27 tanks?
Write your answer in scientific notation.
Answer:
i dunno do the math
Step-by-step explanation:
A farmer sells 7.1 kilograms of pears and apples at the farmer's market. 1/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
your answer gonna be 4 1/10 that's your answer
What is it? This is science
Answer:
i believe C is correct :)
Answer:
The answer you got was correct.
Step-by-step explanation:
Predation means the preying of one animal on others,or more simplified,the action of attacking or plundering.
I’ll give brainliest!!!!! Pls help ASAP
Answer:
[tex]\sqrt[4]{x^{7} }[/tex]
Step-by-step explanation:
this is the same concept basically as simplifying [tex]\sqrt{x}[/tex] into [tex]x^{\frac{1}{2} }[/tex]. You can see that the denominator is in front of the radical and that any numbers in the numerator are the power of the number underneath.
There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Complete question :
There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Answer:
1 /9
Step-by-step explanation:
Capacity of container = 3 gallons
Amount of gallons in container = 1/3 gallon.
Fraction of water in container:
Division equation :
Amount of gallon in container / capacity of container
1 /3 ÷ 3 = 1/ 9
Multiplication equation :
1/3 of 1 gallon
Capacity of container = 3 gallons
1/ 3 * inverse of 3
1/3 * 1/3 = 1/9
PLEASE HELP ME ON THIS QUESTION AND DONT GUESS ASAP!!!!!!!
Answer:
25 ft ........................
Answer:
25.13ft or 25ftStep-by-step explanation:
hope this helps :)
can somebody help with this??????
Answer:
6
Step-by-step explanation:
The equation can be made more clear by changing the form.
g(h(0)) = ?
All we have to do is find the y values for an x value of 0
h(x) = x^2 - 3
h(0) = 0^2 - 3
h(0) = -3
So now we plug in -3 for g(x)
g(x) = -2x
g(-3) = -2(-3)
g(-3) = 6
Tammy sang 4 songs. Every song was 5/8 minutes long. For how much time did she sing in total? Write your answer in simplest form.
Answer:
5/2
Step-by-step explanation:
Tammy has 4 songs
For each of the songs, the time spent is 5/8 minutes
Therefore the total time spent ca be calculated as follows
= 4 × 5/8
= 20/8
= 5/2
Hence the total time spent is 5/2
Answer: 2.5
Step-by-step explanation: 4* 5/8 = 20/8 20/8= 2 4/8 2 4/8 = 2 1/2
2 1/2= 2.5
Solve for C.
Thank you to whoever answers!!!!!!!!!!!!!!!!!!!
Answer:
c=7
Step-by-step explanation:
How to solve your problem
8=−3+29
8=−3c+298=-3c+298=−3c+29
Solve
1
Subtract
29
292929
from both sides of the equation
8=−3+29
8=−3c+298=-3c+298=−3c+29
8−29=−3+29−29
8−29=−3c+29−298{\color{#c92786}{-29}}=-3c+29{\color{#c92786}{-29}}8−29=−3c+29−29
2
Simplify
3
Divide both sides of the equation by the same term
4
Simplify
Solution
=7
Hope this helps!
Have a great day!
-Lea
What are the integer solutions to the inequality below? 2 x < 3 x + 2 ≤ x + 6
Answer:
-2 < x ≤ 2
Step-by-step explanation:
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent A C is 12, opposite B C is 5.
Find tan A.
Answer:
sine A = four-fifths
Step-by-step explanation:
You have a rectangle triangle ABC with hypotenuse AB 35, side CB 28 and side CA 21. The angle C is 90°.
tanA =5\12
As
tanA = opposite\adjacent
= BC\AC
= 5\12
What is trigonometry?
Trigonometry is a branch of maths that studies relations between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into a collection of triangles.
Learn more about trigonometry here
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solve for x
2 3/4 x = 11 11/12
Answer:
If your question mean : 2×3/4×X = 11×11/12 then ans is (121/18) I.e. 6.722
Step-by-step explanation:
1) multiply all the numerator part
2) Cross multiply and solve for X.
If a line AB is translated in a plane to form A'B', what is true about AB and A'B'?
AA' = BB'
A'A' = B'B'
AA = BB
AB = BB
Answer:
ab=bb
Step-by-step explanation:
which is greater ? | -5| or 4
Answer:
4
Step-by-step explanation:
Answer:
|-5|
Step-by-step explanation:
|-5| = 5
5 > 4
|-5| > 4
What does x equal to?
Answer:
x = 25°
Step-by-step explanation:
the angle adjacent to the 130 angle is 50 degrees
x = 180-(105+50)
x = 180-155
x = 25
i forgot how to do this plz help
Answer:
C. 48°
Step-by-step explanation: