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
Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are . Question 2 x=
Answer:
Adjacent
x = 14
Step-by-step explanation:
Find the diagram attached
Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.
The sum of angle on a straight line is 180 degrees, hence;
5x + x+ 96 = 180
6x = 180 - 96
6x = 84
x = 84/6
x =14
The value of x s 14
plz help. need it done in 2 mins
I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.
Answer: 3/5 or 0.6
Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot. If you divide 3 by 5 you get 0.6.
what is the value of x
Step-by-step explanation:
2x = x + 11
x = 11
Aaron bought a stereo system for $55 and spends $8.45 on parts. He sells the system for
$60. What is his profit/loss?
Answer:
his loss is $3.45
Step-by-step explanation:
you just add then subtract
used to have a square garage with 296 ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answer:
230 ft
Step-by-step explanation:
I have to find the missing angles
Answer:
11 & 12 = 19⁰
13 = 71⁰
14, 15, 16 & 17 = 90⁰
18 & 20 = 78⁰
19 = 12⁰
Step-by-step explanation:
14,15,16 and 17 are formed from perpendicular lines. They are not counted as angles for the kite because, the are in the middle of the kite, not at the side...
You can easily find the angles using the triangle angles formula...to find 12,
180 - 90 - 71 = 19
To find 20 & 18, with the same method,
180 - 90 - 12 = 78
NEED HELP WITH THESE
f(x)=x^2-x+1
g(x) = 5 - 3x
Evaluate the following.
1) f(-1)
2)g( -8)
3)f( 1)
4) g(5)
5) f(3)
6) g(-3)
Step-by-step explanation:
1 .f(x)=[tex]x^{2}[/tex]-x+1
f(-1)= (-1)-(-1)+1
f(-1)= 1+1+1
= 3
3.f(x)=[tex]x^{2}[/tex]-x+1
f( 1)=(1)-1+1
f( 1)=1-1+1
=1
5. f(x)=[tex]x^{2}[/tex]-x+1
f(3)=[tex](3)^{2}[/tex]-3+1
= 9-3+1
=7
2. g(x) = 5 - 3x
g( -8)=5-3(-8)
g( -8)=5+24
=29
4.g(x) = 5 - 3x
g(5)=5-3(5)
g(5)=5-15
=-10
6.g(x) = 5 - 3x
g(-3)=5-3(-3)
g(-3)=5+9
=14
What is the length of the missing leg?45 and 36
Answer:
27
Step-by-step explanation:
If this is a right angle triangle, we will do this.
45^2 - 36^2 =
√729 = 27
Therefore, the missing leg = 27
Hope that helps!
HELP PLEASE, ITS URGENT
Answer:
1. 40% 2. 1/10
Step-by-step explanation:
1. 8/20 * 100
800/20=40
2. 1/(3+1+4+2)
1/10
What is the range of possible values for x?
Answer:
Choice A) 0 < x < 18
Step-by-step explanation:
10x = 6x + 20
subtract
4x = 20
solve for x
x = 5
if f (x) =5x^{2} what is 3 f (x) ?
Answer:
15x²
Step-by-step explanation:
Given
f(x) = 5x² , then
3f(x) = 3 × 5x² = 15x²
What is the measure of x and what is the reasoning you used
Answer:
x = 108 because of supplementary angles
Step-by-step explanation:
Solving for x:
Since x and 72 are supplemenatry angles, they'll equal to 180, so:
x + 72 = 180
x = 180 - 72
x = 108
William has a coin and a spinner, shown below. He can flip heads or tails on the coin and spin numbers 1 through 8 on the spinner. He flips the coin once and spins the spinner once. What is the probability that the coin will land on heads and the spinner will land on an odd number?
Answer:
1/4
Step-by-step explanation:
Coin sample Space = {H, T}
Spinner sample space = {1, 2, 3, 4, 5, 6, 7, 8}
Probability that coin lands on head :
P(H) = 1 /2
Probability that spinner lands on odd number :
Odd numbers = {1, 3, 5, 7} = 4
P(spinner lands on odd) = 4 / 8 = 1/2
Hence, probability that the coin will land on heads and the spinner will land on an odd number = (1 /2 * 1/2) = 1/4
ok now this hehehe, i just wanna see if im correct.
Answer:
x = 49.4°Steps:
given: m∠EFG = 90°
tan(x) = FG/EF
tan(x) = 10.5/9
tan(x) = 7/6
tan(x) = 1.166..
x = tan⁻¹(x)
x = tan⁻¹(1.166..)
x = 49.39.. ≈ 49.4°
Need ASAP! Will give brainliest!
Can I have some help with this math? Pls hurry, I will mark brainliest
Evaluate the expression 4² – 25−−√ .
Answer:
That would be Negative nine
The given expression is evaluated as -12.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 4²-25-√9
Now, 16-25-3
= 16-28
= -12
Therefore, the given expression is evaluated as -12.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
Evaluate the expression 4²-25-√9.
Please Answer! I will give brainiest. The Picture is down below :)
Thank You!
Answer:
there's no pic!..............
Plz need help i cant do it
Answer
adding 2
Step-by-step explanation:
Median is 8
I don't know if this is correct but I tried.
Find the product
Give your answer in simplest form.
3/5x12
Can some please help me on question 2 I am just confused.
Answer:
ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost
Step-by-step explanation:
25 ft 8 yd 11 in.
Which is greater?
Answer:
25 ft
Step-by-step explanation:
8 yd = 24 ft
11 in < 1 ft
8 yd < 25 ft
If y varies directly with x. and y=10 when x=5.6, find the value of y when
X=3
Answer: 5.3571
Step-by-step explanation:
The formula used to calculate direct proportion is: y = kx
We will find the constant of proportionality when y=10 and x=5.6. This will be:
y = kx
10 = 5.6k
k = 10/5.6
k = 1.7857143
The value of y when X=3 will be:
y = kx
y = 1.7857143 × 3
y = 5.3571
Gina is 16 years older than her nephew Paul. In 3 years, she will be 3 times older than Paul. How old are Gina and Paul currently?
9514 1404 393
Answer:
Paul: 5Gina: 21Step-by-step explanation:
In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.
Paul is 5 now, and Gina is 21.
Pls help ASAP I DONT have time
Answer:
B: y = 3x + 6
What is the slope and equation of a line parallel to the y-axis passing through point (-4,3)
Answer:
-4 is x and 3 is y
Step-by-step explanation:
Help! With this math problem
Answer:
Its C
Step-by-step explanation:
Simplify the expression below.
4x+ 3(2x−1) − 4x
Answer:
=6x−3
Step-by-step explanation:
Let's simplify step-by-step
4x+3(2x−1)−4x
Distribute:
=4x+(3)(2x)+(3)(−1)+−4x
=4x+6x+−3+−4x
Combine Like Terms:
=4x+6x+−3+−4x
=(4x+6x+−4x)+(−3)
=6x+−3
Answer:
6x - 3
Step-by-step explanation:
4x + 3(2x - 1) - 4x
Distribute, multiply every term inside the parenthesis by the term outside of it,
4x + (3)(2x) + (3)(-1) - 4x
Simplify,
4x + 6x - 3 - 4x
Simplify further, combine like terms,
6x - 3
I need help pls:(((((((((((((((((
Answer:
108
Step-by-step explanation:
We first must find the total per year of every family.
Remember... there are 12 months in a year
Wilson: 18 × 12 = 216
Kumar: 16 × 12 = 192
Lopez: 27 × 12 = 324
Anders: 14 × 12 = 168
Johnson: 15 × 12 = 180
The Lopez family borrows the most. (324 books)
The Wilson family borrows the second most. (216 books)
324 - 216 = 108
Margaret owns (5/6) of a section of land. She planted corn on (1/4) of her land. What fraction of the entire section is planted with Margaret’s corn?
Answer:
3/5
Step-by-step explanation:
subtract the fractions then turn the decimal into a fraction.
