1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mel-nik [20]
3 years ago
10

Help needed please and thank you!

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0
To solve this problem, we use the formula given, which states that SA=6s^2, where SA is the surface area and s is the edge length of the cube.

We were given that the edge length of the cube is 3 1/2 feet, and that we are trying to find the surface area of the cube, so let’s plug these values into our formula.

SA=6(3 1/2)^2
To make this easier to simplify, we are going to replace 3 1/2 with its equal improper fraction, 7/2.
SA=6(7/2)^2
Now, following the order of operations, we are going to simplify what is inside the parenthesis by squaring it.
SA=6(49/4)
Now, we are going to multiply our last two terms together, to get:
SA= 294/4
This number simplifies to 147/2 when we divide both the numerator and denominator by their greatest common factor of 2.
However, the problem asks for your answer as a mixed number in simplest form, which we get when we divide out this improper fraction.
Your final answer is 73 1/2 ft^2.

I hope this helps!
You might be interested in
8000 people attended a football
Lyrx [107]

Answer:

Step-by-step explanation:

Okay, so this is impossible to tell the amount of spaces, but let's say it was 4000 for VIP and 4000 for Popular Stands. Multiply $30 by 4000, and you get $120k Earnings. To check your answer, Divide 120,000 by 4000, and you get $30 for each stand.

Now, let's move on with the VIP stands. A VIP Stand costs $50, so 4,000 x $50 = $200k earnings. To check your answer, divide 200,000 by 4000, and you get $50 for each VIP Stand.

If you need to find each variant, go by 1k seat increments, i.e. 1000 and 7000, 2000 and 6000, etc.

Glad I could help!

-Vibilities

8 0
3 years ago
A 9 cm tall cone shaped paper cup can hold up to 58.9 cm cubed of water. What is the minimum amount of paper needed to make the
babymother [125]
Volume of a cone, V = πr^2h/3

r = Sqrt 3V/πh = Sqrt [(58.9*3)/(3.14*9)] = 2.5 cm, minimum

Surface area, A = πr [r+ Sqrt (h^2+r^2)] =  3.14*2.5*[2.5+ Sqrt (9^2+2.5^2)] = 92.95 cm^2

Therefore, minimum amount of paper required is 92.95 cm^2
4 0
3 years ago
Which equation represents the line that is perpendicular to and passes through (-40,20)?
emmasim [6.3K]

The equation of the perpendicular line to the given line is: y = -5/4x - 30.

<h3>What is the Equation of Perpendicular Lines?</h3>

The slope values of two perpendicular lines are negative reciprocal of each other.

Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.

Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.

Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:

20 = -5/4(-40) + b

20 = 50 + b

20 - 50 = b

b = -30

Substitute m = -5/4 and b = -30 into y = mx + b:

y = -5/4x - 30

The equation of the perpendicular line is: y = -5/4x - 30.

Learn more about about equation of perpendicular lines on:

brainly.com/question/7098341

#SPJ1

8 0
2 years ago
Make a conjecture about the next item in the sequence 1, -4, 9, -16
Snezhnost [94]
To get -4 from 1, we must either subtract 5 from 1 or mult. 1 by -4.  Unfortunately subtracting 5 from -4 does not result in 9, and mult -4 by -4 does not result in -16.  So neither "works"  in predicting the next term.

Can you think of any other experiments to do that would help you discover the pattern 1, -4, 9, -16?  


4 0
3 years ago
Read 2 more answers
What is the sine of π/2
Pachacha [2.7K]

Answer:

the sine is 1

5 0
3 years ago
Other questions:
  • Which of the following is ( are ) the solution(s)
    12·1 answer
  • The diagram represents a reduction of a triangle by using a scale factor of 0.8. A larger triangle has a base of 10 inches and h
    6·2 answers
  • Match each quadratic equation with its roots. Tiles a2-a+11+0
    13·1 answer
  • The gross income of David Vaughn is $785 per week. His deductions are $42.25, FICA tax; $90.33, income tax; 2% state tax; 1% cit
    14·1 answer
  • Question up there. ^<br> |<br>​
    12·1 answer
  • An animal shelter has two purebred Labradors among the 81 dogs available for adoption. It is also known that 7/9 of the
    15·1 answer
  • Pls answer this is a khan academy question
    10·1 answer
  • What is the solution to ? ​
    13·1 answer
  • Ramon walks at a constant rate of 6mi/hr. Write an equation using the variables m and h to represent how many miles he would wal
    12·1 answer
  • Math homework pls help!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!