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
UkoKoshka [18]
3 years ago
15

Leon has a piece of cheese shaped like a triangular prism that he needs to wrap in plastic wrap.

Mathematics
2 answers:
IceJOKER [234]3 years ago
8 0
The answer is 96 inches squared

dsp733 years ago
4 0

Answer:

Option C. 96 in² is the answer.

Step-by-step explanation:

Leon has a piece of cheese, shaped like a triangular prism.

He needs a plastic wrap to cover this prism.

For this we have to calculate the minimum amount of plastic wrap he will require to cover.

Amount of plastic wrap required = Total surface area of the wrap = Surface area of the triangular cheese

Surface area of the wrap = Area of two side triangles + Area of the rectangular sides

= 2(\frac{1}{2})(Base)(Height) + 3(Length)(Width)

= (Base × Height) + 3(length)(Width)

= (3×4) + 3(7×4)

= 12 + (3×28)

= 12 + 84

= 96 in²

Option C. 96 in² is the correct option.

You might be interested in
(1 point) Consider the universal set U={1,2,3,4,5,6,7,8,9,10}, define the set A be the even numbers, the set B be the odd number
Sloan [31]

Answer:

a) AUC = {2,4,6,8,10}

b) BnC = {}

c) AnB = {}

d) B-C = B = {1,3,5,7,9}

Step-by-step explanation:

The set A is the even numbers, those that are divisible by two.

So A = {2,4,6,8,10}

B is the odd numbe.rs. An odd number is a number that is not divisible by two.

So B = {1,3,5,7,9}.

C = {4,5,6}, as the problem states

a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.

So AUC = {2,4,6,8,10}.

b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.

There are no elements that are in both B and C, so the intersection is an empty set

BnC = {}

c) Same explanation as b), there are no elements that are in both A and B, so another empty set.

AnB = {}

d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:

B-C = B = {1,3,5,7,9}

6 0
3 years ago
A square wall tile has an area of 58,000 square millimeters. Between which two measurements is the length of one side
scoray [572]

\bf \textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=side's\\ \qquad length\\[-0.5em] \hrulefill\\ A=58000 \end{cases}\implies 58000=s^2\implies \sqrt{58000}=s \\\\\\ 240.83\approx s~\hspace{9em} \boxed{240}\rule[0.35em]{10em}{0.25pt}240.83\rule[0.35em]{1.7em}{0.25pt}\boxed{241}

6 0
3 years ago
Fourteen percent of the town’s population is over the age of 65. If there are 320 residents over the age of 65, approximately wh
Klio2033 [76]

Answer:

2286

Step-by-step explanation:

320 \div 1\% = 2286

8 0
3 years ago
Melissa read 4 books each week for 4 weeks. Amanda read 5 books a week for 4 weeks. How many more did Amanda read? Choose the an
wariber [46]

Answer:

Amanda read 4 for than Melissa.

Step-by-step explanation:

Amanda read 20 and Melissa read 16. 20-16=4.

6 0
3 years ago
Use the distributive property to simplify the expressions. 1B. -3(9x-q) 2B. 2(12+5p) 3b. -7(-8y+7) 4b. 10(2+7c) 5b. -8(7+11k) 6b
Debora [2.8K]
1B: -3(9x-q)
       -27x + 3q


Step 1: Distribute the -3 to the 9x to get -27x.
Step 2: Distribute the -3 to the -q.


2B: 2(12+5p)
       24 + 10p

Step 1: Distribute the 2 to the 12 to get 24.
Step 2: Distribute the 2 to the 5p to get 10p.

3B: -7(-8y+7)
       56y - 49


Step 1: Distribute the -7 to the -8y to get 56y.
Step 2: Distribute the -7 to the 7 to get -49.

4B: 10(2+7c)
        20 + 70c


Step 1: Distribute the 10 to the 2 to get 20. 
Step 2: Distribute the 10 to the 7c to get 70c.

5B: -8(7+11k)
       -56 - 88k


Step 1: Distribute the -8 to the 7 to get -56.
Step 2: Distribute the -8 to the 11k to get -88k.

6B: -(3-7u)
       -1(3-7u)
       -3 + 7u


Step 1: Place a 1 after the negative symbol to symbolize -1.
Step 2: Distribute the -1 to the three to get -3.
Step 3: Distribute the -1 to the -7u to get 7u.


7B: -6(5p + s)
       -30p - 6s

Step 1: Distribute the -6 to the 5p to get -30p.
Step 2: Distribute the -6 to the s to get -6s.

:) :D




8 0
3 years ago
Other questions:
  • The product of the slopes of two non-vertical perpendicular lines is always -1. It is NOT possible for two perpendicular lines t
    15·2 answers
  • A store sells 5 models of cameras for $260,$120,$220,$300, and $120. If the sales tax rate is 2%, what are the mean, median, mod
    15·2 answers
  • in a class of 15 boys and 35 girls 40% of the students in the class take the bus to school how many students do not take the bus
    12·1 answer
  • The table shows the cost,c, of buying each number of boxes,b,of cookies. Write an equation that models this situation.
    9·2 answers
  • Can someone help? <br><br> ( I need it by 10/20)
    11·1 answer
  • Which equation could represent the relationship shown in the scatter plot?
    7·1 answer
  • Find the slope of the line that passes through (4,9) and (1, 16).
    13·2 answers
  • A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability that the card is a red card or a 6?
    14·1 answer
  • Given the arithmetic sequence shown below, write a recursive rule for the sequence. -4,4,12, 20,​
    5·1 answer
  • Write an equation in slope-intercept form of the line that passes through the given point and
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!