Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in. what is the surface area of the box of chocolates?

Answers

Answer 1
Answer:

Answer:

A = 68.8 inches^(2)

Step-by-step explanation:

Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.

a = 2

b=3

c=4

To Find : what is the surface area of the box of chocolates?

Solution: The first thing we should know is the area of the triangular base.

 Triangular base area: 

A1 =√((s * (s-a) * (s-b) * (s-c)) )

 Where, s is the semi-meter of the triangle:

s =( (a + b + c) )/( 2)

 a, b, c: sides of the triangle.

 Substituting:

 s = (2 + 3 + 4) /2=4.5

A1 = √( (4.5 * (4.5-2) * (4.5-3) * (4.5-4)))

 A1 = 2.90

 Then, you must know the area of each rectangle associated with each side of the triangular base.

 Rectangle area 1: Ar1 = (a) * (l)

                              Ar1 = (2) * (7)

                              Ar1 = 14

 Rectangular area 2:   Ar2 = (b) * (l)

                                    Ar2 = (3) * (7)

                                    Ar2 = 21

 Rectangular area 3:   Ar3 = (a) * (l)

                                    Ar3 = (4) * (7)

                                    Ar3 = 28

 Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1

                                             A = (14) + (21) + (28) + 2 * (2.90)

                                           A = 68.8 inches^(2)

 Hence the surface area of the box of chocolates is 

A = 68.8 inches^(2)


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Telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $120 for 100 megabytes of data and $95 for 50 megabytes of data. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph?Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50
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Answers

Answer:

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Total of megabytes of date used = x

Total monthly charges = y

x₁ = 50 Megabytes, x₂ = 100 Megabytes

y₁ = US$ 95, y₂ = US$ 120

2. Let's find out the best description of the steps to draw the graph and the slope.

Slope = (y₂ - y₁)/ (x ₂- x₁)

Slope = 120 - 95/ 100 - 50

Slope = 25/50 = 1/2 = 0.50

Remember that the coordinates of the points in the line are written this way:

(x, y) ⇒ (Total of megabytes of date used, Total monthly charges)

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Answer:

a

Step-by-step explanation:

100% on test

What whole number is equivalent to 16/1 ?

Answers

i think it is equivalent to 16
hope that helps! :)

16, because if you think about it it's just 16 divided by 1 so it's 16!

Draw a 3 by 7 square. Find its area , show your reasoning

Answers

Well, it wouldn'r be a square, but a rectangle.
3*7=21
The area of the rectangle is 21u²

The 70th term of an arithmatic sequence is 121.5 the common difference is 1.5. Find a12. (write a rule to find a12)WILL GIVE BRAINLIEST ​

Answers

Answer:

12th term = 34.5

Step-by-step explanation:

l = a + (n-1)*d

d = 1.5

70th term = 121.5

a + 69 * 1.5 = 121.5

   a + 103.5  = 121.5

                 a = 121.5 - 103.5

                 a = 18

12 th term = 18 + 11 * 1.5 = 18 + 16.5 = 34.5

Answer:

a_(12) = 34.5

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a_(70) = 121.5, then

a₁ + (69 × 1.5) = 121.5

a₁ + 103.5 = 121.5 ( subtract 103.5 from both sides )

a₁ = 18

Hence

a_(12) = 18 + (11 × 1.5) = 18 + 16.5 = 34.5

Sam receives 4 dollars more than Nathan for allowance. Nathan receives 8 dollars less than Hector. If Sam receives 15 dollars for allowance, how much does Hector receive?

Answers

S = N + 4
N = H - 8
S = 15

S = N + 4

Plug in 15 for 'S':

15 = N + 4

11 = N

N = H - 8

11 = H - 8

Add 8 to both sides:

19 = H

So Hector receives $19 for allowance.
\text{Sam}=\text{Nathan+4}\n\text{Nathan}=\text{Hector}-8\n\text{Sam}=15\n\n15=\text{Nathan+4}\n\text{Nathan}=11\n\n11=\text{Hector}-8\n\text{Hector}=19

Charlle's monthly gross pay Is $1,550. Two deductions of $208 and $372.30 are applied to his paycheck. What isCharlle's monthly net pay?​

Answers

Answer:

$969.70

Step-by-step explanation:

The deductions add up to $580.30. So deduct $580.30 from $1,550, which equals 969.70