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Gala2k [10]
3 years ago
15

A shipping carton for a rolled-up poster has the shape of a triangular prism. Each end of the carton is a triangle with a base 6

inches long and a height of 5 inches. The length of the carton is 32 inches.
If you answer we can chat ( : and I'll thank you in a big way!
Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0
I am guessing you are wanting to find the volume.


Volume= area of cross-section × length


The area of the cross-section is the triangle is 15 cm². 15 cm² × 32cm is 480cm³. Therefore the answer is 480cm³


If you are finding the surface area, the two triangles add up to 30cm. Then each rectangle is 160cm. There are 3 rectangles and 160x3= 480. 480+30= 510cm.


The surface area is 510cm and the volume is 480cm³.
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denis23 [38]

Answer:

sdf

Step-by-step explanation:

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5 0
3 years ago
Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, negative 10, point 2, negative 7,
Sonja [21]

Answer:

a_1=-10

d=3

Step-by-step explanation:

we know that                              

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference (d)

In this problem we have the ordered pairs

(1,-10),(2,-7),(3,-4),(4,-1),(5,2),(6,5)                      

Let                                          

a_1=-10\\a_2=-7\\a_3=-4\\a_4=-1\\a_5=2\\a_6=5

Find the difference between one term and the next

a_2-a_1=-7-(-10)=3              

a_3-a_2=-4-(-7)=3                  

a_4-a_3=-1-(-4)=3                        

a_5-a_4=2-(-1)=3                              

a_6-a_5=5-2=3                                                        

The difference between one term and the next is a constant        

This constant is the common difference                  

so                                                                                                                                  

The sequence graphed is an Arithmetic Sequence                    

therefore                                                                                    

The first term is a_1=-10                                    

The common difference is equal to d=3          

4 0
3 years ago
A.Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theorem.
Inga [223]

a.

<K = <M = 50 ...Opposite angels are congruent

<K + <L  = 180...Consecutive angles are supplementary

 50 + <L  = 180 so <L = 180 - 50 = 130

<L = <N = 130...Opposite angels are congruent

50 + <N  = 180 so <N = 180 - 50 = 130

b.

MN = LK = 7...Opposite sides are congruent

KN = LM = 10...Opposite sides are congruent

4 0
3 years ago
License plates are made using 2 letters followed by 3 digits. how many plates can be made ifrepetition of letters and digits is
Mademuasel [1]
26×26×10×10×10= 676 000
6 0
3 years ago
Find the true balance:
lapo4ka [179]

Answer:

D. $455.80

Step-by-step explanation:

True Balance = Bank Statement - Outstanding Checks

= $592.53 - ($49.80 + $86.93)

= $455.80

5 0
3 years ago
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