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3 years ago

Calculate the total surface area of the rectangular prism

Mathematics

2 answers:

jeka57 [31]3 years ago

5 0

Answer:

170.3cm^2

Step-by-step explanation:

The total surface area is the sum of surfaces of all sides.

We have 2 sides of 7.9cmx4.5cm, 2 sides of 7.9cmx4cm, and 2 sides of 4.5cm*4cm.

7.9cm*4.5cm = 35.55cm^2

7.9cm*4cm = 31.6cm^2

4.5cm*4cm = 18cm^2

2 * (35.55cm^2 + 31.6cm^2 + 18cm^2) = 2 * 85.15cm^2 = 170.3cm^2

sweet [91]3 years ago

4 0

Answer: C. 170.3 cm squared

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3 years ago

william earns$13 an hour working.last week he worked h hours and three times as many hours. write an expression for the amount o

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3 years ago

The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

vovikov84 [41]

Answer:

The first term is:

$a_1=-61$

Step-by-step explanation:

The arithmetic sequence is defined by

$a_n=a_1+\left(n-1\right)d$

where

$a_1$ is the first term

$d$ is the common difference

the 17th term of an arithmetic sequence is 51.

i.e. $a_{17}=51$

$a_n=a_1+\left(n-1\right)d$

$a_{17}=a_1+\left(17-1\right)d$

$51=a_1+\left(17-1\right)7$ ∵ $n = 17$ , $a_{17}=51$ , $d=7$

$a_1+112=51$ ∵ $\left(17-1\right)\cdot \:\:7=112$

$a_1=-61$

Therefore, the first term is:

$a_1=-61$

8 0

3 years ago

Drag and drop each number to its correct position on the number line.

Stels [109]

Answer:

-⅜ is between -1 and 0

⅞ is between 0 and 1

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2½ is between 2 and 3 ( in the mid )

4 0

3 years ago

The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its d

Vlad1618 [11]

Hey there! I'm happy to help!

Let's call the length and width L and W respectively.

L=2W+8

2W+2L=124

We plug our value of L into the second equation and solve for W.

2W+2(2W+8)=124

We undo the parentheses with the distributive property.

2W+4W+16=124

Combine like terms.

6W+16=124

Subtract 16 from both sides.

6W=108

Divide both sides by 6.

W=18

We plug this W value into the first equation to solve for L.

L=2(18)+8

L=36+8

L=44

So, the length is 44 feet and the width is 18 feet.

Have a wonderful day! :D

8 0

3 years ago