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blsea [12.9K]
3 years ago
11

Carson packed his movies in a box that is in the shape of a rectangular prism. The height of the box is 17 inches. The length of

the box is 1.5 times the height. The volume of the box is 5,635.5 cubic inches. What is the width of the box?
Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

Width: <u>13</u> inches

Step-by-step explanation:

To find the width of prism you would have to divide the volume of the prism by the area of the cross section.

First calculate the area of the cross section of the prism:

17 × 25.5= 433.5

Then divide the cross section area by the volume:

5635.5 ÷ 433.5= 13  

The width is <u>13 inches</u>

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lubasha [3.4K]
The constant of proportionality in terms of the cost per text is the coefficient of t in the equation b=0.25t. Since the coefficient of t is 0.25, the constant of proportionality in terms of the cost per text is 0.25.
Proportionality constants are usually expressed as fractions, so lets convert 0.25 to a fraction. To do that we are going to add the denominator 1 to our decimal, and then we will multiply both numerator and denominator by ten for every number after the decimal point:
\frac{0.25}{1}
\frac{0.25}{1} . \frac{100}{100} = \frac{75}{100}
Finally, we can simplify our fraction:
\frac{25}{100} = \frac{1}{4}

We can conclude that the constant of proportionality in text of the cost per text is 1/4


6 0
4 years ago
Find the value of x in the following figure. Show equations and work that lead to your answer.
UkoKoshka [18]

Answer:

x=7

Step-by-step explanation:

We have been given all exterior angles of a quadrilateral which is a polynomial having 4 sides


We know that sum of all exterior angles of a regular polygon is always 360 degree.

So we can all given exterior angles and set it equal to 360


(12x+37)+(12x-2)+(46)+(20x-29)=360

12x+37+12x-2+46+20x-29=360

12x+12x+20x+37-2+46-29=360

44x+52=360

44x=360-52

44x=308

divide both sides by 44

x=7

<u>Hence final answer is x=7.</u>



4 0
3 years ago
explain step by step how to solve. please point out any similarities in the steps used for each question
Mamont248 [21]
#1
m∠A=180 - 115 - 24 = 41°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29


#2
m∠C=180 - 119 - 27 = 34°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16


#3
m∠C=180 - 57 - 37 = 86°

By the law of sines:

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1
6 0
4 years ago
Solve and show your work for each question. What is 0.(24) ̅ ̅ expressed as a fraction in simplest form? What is 0.24 ̅ expresse
Elden [556K]
The answer to this question is 24/99. 0.24 with 24 repeating in fractional form is 24/99. You put a 9 in the denominator for every repeating digit.
8 0
3 years ago
Please Help me with my Math question!
iris [78.8K]
C= 8x + 5y
y-number of child tikets
C-8x= 5y
(C-8x)/5 =y
First option from up to down
8 0
3 years ago
Read 2 more answers
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