Put these in size order 52,25,5,22,2,50

Convert 359in^2 to square feet. round to 1 decimal place.

klemol [59]

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

<h3>How to apply dimensional analysis in unit conversion</h3>

In this question we need to convert a magnitude in a given unit to an <em>equivalent</em> magnitude with another unit. According to dimensional analysis, <em>unit</em> conversions are represented by the following expression:

y = A · x (1)

Where:

x - Original magnitude, in square inches.
y - Resulting magnitude, in square feet.
A - Conversion factor, in square feet per square inch.

Dimensionally speaking, area is equal to the product of length and length:

[Area] = [Length] × [Length]

And a feet is equivalent to 12 inches. Now we proceed to convert the magnitude to square feet:

x = 359 in² × (1 ft/12 in) × (1 ft/12 in)

x = 359 in² × (1 ft²/144 in²)

x = 2.5 ft²

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

To learn more on unit conversions: brainly.com/question/11795061

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5 0

2 years ago

There are 3/4 as many boys as girls in a class of 5th graders if there are 35 students in the class how many are girls?

ziro4ka [17]

Writing an equation is the easiest way to figure this out.
b = boys, g = girlsb = 3/4g35 students = g + b35 = g + 3/4g35 = 7/4g35/7/4 = g20 girls35 - 20 = b or 3/4(35) = b15 boys

3 0

3 years ago

Solid A has a volume of

jonny [76]

Answer: 512 times

Step-by-step explanation:

$$$Volume of Solid $A=5632 \mathrm{~cm}^{3}$ \\Volume of Solid $B=11 \mathrm{~cm}^{3}$.\\Divide volume of Solid $A$ by volume of Solid $B$.\\Volume of Solid A\\Volume of Solid $B$\\$

$\frac{5632 \mathrm{~cm}^{3}}{11 \mathrm{~cm}^{3}}=512\\\\$$\text{Therefore, Solid $A$ is 512 times larger thm Solid B}$

7 0

3 years ago

Indicate the equation of the given line in standard form. Show all your work for full credit. the line containing the median of

alukav5142 [94]

Answer:

* The equation of the median of the trapezoid is 10x + 6y = 39

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line whose end points are (x1 , y1) , (x2 , y2) is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- The mid point of the line whose end point are (x1 , y1) , (x2 , y2) is

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

- The standard form of the linear equation is Ax + BC = C, where

A , B , C are integers and A , B ≠ 0

- The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

- It has two properties:

# It is parallel to both bases

# Its length equals half the sum of the base lengths

* Lets solve the problem

- The trapezoid has vertices R (-1 , 5) , S (! , 8) , T (7 , -2) , U (2 , 0)

- Lets find the slope of the 4 sides two find which of them are the

parallel bases and which of them are the non-parallel bases

# The side RS

∵ $m_{RS}=\frac{8-5}{1 - (-1)}=\frac{3}{2}$

# The side ST

∵ $m_{ST}=\frac{-2-8}{7-1}=\frac{-10}{6}=\frac{-5}{3}$

# The side TU

∵ $m_{TU}=\frac{0-(-2)}{2-7}=\frac{2}{-5}=\frac{-2}{5}$

# The side UR

∵ $m_{UR}=\frac{5-0}{-1-2}=\frac{5}{-3}=\frac{-5}{3}$

∵ The slope of ST = the slop UR

∴ ST// UR

∴ The parallel bases are ST and UR

∴ The nonparallel sides are RS and TU

- Lets find the midpoint of RS and TU to find the equation of the

median of the trapezoid

∵ The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

∵ The midpoint of RS = $(\frac{-1+1}{2},\frac{5+8}{2})=(0,\frac{13}{2})$

∵ The median is parallel to both bases

∴ The slope of the median equal the slopes of the parallel bases = -5/3

∵ The form of the equation of a line is y = mx + c

∴ The equation of the median is y = -5/3 x + c

- To find c substitute x , y in the equation by the coordinates of the

midpoint of RS

∵ The mid point of Rs is (0 , 13/2)

∴ 13/2 = -5/3 (0) + c

∴ 13/2 = c

∴ The equation of the median is y = -5/3 x + 13/2

- Multiply the two sides by 6 to cancel the denominator

∴ The equation of the median is 6y = -10x + 39

- Add 10x to both sides

∴ The equation of the median is 10x + 6y = 39

* The equation of the median of the trapezoid is 10x + 6y = 39

7 0

4 years ago

5 pounds of tomatoes cost $15.50. How much does one pound of tomatoes cost?

Tanzania [10]

Answer:

C 3.10

Step-by-step explanation:

15.50 divide by 5 is 3.10

Brainliest?

3 0

3 years ago

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