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Romashka-Z-Leto [24]
3 years ago
12

a rectangular prism has a length of 4 feet, a width of 1 yard, and a height of 3 inches. what is the total surface area of the p

rism to the nearest tenth of a square foot?
Mathematics
1 answer:
galina1969 [7]3 years ago
3 0
[(4x3)x2]+[(1x3)x2]+[(1x4)x2]=38
38.0 square feet
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What types of numbers are undefined when they are under a radical sign? If you were dealing with the number √-1, would it be def
sveta [45]
1) the types of number are the negative integers (e.g √-1 √-3 <span>√-5 are not defined)
2) the answer is No, proof:  2x</span>√-1 is not defined because <span>√-1 doesn't exist
3) the answer is No, proof:  </span>√-1 - 3 is not defined because √-1 doesn't exist
4) the answer is Yes, proof: (√-1 )²=  -1 this is a real number
5) the answer is No, proof:  (√-1 )^3=  (√-1 )²(√-1 )= - 1(√-1 ), and - 1(√-1 ) is not defined because √-1 doesn't exist
6) the result would be defined with the following cases:
    √-1+n,  n>1
     √-1xn,  n<0
     √-1/n,   n<0
7) the result would not be defined with the following cases:
   √-1+n,  n<0
     √-1xn,  n>0
     √-1/n,   n>0
 8) to square <span>3 + √-1, I use the method of complex number
  i²= -1, it implies i= </span>√-1
  so 3+√-1=3+i,  and then (3+√-1)²=(3+i)²= 9 -1+6i= 8-i= 8-√-1
 9) it is used for finding complex roots of a number
3 0
3 years ago
How fast does a driven gear turn if it has 25 teeth (t) and is driven by a10-tooth driver gear (T) at 250 RPM?
vazorg [7]

Given:

The number of teeth = t = 25

The gear is driven by a 10-tooth driver gear (T) at 250 RPM

Let the speed = s

So, using the ratio and proportion

\frac{25}{s}=\frac{10}{250}

Solve for s:

\begin{gathered} 10s=25\cdot250 \\  \\ s=\frac{25\cdot250}{10}=25\cdot25=625 \end{gathered}

So, the fear will be driven by 625 RP

3 0
1 year ago
Since spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and comput
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Answer:

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Step-by-step explanation:

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7 0
1 year ago
Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).
arsen [322]

Answer:

y=-2x+2

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope</u>

m=\frac{y_2-y_1}{x_2-x_1} where the two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (-1, 4) and (0, 2)

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Therefore, the slope of the line is -2. Plug this into y=mx+b:

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<u>2) Determine the y-intercept</u>

y=-2x+b

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

y=-2x+2

I hope this helps!

6 0
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You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gal per mile. Which equation best represents this informat
Digiron [165]
Option B is the correct answer because you start with 15 gallons (y-intercept), and the car consumes or decreases at 0.03 gal/per mile (your slope or m).
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3 years ago
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