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Margarita [4]
3 years ago
8

Eram Figure A4

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

18 ft³

Step-by-step explanation:

Consider the given figure showing the steps to consists of 3 rectangle prism or cuboid.

The cubic feet of concrete necessary = sum of the volume of the 3 cuboid/rectangular prism

Volume = l*w*h

Dimension of each cuboid:

Note that 1 ft = 12 inches

First cuboid:

Length (l) = 48 in = 48/12 = 4 ft

Width (w) = 36 in = 36/12 = 3 ft

Height (h) = 9 in = 9/12 = 0.75 ft

Volume = 4*3*0.75 = 9 ft³

Second cuboid:

Length (l) = 48 in = 48/12 = 4 ft

Width (w) = 24 in = 24/12 = 2 ft

Height (h) = 9 in = 9/12 = 0.75 ft

Volume = 4*2*0.75 = 6 ft³

Third cuboid:

Length (l) = 48 in = 48/12 = 4 ft

Width (w) = 12 in = 12/12 = 1 ft

Height (h) = 9 in = 9/12 = 0.75 ft

Volume = 4*1*0.75 = 3 ft³

Cubic feet of concrete necessary for the steps = 9 + 6 + 3 = 18 ft³

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3 years ago
What is the difference of 8 times a number r and 12?
lapo4ka [179]

Answer:

The difference of 8 times a number r and 12 is solved for a number r and is given by r=\frac{3}{2}

Step-by-step explanation:

Given problem is the difference of 8 times a number r and 12

It can be written as

(8\times r)-12

To simplify the above expression :

8r-12

8r-12=0

8r-12+12=0+12 ( using addition property of equality )

8r=12

8r(\frac{1}{8})=12(\frac{1}{8}) (using division property of equality )

r=\frac{3}{2}

Therefore r=\frac{3}{2}

Therefore the difference of 8 times a number r and 12 is solved for a number r and is given by r=\frac{3}{2}

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3 years ago
Can someone help me with this
mash [69]

The center of the circle is (h,k) = (-2,-3)

The radius of the circle is r = 2

The standard form of equation of the circle is

{(x + 2)}^{2}  +  {(y + 3)}^{2}  = 4

<h3>How to find the center, radius and standrad form of the circle?</h3>

The general form of equation of the circle is

{(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}

Here, (h,k) means centre of the circle.

r means radius of the circle.

given that coordinate points of centre of circle is (-2,-3).

Hence the (h,k) = (-2,-3)

<h3>How to find the radius of the circle?</h3>

Now to find the radius of the circle

The distance from a circle's centre to its circumference is its radius.

The distance from a circle's centre (-2,-3) to its circumference (0,-3) is its radius.

using the formula, distance between the two points to obtain radius.

d =  \sqrt{(x1 - x2) {}^{2}  +  {(y1 - y2)}^{2} }  \\ r =  \sqrt{ {( - 2 - 0)}^{2} +  {( - 3 - ( - 3))}^{2}  }  \\ r =  \sqrt{ {( - 2)}^{2} +  {( - 3 + 3)}^{2}  }  \\ r =  \sqrt{ {4}^{2} + 0 }  \\ r =  \sqrt{4}  \\ r = 2

<h3>How to find the standard form of equation of the circle?</h3>

(h,k) = (-2,-3)

r = 2

subtitue the (h,k) and r values to get the standard form of equation of the circle.

(x - h) {}^{2}  +  {(y - k)}^{2}  =  {r}^{2}

{(x - ( - 2))}^{2}  +  {(y - ( - 3))}^{2} =  {r}^{2}

{(x + 2)}^{2}  +  {(y + 3)}^{2}  = 4

Learn more about circle, refer:

brainly.com/question/24810873

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1 year ago
100 points!!! Please full out all of these ASAP!!! Please show work!!!
Alex

Answer:

look below

Step-by-step explanation:

y = 2 (x + 3)^2 - 2

Geometric figure:  parabola

Alternate forms:

y = 2 (x + 2) (x + 4)

y = 2 (x^2 + 6 x + 8)

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Expanded form:

y = 2 x^2 + 12 x + 16

Roots:

x = -4

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<u>Properties as a real function: </u>

Domain - R (all real numbers)

Range - {y element R : y>=-2}

Partial derivatives:

d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)

d/dy(2 (x + 3)^2 - 2) = 0

Implicit derivatives:

(dx(y))/(dy) = 1/(12 + 4 x)

(dy(x))/(dx) = 4 (3 + x)

Global minimum:

min{2 (x + 3)^2 - 2} = -2 at x = -3

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Mr. Hartman purchased 2-pounds of beef that cost
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Step-by-step explanation:

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