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2 years ago

What is the volume of a rectangular prism length 12ft height 14ft width 17ft

1 answer:

6 0

Answer: <span>2,856 ft³ .</span>
_____________________
Volume of a rectangle prism = BASE AREA * height ;

The "base area" is the area of the rectangle:

(Area = length width; or, "L * w").
_______________________________________________
So, volume of a rectangular prism = L * w * h ; h = height ;
_________________________________________
V = L * w * h = 12 ft * 17 ft. * 14 ft = 2,856 ft³
_____________________________________________

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A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.

f) $f(t)=16.2−0.062t =12$

$0.062t = 16.2-12 = 4.2$

$t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7$ years to 1 decimal place.

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2 years ago

Point J is on line segment IK. Given JK = 2x – 1, IK = 3x + 2,

Serhud [2]

Answer:

JK=7

Step-by-step explanation:

From the line segment, since J is on it ,it means the line segment is

represented as I J K

from this illustration, we can say that the longest part of the line segment is from I to K

this means that, IJ +JK =IK

making JK the subject,

JK= IK - IJ

but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5

substituting them in the expression,

2x-1 =3x+2 -(3x-5)

solving for x

2x-1 =3x+2-3x+5

2x-1 =0+7

2x-1 =7

2x=1+7

2x=8

dividing through by 2

2x/2 =8/2

x=4

but the question says we should find the numerical value for JK

but from the line segment,

JK=2x-1

but now we know the value of x to be 2

so substituting it in the formula

JK= 2(4)-1

JK=8-1

JK=7

therefore, the numerical value for JK is 7

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2 years ago

Colin invests £4000 into his bank account. He receives 5% per year simple interest. How much will Colin have after 3 years? Give

MakcuM [25]

Answer:

2750

Step-by-step explanation:

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2 years ago

by selling a cell phone for 2400rs a shopkeeper makes a profit of 25% what would be his profit percentage if it was 2040rs

xxMikexx [17]

Answer:

6.25%

Step-by-step explanation:

We first begin by solving for the original price of the cell phone.

if 2400 = 125%

x = 100%

By cross multplying, we get

125x = 2400 * 100

x = 240000/125

x = 1920rs

To find the profit percentage on the new sale price, we repeat another set of equations

100% = 1920

x = 2040

1920x = 2040 * 100

x = 204000/1920

x = 106.25%

His new profit percentage is 6.25%

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2 years ago

Weather reporter reads 0.103 for amount of snowfall. How would he say this?

Romashka [77]

The weather reporter would pronounce 0.103 as 103 thousandths.

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2 years ago