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Elenna [48]
3 years ago
9

the Georgia aquarium in Atlanta is about 2.63*10^3 inches long, 1.26*10^2 inches wide, and 3*10^1 inches deep at it's largest po

int. Find it's approximate volume.​
Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

Answer:

9.9414*10^{6}\ cubic\ inches\\

Step-by-step explanation:

Hello, I can help you with this ,

assuming the aquarium has a normal shape

The volume can be calculated with:

Volume= length*width*depth

Step one

according to the information in the question

length\ =2.63*10^{3}\ inches \\width\ =1.26*10^{2}\ inches \\depth\ =3*10^{1}\ inches\\

put the values into the equation

Volumen=2.63*10^{3}\ inches *1.26*10^{2}\ inches *3*10^{1}\ inches

combine similar terms

Volumen=2.63*10^{3}\ inches *1.26*10^{2}\ inches *3*10^{1}\ inches\\Volume=(2.63*1.26*3)(10^{3}*10^{2}*10^{1})(inches *inches *inches )\\Volume=(9.9414)(10^{3+2+1})in^{3} \\Volume=(9.9414)(10^{6})in^{3}

Have a good day.

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Solve for y 16y^2-25=0
Pepsi [2]

Answer:

\large\boxed{x=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

Step-by-step explanation:

16y^2-25=0\\\\METHOD\ 1:\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\16=4^2\ \text{and}\ 25=5^2\ \text{therefore we have}\\\\4^2y^2-5^2=0\\\\(4y)^2-5^2=0\\\\(4y-5)(4y+5)+0\iff4y-5=0\ \vee\ 4y+5=0\\\\4y-5=0\qquad\text{add 5 to both sides}\\4y=5\qquad\text{divide both sides by 4}\\\boxed{y=\dfrac{5}{4}}\\\\4y+5=0\qquad\text{subtract 5 from both sides}\\4y=-5\qquad\text{divide both sides by 4}\\\boxed{x=-\dfrac{5}{4}}

METHOD\ 2:\\\\16y^2-25=0\qquad\text{add 25 to both sides}\\\\16y^2=25\qquad\text{divide both sides by 16}\\\\y^2=\dfrac{25}{16}\to y=\pm\sqrt{\dfrac{25}{26}}\\\\y=-\dfrac{\sqrt{25}}{\sqrt{16}}\ \vee\ x=\dfrac{\sqrt{25}}{\sqrt{16}}\\\\\boxed{y=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

7 0
3 years ago
Read 2 more answers
I really need help with this please helpp!!!
jolli1 [7]
What do you need help in??
6 0
3 years ago
Who made an error? <br> The correct scale factor= ?
Ostrovityanka [42]

Answer:

reggie made an error

the correct scale factor is 2/3

Step-by-step explanation:

we want to get from A to A', B to B', and ultimately C to C'

to get there, we must multiply each value in each point by the scale factor.

let's start out with reggie's scale factor. he multiplies each value in C by 3/2 to get to C'. we can try this out with one point, e.g. A

for A: 3/2 * (-12, -6) = (-18, -9). this is not A' = (-8, -4)! thus, 3/2 cannot be the scale factor

now, onto hillary's scale factor of 2/3

for A: 2/3 * (-12, -6) = (-8, -4). this is A'! thus, hillary is correct and reggie made an error

the correct scale factor is thus hillary's: 2/3

4 0
2 years ago
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