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3 years ago

the aquarium is a rectangular prism with dimensions 30in by 20in by 16 in. estimate the maximum volume of water it can hold

Mathematics

1 answer:

saw5 [17]3 years ago

6 0

Answer:

9600 sq in

Step-by-step explanation:

30 x 20 x 16 = 9600

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5. Find the quotient: 0.382 +0.2. A 0.0764 C 1.91 B 0.764 D 0.191

ankoles [38]

Answer:

The expression is not correctly given. However If you want the quotient of 0.2 divided by 0.382. This would be the correct answer

$C. \: 1.91$

Hope thai helps!

please like if I'd does help! (:

3 0

2 years ago

alisha [4.7K]

Answer:

$d=3\sqrt{2}\ units$

Step-by-step explanation:

The complete question is

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{9-5}{7-3}$

$m=\frac{4}{4}=1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\point\ (3,5)$

substitute

$y-5=(1)(x-3)$

isolate the variable y

$y=x-3+5$

$y=x+2$ -----> equation A

step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

$y-10=-(x-2)$

isolate the variable y

$y=-x+2+10$

$y=-x+12$ ----> equation B

step 3

Find the intersection point equation A and equation B

$y=x+2$ -----> equation A

$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

6 0

3 years ago

Rewrite the slope intercept equation of the line y = 2x + 5 in standard form. A) 2x - y = -5 B) 2x + y = 5 C) -2x - y = -5 D) 2x

goldenfox [79]

Answer:

(A) $2x-y=-5$

Step-by-step explanation:

Slope intercept form of equation of line is $y = mx+c \ where\ m\ is \ slope$

The standard form of equation is $Ax + By + C = 0$

Now let $m=\frac{A}{B}$ $therefore, m =\frac{2}{1}\ which\ gives\ A = 2and\ B = 1$

substituting the value of A and B in slope intercept form,

$y = \frac{A}{B} x+5\\\y = \frac{2}{1} x+ 5\\By\ simplifying,\\1y = 2x + 5\\on\ rearranging\ the\ above\ equation \\2x-y=-5\\which\ gives\ a\ standard\ form\ of\ equation\ Ax +By +C= 0\ where\ A= 2,\ B= (-1)\ and\ C = 5$

3 0

3 years ago

The algebra mat below models the equation x+3=5

Akimi4 [234]

X + 3= 5

The answer to this equation is simply 2

to do this:

subtract 3 from both sides of the equation.

3 cancels out, and you are left with this

x=2

so, the answer is x=2

or 2

Hope this helped!

7 0

3 years ago

Simplify 26/5(5/13b+10/26) .

Bond [772]

The answer is 2b+2 hope this will help

8 0

3 years ago