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2 years ago

Please help!!!!!! (fill the blank)

Mathematics

2 answers:

Lady_Fox [76]2 years ago

6 0

Answer:

Volume fish foodcube = 0.015625 ft^3

Volume Shipping box= 42.1875 ft^3

Step-by-step explanation:

Volume Fish food cube: 1/4 × 1/4 × 1/4 = 0.015625

Volume Shipping Box: 15/4 × 15/4 × 12/4 = 42.1875

Can you put be Brainliest please if it helps

vovikov84 [41]2 years ago

5 0

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2 years ago

Please help!!!<br> I need help finding the answer.

iogann1982 [59]

Answer:

2nd option

Step-by-step explanation:

The shaded area = outside area - inner area

= x² - (x - 6)² ← expand using FOIL

= x² - (x² - 12x + 36) ← distribute parenthesis by - 1

= x² - x² + 12x - 36 ← collect like terms

= 12x - 36

6 0

3 years ago

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

2 years ago