Volumeprism=volumecube times number of cubes
vprism/vcube=number of cubes

vprism=12*5*4.25=255
vcube=side^3=(1/4)^3=1/64

vprism/vcube=255/(1/64)=255*64=16320 cubes

4 0

3 years ago

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A city planner makes a scale drawing of a proposed playground. The length of the actual playground is 78 feet, and the width is

Allushta [10]

Answer:

B) 6.5 inches by 3.5 inches

Step-by-step explanation:

Multiplying the actual dimensions by the scale gives the scale dimensions:

(0.5 in)/(6 ft) × {78 ft, 42 ft}

= {39/6 in, 21/6 in}

= {6.5 in, 3.5 in}

The size on the scale drawing is 6.5 inches by 3.5 inches.

5 0

3 years ago

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(x+16)²=12 plz help me and show work

Readme [11.4K]

Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

Then, use the quadratic formula to find the solutions. The quadratic formula looks like $\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}$ .

For this problem, the quadratic variables are as follows:

$a=1$

$b=32$

$c=244$

The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .

6 0

2 years ago

Help. It’s due today plz I’m begging u :/ click the picture to make up bigger

Pani-rosa [81]

Answer:

im pretty sure B 7.5 units

Step-by-step explanation:

6 0

3 years ago