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Semenov [28]
2 years ago
9

Jordan is making a scale model of the Hanging Gardens of Babylon, one of the seven wonders of the ancient world. The actual gard

ens were said to be 24.4 meters tall. Jordan uses a scale of 1 cm = 0.5 m.
To the nearest tenth of a centimeter, what should be the height of Jordan’s model?
A. 12.2 cm
B. 24.4 cm
C. 48.8 cm
D. 122.0 cm
Mathematics
1 answer:
Sliva [168]2 years ago
8 0

Jordan's scale model would let him have a proportional measurement of the actual drawing

The height of Jordan's model is 48.8 cm

<h3>How to determine height of Jordan's model?</h3>

The scale ratio is represented as:

Ratio = Model : Actual

So, we have:

1 cm : 0.5 m = Model : 24.4 m

Express as fractions

1 cm / 0.5 m = Model / 24.4 m

Multiply both sides by 24.4 m

Model = 24.4 m * 1 cm / 0.5 m

Evaluate the product

Model = 48.8 cm

Hence, the height of Jordan's model is 48.8 cm

Read more about scale models at:

brainly.com/question/19434385

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X^2 + 32x + 256 = 1<br>please show steps​
Elena L [17]

\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}

<h2>Explanation:</h2>

In this case, we have the following equation:

x^2+32x+256=1

But we can write this equation as:

x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0

So this final result is a quadratic equation written in Standard Form (ax^2+bx+c=0). We need to find the solutions to this equations, so let's use quadratic formula:

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}

<h2>Learn more:</h2>

Quadratic Equations: brainly.com/question/10278062

#LearnWithBrainly

3 0
3 years ago
How do I simplify this? With steps please :)
Zigmanuir [339]

Answer:

{ \tt{ =  \frac{ {p}^{2} + 8p + 16 }{ {p}^{2} - 16 } }} \\  \\  = { \tt{  \frac{ {(x + 4)}^{2} }{(x - 4)(x + 4)}  }} \\  \\  = { \tt{ \frac{(x + 4)}{(x - 4)} }}

3 0
3 years ago
Is -6/11 a irrational number?
Harlamova29_29 [7]

Answer:

No

Step-by-step explanation:

One way to tell if a number is rational is if it can be written as a fraction. Anything that can be written as a fraction of two integers is rational.

-6/11 is a fraction with integer numerators and denominators.

Therefore it is rational.

4 0
3 years ago
Help with math alg 2
Luda [366]
Im so sorry i have no idea and i dont want to you to ge the question wrong because of me im sorry
7 0
4 years ago
How many feet? Thank you for your time.
kramer

Answer:

1 3/8 Feet

Step-by-step explanation:

Take 2 1/2 and subtract 1 1/8 which gives u 1 3/8

if u don't understand fractions u can always turn ur fractions into decimals that's what I did :)

6 0
3 years ago
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