Answer:
The diameter of the model is 14.4 inches.
Step-by-step explanation:
The Diameter of the moon = 2,160 miles
The scale on the model represents 1 in = 150 miles
Let the model represents k inches in 2,160 miles.
So, by the Ratio of Proportionality:

⇒
or, k = 14.4 inches
⇒On the scale 2160 miles is represented as 14.4 inches
Hence the diameter of the model is 14.4 inches.
Answer:
angle plm+angle lpm+angle pml=180°[by angle sum property]
21°+angle lpm+38°=180°
59°+ lpm=180°
lpm=180°-59°
lpm=121°
lpm+npl=180°[by limear pair]
121°+npl=180°
npl=180°-121°
npl=59°
The number of bows that Penny makes per hour and the price the firm sells at shows that the value of the marginal product is $24.95 per hour.
The highest wage the firm will pay is $24.95 per hour.
<h3>What is the value of Penny's marginal product?</h3>
This can be found by the formula:
= Price x Marginal product of Penny
= 4.99 x 5
= $24.95 per hour
The highest wage the firm can pay would be the wage amount that equals their marginal revenue as this is the only way they can maximize profit.
Their marginal revenue in this case is the $24.95 per hour that they pay to Penny so this will be their highest wage to her as well.
Find out more on profit maximization at brainly.com/question/13749309.
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We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2.
Basically you know that the 2 wholes from both sides cancel out.
Set up the equation, 5/8 = 3/12 + 3/x
3/x = 5/8 - 3/12
Set them to have a common denominator, 3/x = 15/24 - 6/24
3/x = 9/24
Simplify 9/24 and you will get 3/8
3/x = 3/8
Obviously this means x = 8