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pashok25 [27]
3 years ago
8

The diameter of the moon is 2,160 miles. A model has a scale of 1 in : 150 mi. What is the diameter of the model?

Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0

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:

\frac{1}{150}   = \frac{k}{2160}

⇒k = \frac{2160}{150} \\\implies k =  14.4

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.

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Step-by-step explanation:

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I need help on this 2 problems please help​
Digiron [165]

Answer:

3. 294 m²

4. 185,856 mm²

Step-by-step explanation:

To find the surface area of any figure, you can simply find the sum of the areas of all the sides.  In question 3, the figure is a triangular prism that has two triangular bases and three rectangular sides.  The measurements for the triangles are b = 9m and h = 6m.  The formula for the area of a triangle is base times height divided by 2, or 9 x 6 = 54/2 = 27 m². However, since there are two triangular bases, the area for both is 54 m².  The measurements for the other three rectangles are given:

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The surface area of a cube is much easier since all sides are equal and can be found using the formula:

SA = 6s², where 's' represents the measure of a side.

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3 years ago
Ariel was playing basketball. 1 of her shots went in the hoop. 2 of her shots did not going the hoop. how many shots were there
Xelga [282]

There were 3 shots total.

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3 years ago
Read 2 more answers
Robert went to the grocery store and purchased cans of soup and frozen dinners. each can of soup has 300 mg of sodium and each f
Paraphin [41]

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Step-by-step explanation:

Let,

Soup = x

Frozen Dinner = y

According to given statement of sodium;

300x + 500y = 5200 eqn 1

And,

x + y = 14 eqn 2

Multiplying\ equation\ 2\ with\ 300\\300(x+y=14)\\300x+300y=4200\ Eqn 3\\

Subtracting Eqn 3 from Eqn 1;

(300x+500y)-(300x+300y)=5200-4200\\300x+500y-300x-300y=1000\\200y=1000\\y=\frac{1000}{200} \\y=5

Putting value of y in Eqn 1;

300x+500(5)=5200\\300x+2500=5200\\\\Subtracting\ 2500\ from\ both\ sides\ \\300x+2500-2500=5200-2500\\300x=2700\\x=\frac{2700}{300} \\x=9

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Keywords: Variables, linear equations, subtraction.

Learn more about linear equations at;

  • brainly.com/question/5047646
  • brainly.com/question/5048216

#LearnwithBrainly

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3 years ago
Given the quadratic relation y = -x2 + 6x - 6, a) write the equation in vertex form b) graph the quadratic relation (using noteb
Mekhanik [1.2K]
<h3>Answer:</h3>
  • y = -(x -3)² +3 . . . . (agrees with your answer)
  • see the attachment for a graph
<h3>Step-by-step explanation:</h3>

Factoring the leading -1 from the first two terms, we have ...

... y = -(x² -6x) -6

Adding 9 inside parentheses to complete the square, then adding the opposite amount outside parentheses, we have ...

... y = -(x² -6x +9) -6 +9

... y = -(x -3)² +3

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3 years ago
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