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Julli [10]
3 years ago
12

Matthew made a scale model of the solar system for a science project. He created the planet Mercury with a diameter of 6 inches.

According to the scale, what is the actual diameter of Mercury? *

Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

3000

Step-by-step explanation:

I'm learning this right now too!

500×6in=3000

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The function f(x)=-(x-3)^2 +9 can be used to represent the area of a rectangle with the perimeter of 12 units, as a function of
Ivenika [448]

Maximum area of the rectangle is 9cm^{2}

<u>Explanation:</u>

<u></u>

Considering the dimensions to be in cm

f(x) = -(x-3)^{2} +9\\f(x) = -(x^{2} +9 - 6x)+9\\f(x) = -x^{2} +6x\\f'(x) = -2x+6\\-2x+6 = 0\\2x=6\\x=3cm\\\\

Putting the value of x = 3

Perimeter = 2(x+b)\\12 = 2(3+b)\\6 = 3+b\\b= 3cm

Area of rectangle = x X b\\                              = 3 X 3\\                              = 9cm^{2}

Therefore, maximum area of the rectangle is 9cm^{2}

7 0
3 years ago
Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece meters long. Then she cuts a piec
Lubov Fominskaja [6]

Complete question :

Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon. How much ribbon does Leah have left?

Answer:

5 m

Step-by-step explanation:

Total ribbon cut :

3 4/9 + 6 5/9 =

31/9 + 59/9

= 90 /9

= 10 meters

Total Length of ribbon = 15 m

Ribbon left :

15 - 10 = 5 m

4 0
3 years ago
What is 30% of 29 dollars
Vika [28.1K]
0.30 multiplied by 29 = 8.7 dollars
6 0
3 years ago
Read 2 more answers
A large pizza has a diameter of 35cm. 2 large pizzas cost $19.99 A medium pizza has a diameter of 30cm. 3 medium pizzas cost $24
insens350 [35]
So first we need to find the area of both using a=3.14*radius*radius

to find the radius we need to divide 35 by 2 (large) and 30 by 2 (medium)

lets do the large first since the raidus is 17.5 we put it into a=3.14*17.5*17.5

and then we get 961.63, for the medium we do a=3.14*15*15 which is 706.50

now for the large 961.63 * 2 is 1923.26 and the price is 19.99 

for the medium we do 706.50 *  3 which is 2119.5 and costs 24.99

So the medium pizzas are a better deal
3 0
3 years ago
10ft 19 ft how do you do this
tino4ka555 [31]
 If we're talking about a box with dimensions 10 ft, 19 ft and 20 ft, it's probable that the instructions say to calculate the volume.  That would be

V = (10 ft)(19 ft)(20 ft) = 3800 cubic feet.
8 0
3 years ago
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