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Ray Of Light [21]
3 years ago
6

Country A produces about four times the amount of diamonds in carats produced in country B. If the total produced in both countr

ies is 25 comma 000 comma 000 ​carats, find the amount produced in each country.
Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

Country A produces 20,000,000 & Country B produces 5,000,000

Step-by-step explanation:

Let

amount of diamonds produced by country A be x

and

amount of diamonds produced by country B be y

Since, Country A produces 4 times that of Country B, we can write:

x = 4y

Also, both countries produces a total of 25,000,000 carats, so we can write:

x + y = 25,000,000

Now, we need to find x and y. Putting 1st equation into 2nd equation, we get equation in y. Then we solve for y:

x + y = 25,000,000

4y + y = 25,000,000

5y = 25,000,000

y = 25,000,000/5

y = 5,000,000

And now, x = 4y, so x = 4(5,000,000) = 20,000,000

So Country A produces 20,000,000 & Country B produces 5,000,000 diamond carats

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2 years ago
A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole. The pole is 48 ft tall. W
Irina-Kira [14]

Answer:

73 feet.

Step-by-step explanation:

Given:

A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole.

The pole is 48 ft tall.

Question asked:

What is the length of the rope?

Solution:

Here we found that a right angle triangle is formed in which base and height is given <u>as shown in the figure, </u>we have to find the longest side of the triangle,

Base = 55 feet

Height = 48 feet

Length of the rope = ?

By Pythagoras theorem:

Square of longest side = Square of base + Square of height

               (Longest\  side)^{2} =  55^{2} +48^{2}

                (Longest\  side)^{2} =  3025+2304

               (Longest\  side)^{2} =  5329

                 Taking root both side

            \sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{5329}

                Longest\  side =  73

Thus, length of the rope is 73 feet.

                                     

Download docx
5 0
3 years ago
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