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mestny [16]
3 years ago
7

13. What is x in the diagram?

Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

Answer:

x = 6\sqrt{3}

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse) , so

x² = 9 × (9 + 3) = 9 × 12 = 108 ( take square root of both sides )

x = \sqrt{108} = \sqrt{36(3)} = \sqrt{36} × \sqrt{3} = 6\sqrt{3}

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Weiming, Joyce and Siti divide cookies to sell in a ratio of 5: 12: 9. After Weiming sold 28 cookies, the ratio becomes 1: 8: 6.
Strike441 [17]

Answer:

216 cookies

Step-by-step explanation:

From the question,

Let the total cookies in the first place be x cookies.

Their ratio = 5:12:9

Total  = 5+12+9 = 26.

Weiming share = (5/26)x = 5x/26

If weiming sold 28 cookies

⇒ (5x/26)-28

⇒ (5x-728)/28

Hence Weiming new share = (5x-728)/28 cookies

The new ratio is 1:8:6

The total cookies becomes = x-28

Therefore,

(1/15)(x-28) = (5x-728)/28

(x-28)/15 = (5x-728)/28

Crossmultiply

28(x-28) = 15(5x-728)

28x-784 = 75x-10920

Collect like terms

28x-75x = -10920+784

-47x = -10136

x = -10136/-47

x = 215.7

x ≈ 216 cookies

8 0
3 years ago
7. Slips are drawn form a box containing 100 slips written with numbers 1 to 100. If three slips are
Svetradugi [14.3K]

Answer:

D

Step-by-step explanation:

We need the numbers of each before we can calculate the probability

Number of even numbers are 50

Number of odd numbers are 50

Number of perfect squares;

1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 and 100

10 perfect squares

Probability of selecting even = probability of selecting odd = 50/100 = 1/2

Probability of selecting a perfect square = 10/100 = 1/10

Thus, the probability of having the draws in the other stated in the question will be;

1/2 * 1/2 * 1/10 = 1/40

7 0
3 years ago
A side of a square is 16 units. What is its area?
pogonyaev

Answer:

4

Step-by-step explanation:

4×4=16

have a great day :)

5 0
3 years ago
Read 2 more answers
What exponent goes with the area of a triangle​
user100 [1]

Answer:

its just 1/2 times base times height

Step-by-step explanation:

7 0
3 years ago
Which of the following is equivalent to:<br> −−(2+5)−(3−7)?
Umnica [9.8K]

Answer:

You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!

Step-by-step explanation:

3 0
2 years ago
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