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Ber [7]
3 years ago
5

A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter

s. A dart is randomly thrown at the board. A triangle is inside of a rectangle. The height of the triangle is the same as the height of the rectangle. Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle? Round to the nearest whole percent. 18% 25% 35% 50%
Mathematics
2 answers:
solong [7]3 years ago
8 0

Answer:

25%

Step-by-step explanation:

Correct on edge.

amm18123 years ago
4 0

Answer:

25%

Step-by-step explanation:

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How many different arrangements can be made with the letter of the word 'M O R O C C O'?
valentinak56 [21]
Since the order matters, it's a permutation of 7 letters, but mind you in 
MOROCCO. you have 3 O's and 2 C's, Hence the arrangements are:

⁷P₇ /(3!2!) = 7!/(3!2!) = 5040/(3!2!) = 420 arrangements 
8 0
3 years ago
A mistake was made in mixing the lemonade—<br> PLEASE HELP!!
beks73 [17]

Answer:

Part A:

4 + x = y

0.5*4 + 1*x = 0.7*y

x = 8/3\ quarts\ of\ 100\%\ solution

y = 20/3\ quarts\ of\ 70\%\ solution

Part B:

x + y = 10

2x + 3y = 23

x = 7 and y = 3

Step-by-step explanation:

Part A:

The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:

4 + x = y

0.5*4 + 1*x = 0.7*y

Using the value of y from the first equation in the second one, we have:

2 + x = 0.7*(4 + x)

2 + x = 2.8 + 0.7x

0.3x = 0.8

x = 8/3\ quarts

y = 4 + 8/3 = 20/3\ quarts

Part B:

If he shoots a total of ten targets, we can write the equation:

x + y = 10

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

2x + 3y = 23

If we subtract the second equation by two times the first one, we have:

2x + 3y - 2*(x + y) = 23 - 2*10

2x + 3y - 2x - 2y = 23 - 20

y = 3

x + 3 = 10 ⇒ x = 7

4 0
3 years ago
The answer to get it right
Ronch [10]

Answer:

Answer is A

Step-by-step explanation:

5 0
3 years ago
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natka813 [3]

Answer:

(5,-3)

Step-by-step explanation:

4 0
3 years ago
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Help please thank you:) QUICKLY!!!!!!!!!
STALIN [3.7K]

Answer:

y = -8

Step-by-step explanation:

2x2 - 12

4 - 12 = -8

hope this helps

4 0
3 years ago
Read 2 more answers
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