Answer: 30
Step-by-step explanation: 30 is the first multiple that both 5 and 6 share, and as such should be the denominator
There are 3 right triangles.
Long leg short leg hypotenuse
Large ? ? 32+18 = 50 m
Medium 32 m x ?
Small x 18 m ?
Similar triangles: small & medium
short leg / long leg
x/32 = 18/x
x*x = 18 * 32
x² = 576
√x² = √576
x = 24
Long leg short leg hypotenuse
Large ? → 40 m ? 32+18 = 50 m
Medium 32 m 24 m ? → 40 m
Small 24 m 18 m ? → 30 m
solve hypotenuse of medium and small using Pythagorean theorem.
32² + 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 = c
24² + 18² = c²
576 + 324 = c²
900 = c²
√900 = √c²
30 = c
Solve for the long leg of the large right triangle using ratio and proportion
medium and large: long leg / hypotenuse
32/40 = x/50
32*50 = 40 * x
1600 = 40x
1600/40 = x
40 = x
<span>
</span><span>A. How far is the spot on the beach from the parking lot? 24 meters
B. How far will he have to walk from the parking lot to get to the refreshment stand? 40 meters
</span>
Short Answer: 5/36
How many ways can you throw two 6 sided dice?
Since each dice has six sides, the total number of ways is 6*6 = 36 ways.
How many ways can an 8 be thrown? To make the differences easier to see use a green colored die and a red colored die.
Red Green
2 6
6 2
5 3
3 5
4 4 That's five different ways of getting an 8.
The probability is
5 / 36 <<<<< answer
3/5*10 is the same as 3/5*10/1 and it should be 30/5 which is the same as 6.
So, 3/5*10 is 6