1) Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:
(3)<span>2 </span>+ (4)2 =
9 + 16 = C2
√25 = C
5 Miles. = C
Walking through the field will be 2 miles shorter than walking along the roads. .
2) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem:
(5)<span>2 </span>+ (2)2 =
25 + 4 = C2
√100 = C
5.3 m. = C
Thus, the painter will need a ladder about 5 meters high.
3) Buying a Suitcase: Mr. Harry wants to purchase a suitcase. The shopkeeper tells Mr. Harry that he has a 30 inch of suitcase available at present and the height of the suitcase is 18 inches. Calculate the actual length of the suitcase for Mr. Harry using Pythagoras' theorem. It is calculated this way:
(18)<span>2 </span>+ (b)2 = (30)2
324 + b2 = 900
B2 = 900 – 324
b= √576
= 24 inches
An ??????
Well to figure this out, we will use mathematics. You do 90% of the an and then do 39 which is close to 90 and then because it has 9 in the number that is given. So, 213 is incorrect. 90% of the things like 213, = 39. And if it equals 39, then here comes 90. 90 comes in as a number to help, but 213 does to. So we will divide the number 9. 9 = 2, and since 213 has the first digit 2 in the number, that means that the answer is An number that equals 2 is the common side of two consecutive angles in a polygon.
Just a answer!
(a) P( fifth one is bad) = P( first 4 are OK) * P(5th is bad)
= (0.98)^4 * 0.02 = 0.0184 or 1.84%
(b) this will be (0.98)^10 = 81.70%
Answer:
2/35
Step-by-step explanation:
Assuming that this is without replacement,
The total amount of marbles is 2+9+3+7, or 21.
9 are yellow, 3 are white. this makes 12.
The probability of selecting a white or yellow marble is 12/21.
Now without replacement (comment if it is with replacement.), there are 20 marbles left, and 2 are Cordovan. This means there is a 2/20 chance then of picking a Cordovan marble.
After multiplying the fractions we get
(12/21) * (2/20) = 2/35.
There is a 2/35 chance of selecting a yellow or white, then a cordovan marble.
Answer:
Park A
Step-by-step explanation:
Park b in decimal: 17 ÷ 8 = 2.125 miles
Park A is closer
