To get from point A to point C you must avoid walking through a pong. You must walk 34 m south and 41 m east. how many meters would be saved if it were possible to make a way through the pond?
A. 34 ² + 41² = 2, 837 and √2837= 53.26 m.
B. 34 ² x 41² = 2, 837 and √12837= 121.74 m.
C. 34 x 41 = 2000 and √2000= 121.74 m.
The correct answer is A. 34² + 41² = 2837 and √2837 = 53.26 m.
This is the Pythagorean theorem, which can be used to calculate the hypotenuse of a right triangle when given the lengths of the other two sides. In this case, the 34 m and 41 m are the lengths of the two sides, and √2837 is the length of the hypotenuse if you were to go straight through the pond.
To calculate the amount of meters saved, you would subtract the length of the actual route (34 m south and 41 m east) from the length of the straight route through the pond (53.26 m).
Therefore, the amount of meters saved is 53.26 m - (34 m + 41 m) = 53.26 m - 75 m = -21.74 m.
Since negative meters do not make sense in this context, there is actually no meters saved by going through the pond.
What is the hypotonuse (c) in this question? Also, if a= 5 feet, which side do we need to find ?
wendy and lilly were playing ball in the yard when the ball got stuck in a tree. it is too high for them to reach, so they need to get a ladder. when the 13 ft. ladder is leaned agains the tree, the top of the ladder is even with the ball. the distance between the base of the tree ad the bottom of the ladder is 5 ft. how high is the ball i the tree
A. The hypotonuse is 13 feet & looking for side c. (distance
between ladder & tree)
B. The hypotonuse is 5 feet and we are looking for side b. (height of ball in tree)
C. The hypotonuse is 13 feet and we are looking for side b. (height of ball in tree)
In this question, the hypotenuse (c) is the length of the ladder, which is given as 13 feet.
Since the height of the ball in the tree is what is being asked for, we are looking for side b, not side c.
Therefore, the correct answer is C. The hypotenuse is 13 feet and we are looking for side b, which is the height of the ball in the tree.
What formula can we use to find how high the ball is in the tree?
1 point
A. 13 + 5 = 18 18² = 325 so b=324 feet
B. 13² -5² =169 -25 = 144. and √144= 12 so b=12 feet
C. 13² + 5² =169 + 25 = 194. and √194= 14 so b=14 feet
The correct formula to use to find the height of the ball in the tree is the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the two other sides (a and b).
Based on the given information, the length of the ladder (hypotenuse) is 13 feet, and the distance between the base of the tree and the bottom of the ladder (one of the other sides) is 5 feet. Therefore, we are looking to find the height of the ball in the tree (the other side, which we'll call b).
Using the Pythagorean theorem, the correct answer is C. 13² + 5² = 169 + 25 = 194. Taking the square root of 194 gives us approximately 13.9282, so b is approximately 14 feet.
Jaya starts driving north for 9 miles, then takes a right turn, and then he drives east for another 40 miles. At the end of driving, what is the distance of a straight line from the starting point?
A. 9 + 40 =49 √49 = 7.2 miles
B. (40)² - (9)² =1600- 81= 1590 and √1590 = 40 miles
C.
(9)² + (40)² =81 + 1600 = 1681 and √1681 = 41 miles
The correct formula to use to find the distance of a straight line from the starting point is the Pythagorean theorem.
In this case, Jaya first drives north for 9 miles, and then east for 40 miles. This creates a right triangle, where the northward distance is one side (a) and the eastward distance is the other side (b).
Using the Pythagorean theorem, the correct answer is C. (9)² + (40)² = 81 + 1600 = 1681. Taking the square root of 1681 gives us approximately 41 miles.
Therefore, the distance of a straight line from the starting point is approximately 41 miles.
Mary wants to cut across a rectangular lot rather than walk around it. The lot is 120 feet long and 50 feet wide. Mary walks diagonally across the lot, how many feet is the short cut?
A. (50)² + (120)² = 2500 + 14,400= 16,900 and √16,900 = 130 ft
B. 50 + 120 = 170 and √170= 13 ft
C. (50)² + (120)² = 100+ 240= 340 and √340= 18 feet.
To find the length of the shortcut, we need to use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
In this case, the rectangular lot forms a right triangle. The two sides of the lot represent the lengths a = 50 feet and b = 120 feet.
Using the Pythagorean theorem, the correct answer is A. (50)² + (120)² = 2500 + 14400 = 16900. Taking the square root of 16900 gives us approximately 130 feet.
Therefore, the length of the shortcut is approximately 130 feet.
Two kids are flying a kite with a string of 50 meters long. If the kids are 35 meters apart, how high is the kite off the ground? What formula should you use to solve?
Length of the string when in air (c) = 50 meters
The distance of kids apart (b) = 35 meters
The height of the kite off the ground = (a) ?
A. Use a² + b² = c² to solve. (50)² + (35)²=a²
B. Use c² - b² = a² to solve. (50)² - (35)² = a²
C .Just guess!