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ELEN [110]
3 years ago
8

If Alberto's school is 3 miles due south of his house and 4 miles due west of Jimmy's house, what is the straight line distance

between Alberto's house and Jimmy's house?
Mathematics
2 answers:
Hoochie [10]3 years ago
5 0

using the Pythagorean Thereom:

3^2 +4^2 = X^2

9 +16 = 25

x^2 = 25

X = sqrt (25)

x = 5

 it would be 5 miles

Monica [59]3 years ago
3 0

Answer:

5 miles

Step-by-step explanation:

Going 3 miles due south and 4 miles due east (since school is 4 miles west of Jimmy's house, this means Jimmy's house is due east of the school) forms the legs of a right triangle.

To find the missing side length of a right triangle, we use the Pythagorean theorem:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

The opposite of "squared" is "square root":

√25 = √(c²)

5 = c

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Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:

... (100 -x) = 3(100 -2x)

... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side

... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms

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4 0
3 years ago
Select the condition for which it is NOT possible to construct a triangle.
maw [93]

Answer:

A triangle with side lengths 4 cm, 5 cm, and 15 cm

Step-by-step explanation:

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6 0
2 years ago
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Answer:

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Answer:

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