Answer:
4 m
Step-by-step explanation:
The geometry is that of a right triangle with hypotenuse 8.5 m and one side of length 7.5 m. If "b" represents the distance from the base of the ladder to the wall, the Pythagorean theorem tells us ...
b² + 7.5² = 8.5²
b² + 56.25 = 72.25
b² = 16 . . . . . . . . . . . . . subtract 56.25
b = 4 . . . . meters . . . (take the square root)
The base of the ladder is 4 m from the wall.
_____
You may recognize this as the 8-15-17 Pythagorean triple, scaled by 1/2.
Answer:
Original price was $2163
Step-by-step explanation:
Let original price be x
23% of x = 497.42
23/100 × x = 497.42
23x/100=497.42/1
Cross multipy,
23x × 1 = 497.42 × 100
23x=49742
x=49742/23
x=2,163 approximately
Since the angle they have to equal is 97 the answer is 12
Answer:
80 feet
Step-by-step explanation:
1 inch represents 10 feet
Then 8 inches represent = 8 × 10
= 80 feet
Answer:
4/25
Step-by-step explanation:
The probability the first spin lands on gray is 8/10 = 4/5.
The probability the second spin lands on blue is 2/10 = 1/5.
The probability of both events is 4/5 × 1/5 = 4/25.