A) The answer is 24 m
x - the distance from the spot on the beach to the parking lot
Triangles that are divided by x distance is similar, and therefore:
x : 18 = 32 : x
x * x = 18 * 32
x² = 576
x = √576
x = 24
Thus, the distance <span>the spot on the beach from the parking lot is 24 m.
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b) The answer is 40 m.
x - the distance from the spot on the beach to the parking lot
b - distance from the parking lot to the refreshment stand.
First, find the horizontal leg (a) of the biggest right triangle. According to the Pythagorean theorem:
a² + b² = c²
a = ?
b = ?
c = 32 m + 18 m = 50 m
Find a from the right triangle which sides are a (as a hypotenuse), x, and 18 m.
x² + 18² = a²
x = 24
24² + 18² = a²
576 + 324 = a²
900 = a²
a = √900
a = 30 m
Now, find b:
a² + b² = c²
30² + b² = 50²
900 + b² = 2500
b² = 2500 - 900
b² = 1600
b = √1600
b = 40 m
Thus the distance from the parking lot to get the refreshment stand is 40 m.
Answer:
the answer is 7/11
Step-by-step explanation:
hope this helps
Answer is in a photo. I can only upload it to a file hosting service. link below!
There is one 8 in each intervals: 1-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-79, 90-100, and ten numbers with 8 in 80-89.
from 1-100, there are a total of nineteen 8's.
So from 101-200, there will be nineteen as well. Same goes for 201-300.
so,
19*3=57
There are fifty seven number with 8 from 1 to 300
