Answer:
The skaters are 2.5 feet apart
Step-by-step explanation:
Firstly, please check attachment for diagrammatic representation.
To calculate the distance apart, this is same as the length PJ
To calculate this length, we can use the cosine rule as follows;
O^2 = P^2 + J^2 -2(P)(J)Cos 15
O^2 = 7^2 + 5^2 -2(7)(5)Cos 15
O^2 = 49 + 25 - 70Cos15
O^2 = 74 - 67.61
O^2 = 6.39
O = √6.39
O = 2.53
O = 2.5 feet to the nearest tenth of a foot
Answer:
10%
-0.1
1/4
Step-by-step explanation:
Complete question
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply. 10% 1 -0.1 -1 One-fourth
step-by-step explanation
On the number line, numbers increase from left to right.
The blank is between -0.2 and 1/2.
Only numbers greater than -0.2 and less than 1/2 can fill the blank.
Range = -0.2<x<1/2
From the values given,
1) 10% = 10/100 = 1/10 = 0.1
-0.2<0.1<1/2
2) -0.2<1
But, 1>1/2
3) -0.2<-0.1<1/2
4) -0.2>-1
5) -0.2<1/4<1/2
Therefore, only 10%, -0.1, and 1/4 can fill in the blank correctly because they satisfy the range -0.2<x<1/2
