Two friends leave school at the same time, sarah is heading due north and beth is heading due east. One hour later they are 10 m
iles apart. If sarah traveled 8 miles from the school, how many miles had beth traveled?
1 answer:
Answer:
The value of distance traveled by the beat = 6 miles
Step-by-step explanation:
From Δ ABC
AC = distance between two persons after one hour = 10 miles
AB = Distance traveled by sarah = 8 miles
BC = Distance traveled by beth = x miles
From pythagoras theorm
x = 6 miles
This is the value of distance traveled by the beat.
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The given number sentence is simplified as 1 3/5
<u>Step-by-step explanation:</u>
The given number sentence is 2-4/5 x 1/2
- In order to solve this, the operations must be performed based on the BODMAS rule.
- This means that, the operations should be performed in the order of Bracket, Of, Division, Multiplication, Addition and Subtraction.
Here, based on that above rule, the multiplication must be done in the first step and then subtraction should be done in the next step.
⇒ 2 - 4/5 × 1/2
⇒ 2 - 4/10
⇒ 2 - 2/5
Therefore, the given expression is reduced to 2- 2/5
cross multiply the denominator 5
⇒ (10-2) / 5
⇒ 8/5
Now, the expression is reduced to single term 8/5.
To further reduce the term, divide 8 by 5.
- The quotient is 1.
- The remainder is 3.
- The divisor is 5.
The answer is written in the form of
⇒ 1 3/5