Answer:
5 mph.
Step-by-step explanation:
Let the runner travel at x miles an hour , then the cyclist travels at 5/ 3 * x
= 5/3 x miles an hour.
So we have the equation
5/3 x - x = 2 ( since the cyclist was travelling at 2 mph faster).,
2/3 x = 2
x = 3/2 * 2 = 3 mph.
So the cyclists speed was 3 * 5/3
= 5 mph.
Step-by-step explanation:
Sum of −8.46 and 5.31 means we need to add −8.46+5.31.
We know that,
|-8.46| > |5.31|
It means we subtract 8.46 - 5.31
At hundredth place, 6-1 = 5
At tenths place, 4-3 = 1
At ones place, 8-5 = 3
It would mean that, 8.46 - 5.31 = 3.15
8.46 has a negative sign. It means that the final answer will have negative sign i.e. −8.46+5.31 = -3.15
Hence, the correct option is (a) " Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is negative".
The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2
Given that the softball diamond is square in shape.
Let the side of the square i.e. distance between consecutive bases is x
The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.
Using the Pythagorean theorem we have:
x² +x²= c²,
where c is the distance from the 1st base to the 3rd base.
Combining similar terms gives us
2x²=c²
Taking the square root of both sides we have
√2x²= √c²
⇒x√2=c
⇒c=x√2
This is the expression for the distance from the 1st base to the 3rd base in terms of side length.
Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.
Learn more about the Pythagorean theorem
here: brainly.com/question/231802
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Answer: 150 min
Step-by-step explanation:
2 hours = 120 min, 120 + 30 min = 150 min
Answer:
True
Step-by-step explanation:
Plug in the point:
-2 - (-1) = -2 + 1 = -1 <0.
This is a true statement
