Answer:
D
Step-by-step explanation:
Imagine this as a right angle triangle, where the diagonal length is the hypotenuse, the length is one side, and the width is the other.
We can therefore use Pythagoras' Theorem (or Pythagorean Theorem) to solve. The formula for this is a²+b²=c², where c is the hypotenuse, and a and b are the sides.
We can input the values we know to this formula to get the width. This gives 110²+b²=133.14² or 12100+b²=17 726.2596.
From there subtracting 12100 from both sides gives b²=5626.2596.
Square rooting b isolates it, leaving b=75.0083969.
Since the value of the diagonal was approximate, this can be assumed the b is 75m.
**This content involves Pythagoras' Theorem/Pythagorean Theorem, which you may wish to revise. I'm always happy to help!
Answer:
310 / 1000 = 0.31 pounds
Step-by-step explanation:
When dividing by a number that is 1 less 0 than how many digits the number has, we can move the decimal point the number of times zero is repeated at the end of the number.
1000 has 3 zeroes, so we move the decimal point 3 moves to the left.
So, we do this:
After 0 moves: 310
After 1 move: 31.0
After 2 moves: 3.10
After 3 moves = 0.310
0.310 is the same as 0.31
Therefore, 0.31 pounds of flour are in each loaf.
Answer:
11 hours
Step-by-step explanation:
Setting up a system of equations and using the substitution method will give you the number of hours used by each tap. Let a = time for tap A and b = time for tap B:
a + b = 12 (A and B fill a tank in 12 hours)
a = b - 10 (tap A takes 10 hours less than tap B)
Substitute 'b - 10' for 'a' in the first equation:
b - 10 + b = 12
Combine like terms: 2b - 10 = 12
Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22
Divide by 2: 2b/2 = 22/2
Solve for b: b = 11 hours
Answer:
Applied the definition and the limit.
They had the same result, so the function is continuous.
Step-by-step explanation:
At function f(x) is continuous at x = a if:
In this question:
At x = 3.
Since 
, f(x) is continuous at x = 3.
