Answer:
21.06÷9 = 2 and 36 left over
Step-by-step explanation:
The two friends will be 150 miles apart, when the sum of the distances covered by the them is 150 miles.
distance = speed x time.
Let the time covered when they are 150 miles apart be x, then:
40x + 35x = 150
75x = 150
x = 150/75 = 2.
Therefore, the two friends will be 150 miles apart in 2 hours.
Answer:
42 cm.
Step-by-step explanation:
Please find the attachment.
Let x be the length of diagonal of the square.
We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.
We can see from our diagram that triangle AC is the diagonal of our square.
Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.
Upon substituting our given values in above formula we will get,
Let us take square root of both sides of our equation.
Therefore, the length of diagonal of our given square is 42 cm.
Answer:
Step-by-step explanation:the anwser is the middle one
x^2 = the first integer
(x - 1)^2 = the second integer.
x^2 - (x - 1)^2 = ?
First, let's plug a number into our equation for x.
(2)^2 - (2 - 1)^2 = ?
4 - (1)^2 = ?
4 - 1 = 3
As we can see the difference is odd but it's also the sum of the two consecutive integers.
2 + 1 = 3.
This works for all numbers. Let's plug another number into our equation for x.
(4)^2 - (4 - 1)^2 = ?
16 - (3)^2 = ?
16 - 9 = 7
4 + 3 = 7
Try any number and it will always be odd.
