Answer 9.75 ft
Reason
Using the Pythagorean theory,
a^2 + b^2 = c^2 (the hypotenuse)
Since we know the diagonal measurement (the hypotenuse) we will call c=12
We know one leg is 7, so we will call b=7
Now we will solve for “a”
Changing the equation to subtract
c^2 - b^2 = a^2
Substitute in our numbers
12^2 - 7^2 = a^2
144-49= a^2
95 = a^2
Take square root of both sides
9.746 = “a” the unknown length
Round to nearest hundredth
9.75
Answer: 450 is divisible by 2, 3, 5, 6, and 9
Step-by-step explanation: 450 is divisible by 2 because the last digit (0) is an even number.
Divisible by three because the sum of all the digits in 450 is a multiple of three: 4+5+0 = 9 which is 3*3.
Divisible by 5 because it ends with a 0 (could also end in 5)
Divisible by 6 because it is divisible by both 2 and 3 (2*3=6)
Divisible by 9 because 45 is divisible by 9.
Answer:
B
Step-by-step explanation:
The longer the handle to the bottle opener, the more leverage you have to pop the seal.
Rule: y = kx (y varies directly with x)
Then 12=k(3), and k=4. Then the rule (direct variation) becomes y=4x.
Now let x=10. Then y=4(10) = 40 (answer)
Divide 171 by 3 which equals to 57:1