Answer: 7cm
Step-by-step explanation:
The perimeter of a triangle is calculated by adding the length of the 3 sides together. Let the third side be x , then
x + 9 + 6 = 22
x + 15 = 22
Subtract 15 from both sides , that is
x = 22 - 15
x = 7
Therefore : the third side is 7cm
To solve this problem, we are going to use a method called dimensional analysis. This involves canceling out units by multiplying by fractions equivalent to 1. We begin with our given information, that the jet flies 500 miles in one hour, and we multiply that by the fraction 1 hour/60 minutes, which is equivalent to 1. We also have to multiply by 1 minute/60 seconds, because we are looking for the amount of miles the jet flies in seconds.
500 miles/1 hour * 1 hour/60 minutes * 1 minute/60 seconds = 500 miles/3,600 seconds
Now that we have our equivalent in seconds, we must multiply by 10 seconds in order to find our answer.
500 miles/3,600 seconds * 10 seconds = approximately 1.3888 miles
Therefore, the jet flies about 1.39 miles in 10 seconds.
Hope this helps!
Answer:
28/289
Step-by-step explanation:
7 red, 4 blue, and 6 white = 17 marbles
P ( red ) = number of red / total
= 7/17
Replace the marble
7 red, 4 blue, and 6 white = 17 marbles
P ( blue ) = number of blue / total
= 4/17
P (red, replace, blue) = 7/17* 4/17
=28/289
Answer:
x ≥ -1/2
Step-by-step explanation:
We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:
To find our domain, we need to set the square root equal to zero:
√(4x + 2) = 0
4x + 2 = 0
4x = -2
x = -1/2
We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2
Alternatively, we can graph the function and analyze domain:
Answer:
Here are pictures of the graph and corresponding table. Hope this helps!
Step-by-step explanation: