Answer:
The second one, my order is different, but they are equivalent answers
Step-by-step explanation: 6 22 22 18
(√6 + √11) / (√5 +√3) multiple top and by (√5 - √3) note the minus
(√6 + √11) × (√5 - √3) / (√5 +√3) x (√5 - √3)
(√30 + √55 - √18 - √33) / (5 - 3)
(√30 + √55 - 3√2 - √33) / 2
Answer:
55/100
Step-by-step explanation:
22 of the 40 questions are answered correctly.
To find the percentage I multiply 22/40 by 100/100(it is equal 1)
(22/40)*100/100 = (22*100/40)/100 =55/100
Answer:
0.31
Step-by-step explanation:
This is a good question to ask your calculator. Be sure to use appropriate parentheses. You need them around the exponent of e as well as around the denominator.
I'm assuming each grid square= 1 square mile.
To do this, you first need to find the total distance.
The first component of his walk takes him from an x-coordinate of 2 to a coordinate of -4 1/2. Since the y-value remains the same, you're not worried about that for this part of the problem. The difference between 2 and -4 1/2 is 6 1/2, so that is your horizontal distance.
Now he walks from the (-4 1/2, -1 3/4) to (-4 1/2, 5 1/4). This time, the x-value is constant, so you only need to worry about the y. As they are on opposite sides of the x-axis, you can add the y-values to get a result of 7, which is your vertical distance.
I just realized I did those distances in reverse order, but it should be ok because the total distance is the same.
To find the total distance, add vertical to horizontal.
6 1/2 + 7 = 13 1/2. This is your total distance.
Now that you have both his speed (given), and total distance, you can find the time it will take him. If he is moving at 4 1/2 mph and the distance is 13 1/2 miles, you can use s=d/t to find the time. 3 1/2 miles divided by the time = 4 1/2 mph. To solve for t, multiply both sides by t and divide that by s, so t= d/s. we know d= 13 1/2 and s= 4 1/2, so t= 13.5 divided by 4.5 = 3. As his speed is in mph, the unit is in hours. Therefore, the answer should be 3 hours.