This is to do with ratios, the idea behind it is that you see that the side of length 24 is an enlarged version of the side labelled 16. Using this you can see that the ratio of enlargement is 1.5, therefore x = 26/1.5 = 53/2
Answer:
1668 feet.
Step-by-step explanation:
We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.
If the distance required is x (adj side) we have:
tan 41 = opp/adj
tan 41 = 1450/x
x = 1450 / tan 41
= 1668.03
Since the problem is requesting the answer in minutes, we are going to convert the speed of Mr. Peter to miles per minutes; to do that, we are going to multiply his speed by the multiplier

:

Now, to find the distance from Boston to Worcester, we are going to use the distance formula:

where

is the distance

is the speed

is the time
We know that the speed of Mr. Peter is

and his time is 30 minutes. Lets replace those values in our formula:


Now, lets concentrate on Mr. Peter clone, Mr. P:
Lets convert the speed of Mr. P to miles per minute:

We also know that they will cover the same distance, 30 miles. Lets replace the values in our formula one more time to find t:




But since Mr. P <span>leaves 5 minutes after Mr. Peters, we need to add those 5 minutes to M. P's time:
</span>

We can conclude that Mr. P will arrive first, 5 minutes before Mr. Peter.
Answer: slope is 1
equation: 1x-2 or x-2
I hope this is good enough:
Step-by-step explanation:
plug the coordinate points into the equations and solve for the remaining variable.
b) (2,3) - 5(2) + b(3) = 16
10 + 3b = 16. 3b= 6. b = 2
(0,8) - 5(0) + 2(8) = 16. 0+ 16 = 16. ☆
a) (4,4) assume based on results you meant y squared. (y^2)
(4)^2 = 4k. 16 = 4k. k = 4
(8)^2 = 4(16). 64 = 64. ☆