Your answer would be 64 in².
To find the surface area, you just need to find the area of each of the shapes shown and add them together.
We can find the area of one of the triangles by doing:
(base × height)/2
(6 × 4)/2 = 24/2 = 12
As there are 4 identical triangles, the area of all of them would be 12 × 4 = 48 in².
Now we need to find the area of the square in the middle, which would be 4 × 4 = 16 in².
Adding these together gives us 16 + 48 = 64 in²
I hope this helps!
The answer would be the first one, (Angle QPT is equal to 1/2 (QT -QS). You would just need to use and input in the formula that finds angle measurements based on far and near arcs.
Answer:
d=rt In this problem we are looking for the distance, but we will have to go about it indirectly. If she's traveling the same exact road going and returning, then the distance traveled both ways is exactly the same. Since d = rt, and d is the same, by the substitution property, if and , then , and . So we need to rt for the trip going, rt for the trip returning and set them equal to each other and solve for t. Going is a rate of 24, and the time is t (since we don't know t), and returning is a rate of 30, and the time is 13 1/3-t. (If the whole trip takes 13 1/3 hours, and t is the time going, then the time returning is the difference between the total time and the going time. That concept is one that baffles most algebra students!). So our r1t1 is 24t, and our r2t2 is 30(13 1/3 - t). Set them equal to each other and that will look like this: That fraction of 40/3 is 13 1/3 made into an improper fraction. Distributing that we will have and 54t = 400. That means that t = 7.407. We have time, and that's great, but we need distance! Go back to one of your equations for distance and sub in t and solve for d. d = 24t, and d = 24(7.407), so d = 177.768 miles.
