Answer:
My answer is 7.2 km
Explanation:
When Stephen goes to the south and then to the east, he is drawing a right triangle, where the 4 km and 6 km sides are the cathetus of a right triangle.
Then we use the Pithagorean theorem to solve this problem. We need to find the hypotenuse.
c² = a² + b²
c² = 4² + 6²
c² = 16 + 36
c² = 52
c = 7.2 km
Answer:
c. The temperature at which a glass transforms from a solid to liquid.
Explanation:
The glass transition temperature is said to be a temperature range when a polymer structure transition from a glass or hardy(solid) material to a rubber like or viscous liquid material.
The glass transition temperature is an important property that is critical in product design.
Answer:
v = 9.936 m/s
Explanation:
given,
height of cliff = 40 m
speed of sound = 343 m/s
assuming that time to reach the sound to the player = 3 s
now,
time taken to fall of ball
![t = \sqrt{\dfrac{2s}{g}}](https://tex.z-dn.net/?f=t%20%3D%20%5Csqrt%7B%5Cdfrac%7B2s%7D%7Bg%7D%7D)
![t = \sqrt{\dfrac{2\times 40}{9.8}}](https://tex.z-dn.net/?f=t%20%3D%20%5Csqrt%7B%5Cdfrac%7B2%5Ctimes%2040%7D%7B9.8%7D%7D)
t = 2.857 s
distance
d = v x t
d = v x 2.875
time traveled by the sound before reaching the player
![t_0 = t - t_{fall}](https://tex.z-dn.net/?f=t_0%20%3D%20t%20-%20t_%7Bfall%7D)
![t_0 = 3 - 2.875](https://tex.z-dn.net/?f=t_0%20%3D%203%20-%202.875)
![t_0 = 0.143 s](https://tex.z-dn.net/?f=t_0%20%3D%200.143%20s)
distance traveled by the wave in this time'
r = 0.143 x 343
r= 49.05 m
now,
we know.
d² + h² = r²
d² + 40² = 49.05²
d =28.387 m
v x 2.875=28.387 m
v = 9.936 m/s
Answer:
0.43 m
Explanation:
Angle of incident and angle of reflection is same.
tan Θh = L' / x (eye)
L' = Length of the window
x (eye) = Distance of the mirror from the eye
tan Θh = L / (x (eye) + xw)
xw = Distance of the mirror from the window
L'/ x (eye) = L / ( x (eye) + xw)
L' = L*x (eye) / ( x (eye) + xw)
L' = (2*0.5) / (0.5 + 1.8)
L' = 0.43 m
Answer:
Your friend is 2.143 blocks from the restaurant.
You are 2.857 blocks from the restaurant.
Explanation:
Let t be the time both you and your friend take to walk to the restaurant.
The distance (m) from your building to the restaurant is your walking time t times your speed v1
![s_1 = v_1t = 1.6t](https://tex.z-dn.net/?f=s_1%20%3D%20v_1t%20%3D%201.6t)
Similarly the distance (m) from your friend building to the restaurant:
![s_2 = v_2t = 1.2t](https://tex.z-dn.net/?f=s_2%20%3D%20v_2t%20%3D%201.2t)
Let b be the length (in m) of a block, the total distance of 5 blocks is 5b
![s_1 + s_2 = 5b](https://tex.z-dn.net/?f=s_1%20%2B%20s_2%20%3D%205b)
![1.6t + 1.2t = 5b](https://tex.z-dn.net/?f=1.6t%20%2B%201.2t%20%3D%205b)
![2.8t = 5b](https://tex.z-dn.net/?f=2.8t%20%3D%205b)
![t = 5b/2.8 = 25b/14](https://tex.z-dn.net/?f=t%20%3D%205b%2F2.8%20%3D%2025b%2F14)
![s_2 = 1.2t = 1.2(25b/14) = 2.143b](https://tex.z-dn.net/?f=s_2%20%3D%201.2t%20%3D%201.2%2825b%2F14%29%20%3D%202.143b)
So your friend are 2.143b meters from the restaurant, since each block is b meters long, 2.143b meters would equals to 2.143b/b = 2.143 blocks. And you are 5 - 2.143 = 2.857 blocks from the restaurant.