Answer: the rate at which its altitude is changing is -47 ft/s
Step-by-step explanation:
Given that;
ds/dt = 45 mph = 45 × 5280/3600 = 66 ft/sec
no we have to determine dx/dt
so
cos∅ = dx/dt / ds/dt
cos45° = dx/dt / 66
dx/dt = 0.7071 × 66
dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )
so the rate at which its altitude is changing is -47 ft/s
9514 1404 393
Answer:
10) C 4/9
11) B 24
Step-by-step explanation:
10) The area ratio is the square of the ratio of side lengths. The ratio of side lengths is ...
RS/LM = 6/9 = 2/3
Then the area ratio is ...
(2/3)² = 4/9
__
11) Using the result of question 10, the area of ∆RST is ...
(4/9)(54 in²) = 24 in²
Answer:
2 gigabytes of data
Step-by-step explanation:
Given
Amount Jason keeps per month = $68.90
Cost of flat per month = $60.50
Balance for data = 68.90-60.50
Balance for data = $8.40
If 1Gigabyte = $4
x = $8.40
Cross multiply
4x = 8.40
x = 8.40/2
x = 2.20
Hence Jason can only use 2 gigabytes of data while staying within his budget
Answer:
The lenghts of both legs: 
Step-by-step explanation:
By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.
Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of any leg of the given triangle by applying the Trigonometric Identity 
:
Finally, simplifying, we get:
