<span>s = -16t^2 + 88t + 5
Time to reach the maximum height = 88/32
= 2.75 seconds
Maximum height = -16(2.75)^2 + 88 (2.75) +5
= -121 + 242 + 5
= 126 Feet
Range: 5<y<44</span>
Answer:
35.6 m
Step-by-step explanation:
Number of revolutions = 40
Length of thread = 0.89 m
Total Distance = Number of revolutions * Length of Thread
Total Distance = 40 * 0.89 = 35.6 m
Answer:
a² + b² = 15² = 225
P = 2a + 2b = 2(a + b) = 38
P² = 4(a + b)² = 38²
4(a² + 2ab + b²) = 1444
Substitute a² + b² with 225
4(2ab + 225) = 1444
2ab + 225 = 361
2ab = 136
ab = 68 cm²
Answer:
The surface area is 
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}(b)(l)]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28l%29%5D)
where
-----> the slant height
substitute the values
![SA=10^{2}+4[\frac{1}{2}(10)(14)]](https://tex.z-dn.net/?f=SA%3D10%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%2810%29%2814%29%5D)
Answer:
a. standard deviation
Step-by-step explanation:
Dispersion is a measure of variability in a given data i.e the level or extent of spread of a data. This can easily be measured for a random variable by considering its standard deviation.
The standard deviation would show the extent to which each value is different from the mean. Thus showing the extent of the dispersion of variables.
Therefore, to measure the dispersion of a random variable, look at its standard deviation.
