Answer:
Volume of square-based pyramid = 96 in³
Step-by-step explanation:
Given:
Base side of square = 6 inch
Height of pyramid = 8 inch
Find:
Volume of square-based pyramid
Computation:
Area of square base = Side x Side
Area of square base = 6 x 6
Area of square base = 36 in²
Volume of square-based pyramid = (1/3)(A)(h)
Volume of square-based pyramid = (1/3)(36)(8)
Volume of square-based pyramid = (1/3)(36)(8)
Volume of square-based pyramid = (12)(8)
Volume of square-based pyramid = 96 in³
The ball takes approximately a time of 2.041 seconds to reach its maximum height.
<h3>What time does the ball take to reach maximum height?</h3>
The height of the ball as a function of time is modelled by a <em>quadratic</em> equation, the required information can be found by transforming the expression into <em>vertex</em> form:
h = - 4.9 · t² + 20 · t + 12
h = - 4.9 · (t² - 4.082 · t - 2.449)
h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)
h - 32.414 = - 4.9 · (t - 2.041)²
The ball takes approximately a time of 2.041 seconds to reach its maximum height.
To learn more on quadratic equations: brainly.com/question/1863222
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Answer: x=-4
Step-by-step explanation:
1. Simplify:
-(x-1)=5 => -x+1=5
Isolate x:
-x=5-1 => -x=4 => x=-4
Answer:
lower 95% Cl is 0.292
Step-by-step explanation:
p^ = 0.4783
n = 23
for 95% Cl,
z = 1.9600
Inputting all the available data into P as attached below
LCL = 0.292
UCL = 0.670
therefore, lower 95% Cl = 0.292
Answer:
24 sides
Step-by-step explanation:
a polygon cannot have a decimal number of sides, it is impossible
since the sum of these exterior angles in a regular polygon must equal 360 degrees. The maximum number of sides that would yield exterior angles that are integers is 360
because 360 ÷ 360 = 1.