Total 27inch^
Calculation of 1 rectangle +1 triangle(11-7=4 is the base)
triangle x^+4^=5^
x^+16=25
x^=9
x=3 (height=3)
Sides of triangle Base=4 Hypotenuse=5 height =3
area 1/2 4 x 3 =2x3=6
Area triangle =6
Area Rectanglel 7x3=21
21+6=27 inch^ total area
Answer:
x=1 or -1/2
Step-by-step explanation:
The value of x is 1 or -1/2
Answer:
Step-by-step explanation:
-The margin of error is calculated using the formula:
-We substitute the values, n=900 and ME=30 in the formula to solve for standard deviation:
Hence, the population standard deviation is 547.1125
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
