Answer:
10 seconds
Step-by-step explanation:
mark two points on the line the use the slope rule to calculate it you'll find it's -5 m/s
The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.
Examples:
is autonomous
is *not* autonomous
Answer:
d. 944 mm^3
Step-by-step explanation:
The area of a circle is given by ...
A = πr² . . . . . where r is the radius, half the diameter
The area of a circle with diameter 9 mm is ...
A = π(4.5 mm)² = 20.25π mm²
The area of the semi-circular end of the prism is half this value, or ...
semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²
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The area of the rectangular portion of the end of the prism is the product of its width and height:
A = wh = (9 mm)(6 mm) = 54 mm²
Then the base area of the prism is ...
base area = rectangle area + semicircle area
= (54 mm²) +(31.809 mm²) = 85.809 mm²
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This base area multiplied by the 11 mm length of the prism gives its volume:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the composite figure is about 944 mm³.
Answer:
47.1 cm
Step-by-step explanation:
<u>The formula for finding circumference is πd. So, plug in the given values and simplify the expression:</u>
d = 15
π = 3.14
15 × 3.14 = 47.1
<u>The circumference of a circle with a diameter of 15 cm and using 3.14 as a substitute for π will be </u><u>47.1 cm</u><u>.</u>
Answer:
27/125
Step-by-step explanation:
3/5 × 3/5 × 3/5
3×3×3 =27
5×5×5= 125
=27/125
