Answer:
The dot product of (7,5) and (-5,4) is -15
Step-by-step explanation:
Given
(7,5) and (-5,4)
Required
Determine the dot product
Dot product is calculated using the following formula;
Let a = (7,5) and b = (-5,4);
The above formula becomes
Hence, the dot product of (7,5) and (-5,4) is -15
Direct variation should be called linear variation.
In this case, the answer is B.
A has the quadratic variation, C has the inverse variation, D has the cubic variation
Volume of the cone = 1/3 π r² h
Volume of the cone = 1/3 π (300÷2)² (150) = 3, 534,291.74 m³
Answer: 3, 534,291.74 m³
Answer: 18.86 feet
Step-by-step explanation:
The formula for determining the circumference of a circle is expressed as
Circumference = πD
Where D represents the diameter of the circle.
The circumference of the inner circle is 44 ft. It means that
22/7 × D = 44
22D = 7 × 44 = 308
D = 308/22
D = 14 ft
The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be
14 + 3 + 3 = 20 ft
Circumference of the outer circle is
22/7 × 20 = 62.86 ft
The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is
62.86 - 44 = 18.86 feet
Answer:
C
Step-by-step explanation: