Answer:
The scale factor of the drawing is 7/1 or 7 millimeters for every 1 meter (7/1).
Step-by-step explanation:
Answer: B. 2 inch
Step-by-step explanation:
Let x represent the uniform width of the frame.
The original dimensions of the picture is 5 in x 7 in. This means that the new width of the picture together with the frame is (5 + 2x) in and the new length of the picture together with the frame is (7 + 2x) in.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the picture and the frame together is 99 in2. Therefore,
(5 + 2x)(7 + 2x) = 99
35 + 10x + 14x + 4x² = 99
4x² + 24x + 35 - 99 = 0
4x² + 24x - 64 = 0
Dividing through by 4, it becomes
x² + 6x - 16 = 0
x² + 8x - 2x - 16 = 0
x(x + 8) - 2(x + 8) = 0
x - 2 = 0 or x + 8 = 0
x = 2 or x = - 8
The width cannot be negative. So
x = 2 in
Try dividing 160 by 5 (not by 4). Does your answer now make sense?
To find this answer you need to find the area of the whole cake and divide it by 8. To find area of a circle, you need the formula (pi)*r^2. The radius is the diameter divided by two. Your final formula would be (pi)*8^2. This is approx. 201.06 in^2. Divide this number by 8, and you have your answer. I got 25.13 in^2.
Answer:
Current, I = 4.47 Amperes.
Step-by-step explanation:
Given the following data;
Inductance = 24H
Energy stored, Eind = 240J
To find the current;
The energy stored in an inductor is given by the formula;
Eind = ½LI²
240 = ½*24*I²
Cross-multiplying, we have;
480 = 24I²
I² = 480/24
I² = 20
Taking the square root of both sides, we have;
Current, I = 4.47 Amp
