Answer:
4 inches
Step-by-step explanation:
We can set up a proportion to find out the length value (assuming x is the length of the frame)

We multiply 12 and 3...

And divide by 9...

So, the length of the frame is 4 inches.
Hope this helped!
Answer:
569
Hope I helped :D
Step-by-step explanation:
Answer:
A = 11²/{4π}
Step-by-step explanation:
The circumference equation is C = 2πr. Thus, r = C / (2π), and:
C² (22π)² 2²11²π² 11²
r² = ---------- so, if C = 22π units, r² = -------------- = ---------------- = -------------
(2π)² (2π)^4 (2π)²(2π)² (2π)²
11²π²
or r² = ---------------
The area equation for a circle is A = πr² which here is π·11²/(2π)²
This reduces to 11²/{4π}
Answer:
D. 3.2
Step-by-step explanation:
Mid-segment Theorem of a triangle states that the Mid-segment in a triangle is half of the third side of the triangle.
Based on this theorem, we have: TV = ½(RS)
TV = 3n - 2
RS = n + 12
Substitute
3n - 2 = ½(n + 12)
Multiply both sides by 2
2(3n - 2) = (n + 12)
6n - 4 = n + 12
Collect like terms
6n - n = 4 + 12
5n = 16
Divide both sides by 5
5n/5 = 16/5
n = 3.2
We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches
.
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.