Answer:
m = 54
Step-by-step explanation:
The secant- secant angle 20° is half the difference of the intercepted arcs, that is
(160 - 2m - 12) = 20° ( multiply both sides by 2 to clear the fraction )
- 2m + 148 = 40° ( subtract 148 from both sides )
- 2m = - 108 ( divide both sides by - 2 )
m = 54
Check the picture below.
so.. notice, the box for the gift is really just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.
the front and back are two 5x3 rectangles
the left and right are just two 3x7 rectangles
and the top and bottom are just two 5x7 rectangles
so, just get the area of each, sum them up, and that's the area of the rectangular prism and thus of the box, and that's how many in² she will need.
Answer:
807.8 in^2
Step-by-step explanation:
The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:
The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...
(18 in)(35.6 in) = 640.8 in^2
The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...
(9.6 in)(8.7 in) = 83.52 in^2
Then the total area is the lateral area plus the area of the two ends:
640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2
Answer:
No. They are not in proportion
Step-by-step explanation:
![\sf \dfrac{4}{5} \ \text{is in the simplest form}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B4%7D%7B5%7D%20%5C%20%5Ctext%7Bis%20in%20the%20simplest%20form%7D)
![\sf \text{Simplest form of $\dfrac{12}{20}$} = \dfrac{12 \div 4}{20 \div 4}=\dfrac{3}{5}](https://tex.z-dn.net/?f=%5Csf%20%5Ctext%7BSimplest%20form%20of%20%24%5Cdfrac%7B12%7D%7B20%7D%24%7D%20%3D%20%5Cdfrac%7B12%20%5Cdiv%204%7D%7B20%20%5Cdiv%204%7D%3D%5Cdfrac%7B3%7D%7B5%7D)
So, they are not in proportion
Answer:
Hard questions
Step-by-step explanation: