You would obviously only be able to create two sandwiches with the given information.
3/11 divided by 9/13 = 3/11 multiplied by 13/9 = 39/99=13/33
the scale factor used in Emily scale drawing is K = 1.63 mm/m
<h3>
What scale did Emily use?</h3>
We know that Emily drew a scale drawing of a house and its lot.
In the scale drawing, the back patio is 42 millimeters long, and we know that the actual patio is 27 meters long.
Then the scale relates the measures 44mm and 27 meters, such that if the scale is K, we can write:
K*27m = 44mm
Solving for K, we can write:
K = (44/27) mm/m = 1.63 mm/m
So the scale factor used in Emily's scale drawing is K = 1.63 mm/m
If you want to learn more about scale factors:
brainly.com/question/25722260
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The surface area of a cone is equal to the base plus the lateral area.
The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.
To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433
The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)
Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².