1,680 grams
To determine this, we can set up a proportion as follows:
grams/people=grams/people
The recipe requires 480 grams for 4 individuals and we need to find how many grams (x) are necessary for 14 individuals.
480 grams/4 people=x grams/14
480/4=x/14
Now, let's isolate x, the grams necessary for 14 people. Currently, x is divided by 14, so we will multiply both sides by 14 as multiplication is the inverse of division.
14(480/4)=(x/14)14
14(480/4)=x
14*120=x
1680=x
Thus, she requires 1,680 grams of couscous to serve 14 individuals.
Rotational symmetry indicates that an object appears unchanged when rotated.
Upon examining the figures, option B might seem plausible, but observe that the edges vary in length—rotating it will not align perfectly with its original position.
Options C and D are eliminated as they lack any symmetrical characteristics; no matter how they are turned, they appear different.
This leaves option A as the only choice: if you rotate this figure by 180 degrees, its appearance remains unchanged.
Consequently, the figure possessing rotational symmetry is A.
To determine the hypotenuse's length, we apply knowledge of trigonometric functions, specifically sine, which is defined as:
sine (theta) = length of the opposite side / length of the hypotenuse
sine 80 = 4 / hypotenuse
Therefore, Hypotenuse = 4.1 in <--- THAT'S OPTION B
First, you would divide 127 by 8 and then multiply the result by three uniforms for each employee.