The waiter should go home. It is because it is improper with regards to food safety and pathogenic bacteria such as E.coli can contaminate the food. Though the productivity of the restaurant will decrease, food safety must come first to reduce customer complaints.
Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41
Answer: Rosa is finding the number of kilometers in a mile.
Step-by-step explanation:
According to the given information, we have:
1,760 yd=1 mi
0.914 m=1 yd
1 km=1,000 m
So, as we can see, Rosa wants to convert miles to yards, then yards to meters and finally meters to kilometers:
Then:
This is the number of kilometers in a mile.
Using Pythagorean identities:
If the sum of the height and base squared is greater than the hypotenuse squared, it would be an acute triangle.
If the sum of the height and base squared is less than the hypotenuse squared, it would be an obtuse triangle.
If the sum of the height and base squared is equal to the hypotenuse squared, it would be a right triangle.
The height = 10
The base = 24
10^2 + 24^2 = 100 + 576 = 676
The hypotenuse = 27 = 27^2 = 729
Because the sum of the height and base squared (676) is smaller than the hypotenuse squared (729) the triangle is an obtuse triangle.
