Sin(30°) =1/2 0.5
cos(30°) = (√3)/2
Note that the sin of an angle is equal to the cos of the complementary angle:
sin(60°) =cos(30°) = (√3)/2 since 30+60 = 90 (compl. angle)
The ratio (red to blue) of the perimeters of the similar triangles is 12:7
Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.
Perimeter of a triangle = s1 + s2 + s3
For the red triangle;
Perimeter of the red triangle = 12 + 12 + 12
Perimeter of the red triangle = 36
For the blue triangle:
Perimeter of the blue triangle = 7 + 7 + 7
Perimeter of the blue triangle = 21
Taking the ratio of their perimeters;
Ratio of red to blue = 36:21 = 12:7
Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7
Learn more here: brainly.com/question/15046223
The answer option which is considered to be true of analogies in supporting problem solving is: Relevant analogies usually help people solve problems, and people do spontaneously think of relevant analogies.
An analogy can be defined as a process through which a situation is compared with another for the purpose of clarity or explanation. Thus, an analogy can be used to explain and illustrate the relationship that exist between two or more things.
In the problem-solving process, an analogy uses relevant or similar situations to proffer a solution to a problem since there exist a relationship between the two circumstances.
In conclusion, relevant analogies usually help people in proffering solution to problems.
Read more on analogy here: brainly.com/question/15069997
Answer:
D
Explanation:
Our answer choices are:
- A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degrees Celsius.
- A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
- A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
Let's try the first one. We can just choose any temperature and then use the number 1 larger than it; let's do F = 10:
C = (5/9) * (10 - 32) = (5/9) * (-22) ≈ -12.2
When F = 10 + 1 = 11:
C = (5/9) * (11 - 32) = (5/9) * (-21) ≈ -11.7
We see that indeed, -11.7 - (-12.2) ≈ 0.56 ≈ 5/9, so the first is correct.
For the second, let's see what happens when C = 10 and when C = 11:
10 = (5/9) * (F - 32)
F = 50
11 = (5/9) * (F - 32)
F = 51.8
Again we see that indeed 51.8 - 50 = 1.8
So, the second choice is also correct.
Thus, the answer is D.
Where is the answer choices? if i saw answwr choices i could assist you.
