Answer:
Step-by-step explanation:
Triangles are similar if they have the same shape, but not necessarily the same size.
in this case we have
JK/MO = KL/ON = JL/MN
A) Use properties of similar triangles.
The measurement of angle J can be derived from triangle MNO.
Corresponding angle are congruent.
Angle J in triangle JKL correspond with angle M in triangle MNO.
Therefore:
Tangent M = opp/adj
tanM = 2/1.5
tanM = 1.3
M = tan-¹ 1.3
M = 52.43
J = M = 52.43°
B) MO in △MNO corresponds to JK in △JKL
C) JK/MO = KL/ON = JL/MN
find JL using Pythagoras theorem
JL² = KL² + JK²
JL² = 4²+3²
JL = √(16+8)
JL = 5
JK/MO = KL/ON = JL/MN
= 3/1.5 = 4/2 = 5/2.5 = 2/1
Therefore the ratio of larger triangle to small triangle is 2:1
Answer:
Hypotheses are always made by one individual or by a limited group of scientists, and are therefore subjective—based on the prior experience and processes of reason employed by those individuals, rather than solely on objective external process.
According to this view, human attitude is associated with human sciences; but as far as natural science is concerned there is no scope for any subjective elements. Scientific knowledge is purely objective, and it is an objective description of the real structure of the world.
Step-by-step explanation:
Pertaining to or characteristic of an individual; personal; individual: a subjective evaluation.
Phrase collocation :
- subjective idealism
- subjective test
- subjective brightness
Bilingual example Used as an adjective (adj.) :
- Whatever is subjective in you, is the truth.
- The answer is not easy and, in this case, it is largely subjective .
- Marxism is not true and is not science, but so what? The hermeneuticians tell us that nothing is objectively true, and therefore that all views and propositions are subjective.
- His arguments were never subjective.
- He took a subjective view of the problem.
- Grading of oral tests is quite subjective.
#43 is 3 Slices because 12 divided by 4=3
#44 lets work out a bit more. She Practiced 4 hours and 30 minutes each week. There are typically 4 weeks in a month, so we multiply 4 times 4 which is 16. But this isn't our answer because we have the extra half hour. We multiply the half hours times 4, and we have and extra 2 hours on our hands. So this means she Practiced 18 hours each month.
#46 First, You convert everything to inches.
2' 8'=24+8=32 inches.
Divide that 32 in half, and you get 16. 16 inches=16 times 12 =192.
192 over 32 =6.
So in total, 6 boards is your answer :)
Add both of the volume of dirt,
50+25
75 cubic feet of dirt
Hope this helps.