Answer:
A
Step-by-step explanation:
Automatically if you use the intercept (where it cuts the line) which would be 3.
Answer:
2 Committees
Step-by-step explanation:
2 Committees and 3/4 of a committee
There are only 11 teachers so that means only 2 committees can be filled with 4 teachers if that is the max amount per committee.
There are more than enough students so no need to worry on them.
11 divided by 4 = 2.75
Answer:
5·7
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
5×7 = 35
Both 5 and 7 are prime numbers, so that is the prime factorization.
Answer:
• c = √89 ≈ 9.434
• A = arcsin(8/√89) ≈ 57.995°
• B = arcsin(5/√89) ≈ 32.005°
Step-by-step explanation:
By the law of cosines, ...
c² = a² + b² -2ab·cos(C)
Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.
c = √(8² +5²) = √89 ≈ 9.434
Then by the law of sines (or the definition of the sine of an angle), ...
sin(A) = a/c·sin(C) = a/c = 8/√89
A = arcsin(8/√89) ≈ 57.995°
sin(B) = b/c·sin(C) = b/c = 5/√89
B = arcsin(5/√89) ≈ 32.005°
Since the big triangle is an isosceles one, we conclude that the angles of the left triangle are: 32, 90 and 3x-10. Sinche the sum of this angles have to be 180° we have:
Solving for x, we have:
Therefore, x=22.67 and the answer is A.
