Answer:
3:10
Step-by-step explanation:
No because the number has to be between 1 and 10 so it should be 2.6x10^3
Answer:
a1 = -4
an = an-1 * 6
Step-by-step explanation:
-4, -24, -144, -864, ...
First find the common ratio
Take the second term and divide by the first term
-24/-4 = 6
The common ratio is 6
The recursive formula is
a1 = -4
an = an-1 * 6
Answer:
Step-by-step explanation:
First we need to find the score of the incorrect answers and the questions that were not answered.
Score for the incorrect answers = 4*(-2) = -8
Score for the questions not answered = 6*(-1) = -6
Score for the questions answered correctly = 106 - [ (-8) + (-6) ]
= 106 -[-14]
= 106 + 14
= 120
Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer
= 120 ÷ 4
= 30
30 questions were answered correctly.
Step-by-step explanation:
The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.
Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180
90 + 2x + 3x = 180
90 + 5x = 180
subtract 90 from both sides to separate the x and its coefficient
5x = 90
divide both sides by 5 to separate the x
x = 18
(a) ∠CAB = 2x = 18(2) = 36
(b) ∠ABC = 3x = 18(3) = 54
(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.
