Answer:
a. The pattern is that each month, the number of trivia questions increases by 11.
b. Month 4 will have 44 questions, month 5 will have 52 questions, and month 6 will have 63 questions.
c. 8, 19, 30, 44, 52, 63, ...
Month - Questions
1 - 8
2 - 19
3 - 30
4 - 44
5 - 52
6 - 63
(There's no great way to format a table here, so you'll have to use your imagination!)
Hello. 10x-3-2x=4 ; 10x-2x=4+3 ; 8x=7 ; x=7/8. I hope to have helped you
Answer:
=
−
5
Step-by-step explanation:
−
8
−
3
(
2
+
1
)
=
6
7
-8x{\color{#c92786}{-3(2x+1)}}=67
−8x−3(2x+1)=67
−
8
−
6
−
3
=
6
7
-8x{\color{#c92786}{-6x-3}}=67
−8x−6x−3=67
2
Combine like terms
−
8
−
6
−
3
=
6
7
{\color{#c92786}{-8x}}{\color{#c92786}{-6x}}-3=67
−8x−6x−3=67
−
1
4
−
3
=
6
7
{\color{#c92786}{-14x}}-3=67
−14x−3=67
3
Add
3
3
3
to both sides of the equation
−
1
4
−
3
=
6
7
-14x-3=67
−14x−3=67
−
1
4
−
3
+
3
=
6
7
+
3−
1
4
=
7
0
-14x=70
−14x=70
5
Divide both sides of the equation by the same term
−
1
4
=
7
0
-14x=70
−14x=70
−
1
4
−
1
4
=
7
0
−
1
4
\frac{-14x}{{\color{#c92786}{-14}}}=\frac{70}{{\color{#c92786}{-14}}}
−14−14x=−1470
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
−
5
Answer:
Option D
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that c=71, B=123°, and a=65. Plugging in the values:
b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).
Simplifying gives:
b^2 = 14293.0182932.
Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).
This means that the Option D is the correct choice!!!
Gradient of a line times the gradient of a line that is perpendicular to it is-1
M1M2=-1
2/3 times M2=-1
M2=-1 times 3/2
The gradient is =-3/2