9d - 5 = 4d + 35
9d (-4d) - 5 (+5) = 4d (-4d) + 35 (+5)
5d = 40
5d/5 = 40/5
d = 8
hope this helps
Answer: 30° and 110°
55° and 85°
70° and 70°
The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:
= 180° - 40°
= 140°
Therefore,
30° + 110° = 140°
55° + 85° = 140°
70° + 70° = 140°
Divide the 24 by Ben's 12 .
If his 12 is a factor, then the division will come out even,
and the answer will be a whole number.
A). 6 x 4 = 24
B). 5 x 9 = 45
C). 3 x 8 = 24
D). 6 x 9 = 54
Answer:
2304
Step-by-step explanation:
<u>Given :- </u>
- A geometric sequence is given to us which is 9 , -18 , 36.
And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .
<u>Common Ratio :- </u>
CR = -18÷ 9 = -2
<u>The </u><u>9</u><u> th term :- </u>
T_n = arⁿ - ¹
T_9 = 9× (-2) ⁹ - ¹
T_9 = 9 × (-2)⁸
T_9 = 9 × 256
T_9 = 2304
<u>Hence the 10th term is </u><u>2</u><u>3</u><u>0</u><u>4</u><u>.</u>
Answer:
Step-by-step explanation:
Given
Two forces of 9 and 13 lbs acts angle to each other
The resultant of the two forces is given by
Insert the values
Resultant makes an angle of
So, the resultant makes an angle of with 9 lb force
Angle made with 13 lb force is