3 next number in the given pattern: 3.5 , 13, 41.5, 127,
_______, _________, ________
<span>We have the first 4 given pattern, next is to find the next
3 consecutive numbers:
x = numbers we’re looking
g =given numbers
=> 3.5g + x = 13
=> 13g + x = 41.5
=> 41.5g + x = 127
Now, let’s remove the decimals, multiply by 2
=> 2(3.5) + 2x = 2(13)
=> 7 + 2x = 26
=> 2 (13) + 2x = 2(41.5)
=> 26 + 2x = 83
=> 2(41.5) + 2x = 2(127)
=>83 + 2x = 247
Now, we already have whole numbers. Next is to solve the value of x’s and g’s
2x = 26-7
26 + 26 = 7 = 83
19 + 26 = 83
19 = 57
g = 3
2x = 26 -7
2x = 26 – 7 (3)
2x = 26 – 21
2x = 5
x = 2.5
Now, let’s find the next 3 consecutive numbers
=> 127 (3) + 2.5 = 383.5
=> 383.5 (3) + 2.5 = 1153
=> 1153 (3) + 2.5 = 3461.5
The next 3 numbers are 383.5, 1153, 3461.5</span>
Answer:
2,592 square cm.
Step-by-step explanation:
It is given that the dimensions of rectangle A are four times the dimensions of rectangle B.
Let dimensions of rectangle B are l×b.
So, the dimensions of rectangle A are 4l×4b.
Area of rectangle is
Area of rectangle B is
The area of rectangle B is 162 square cm.
Area of rectangle A is
Therefore, the area of rectangle A is 2,592 square cm.
Answer:
Step-by-step explanation:
There are two case I used, since we are not give diagram, so I assumed that U can be the right angle and also assume that W can be the right angle so, I used both assumption to solve, check attachment
1. Using Trigonometry
Assuming that U is the right angle
Tan θ = opp / adj
Tan 60 = UW / UV
Tan 60 = UW / 18
UW = 18 × Tan60
UW = 18 × √3
UW = 18√3
UW = 31.18 unit
Also, assume that W is right angle
Using trigonometry
Sinθ = opp / hyp
Sin60 = UW / UV
Sin60 = UW / 18
UW = 18 × sin60
UW = 18 × √3/2
UW = 9√3
UW = 15.59 unit
Is there a picture there it would be more helpful but anyways you just subtract them two so 10cm minus 26.... Y=-16 THX for the question