Greetings from Brasil...
Let's apply the given formula:
A = (1/2)·B·H
The base of this polygon (in this case, the triangle) is B
B = X² - 2X + 6
The height of this polygon is H and is H
H = X + 4
Applying these values (B and H) in the given formula.....
A = (1/2)·B·H
A = (1/2)·(X² - 2X + 6)·(X + 4)
A = (1/2)·(X³ + 2X² - 2X + 24)
A = (X³/2) + X² - X + 12
OR
A = (X³ + 2X² - 2X + 24)/2
Hello from MrBillDoesMath!
Answer:
40
Discussion:
A diagram is always appreciated!
Assuming that
mAOC = mAOB + mBOC =>
108 = (3x + 4) + (8x - 28) => combine common terms
108 = (3x + 8x) + (4 - 28 ) =>
108 = 11x - 24 => add 24 to both sides
132 = 11x =>
x = 132/11 = 12
So mAOB = 3x + 4 = 3(12) + 4 = 36 + 4 = 40
Thank you,
MrB
Step-by-step explanation:
The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?
A. 4 cm and 5cm
B 5cm and 6 cm
C. 6 cm and 7 cm
D. 7 cm and 8 cm
ans.C
The answer to this question is
. Hope this helps.
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>
