Answer: The lamppost is 7 feet 2 inches
Step-by-step explanation: If Ann measured her own height and her shadow, then what she used is a ratio between both measurements. If she can measure the shadow of the lamppost, then she can use the same ratio of her height and it’s shadow to derive the correct measurement of the lamppost.
If Ann’s height was measured as 5 feet 3 inches, and her shadow was 8 feet 9 inches, the ratio between them can be expressed as 3:5.
Reduce both dimensions to the same unit, that is, inches. (Remember 12 inches = 1 foot)
Ratio = 63/105
Reduce to the least fraction
Ratio = 3/5
If the height of the lamppost is H, then
H/144 = 3/5
H = (144 x3)/5
H = 86.4
Therefore the lamppost is approximately 86 inches, that is 7 feet and 2 inches tall.
Answer:
4x² + 41x - 33
Step-by-step explanation:
- F in foil stands for 'first'; take the first value in each bracket and multiply them together. So 4x × x = 4x²
- O in foil stands for 'outside'; take the outermost values from each bracket and multiply them together. So 4x × 11 = 44x
- I in foil stands for 'inside'; take the innermost values for each bracket and multiply them together. So -3 × x = -3x
- Finally, L in foil stands for 'last'; take the last value in each bracket and multiply them together. So -3 × 11 = -33
- Now, we can put this all together and simplify: 4x² + 44x - 3x - 33 → 4x² + 41x - 33.
Hope this helps!
Answer:
x = i sqrt(14/19) or x = -i sqrt(14/19)
Step-by-step explanation:
Solve for x:
(-38 x^2 - 28)/(x^2 - 5 x - 2) = 0
Multiply both sides by x^2 - 5 x - 2:
-38 x^2 - 28 = 0
Add 28 to both sides:
-38 x^2 = 28
Divide both sides by -38:
x^2 = -14/19
Take the square root of both sides:
Answer: x = i sqrt(14/19) or x = -i sqrt(14/19)
Answer:
I think 3 Square Units
Step-by-step explanation: Because I counted how much square units high it was.
I am not sure though.
