Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm
Answer:
x = 11 | Scale factor = 2
Step-by-step explanation:
As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.
Hope this helps,
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Happy Holidays to everyone!
Answer: d
Step-by-step explanation:
Find the area of the rectangle.
Find the area of the base of the semicircle.
12 in would be the diameter, divide by 2 to get the radius.
Plug this into the formula.
Since we do not have a full circle but a semi one instead, we must divide our result by 2.
Add both areas.
180+56.52=236.52
Answer:
I'd say x is 15-16
it's only a bit larger than the 10
