Answer:
61%
Step-by-step explanation:
Area of square:
=a²
=12²
=144
Area of two quarter circles:
=2(¼×π×r²)
=2(¼×π×6²)
=2×28.72
=56.55
Finding the percentage:
=(56. 55÷144)×100
=0.3937×100
=39.27
<u>subtract</u><u> </u><u>100</u><u>%</u><u> </u><u>by</u><u> </u><u>39.27</u><u>%</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>the</u><u> </u><u>percentage</u><u> </u><u>of</u><u> </u><u>how</u><u> </u><u>much</u><u> </u><u>is</u><u> </u><u>shaded</u>
<u>=</u><u>100-39.27</u>
=60.73
=61 (rounded off to the nearest whole percent)
First angle = x
Second angle = x - 42
Sum both complementary angles = 90
x+x-42=90
2x=132
x=66⁰ - First angle
x-42=66-42=24
24⁰ - Second angle
Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0
(x+4)(x-2)=0
x=-4, x=2
Plug the values of x in to either equation
y=-3(-4)+5
y= 12+5
y=17
y= -3(2)+5
y=-6+5
y=-1
Final answer: (-4,17) and (2,-1)
pH = f(x) = -log₁₀x
1. Graphs
I used Excel to calculate the pH values and draw the graphs (see the Figure).
f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.
The points at which pH = 0 and pH = 1 are indicated by the large red dots.
2. x = 0.5
When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.
3. Transformations
(a) ƒ(x) = -log(x) + 1
This function has no y-intercept, because log(0) is undefined.
(b) ƒ(x +1) = -log(x + 1)
f(0) = -log(0 + 1) = -log(1) = 0
This function has a y-intercept at (0,0).
hope this helps please mark me brainliest!