Answer:
- The shaded region is 9.83 cm²
Step-by-step explanation:
<em>Refer to attached diagram with added details.</em>
<h2>Given </h2>
Circle O with:
- OA = OB = OD - radius
- OC = OD = 2 cm
<h2>To find</h2>
<h2>Solution</h2>
Since r = OC + CD, the radius is 4 cm.
Consider right triangles OAC or OBC:
- They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.
Recall the property of 30°x60°x90° triangle:
- a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.
It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.
In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.
Area of <u>sector:</u>
- A = π(θ/360)r², where θ- central angle,
- A = π*((mAOC + mBOC)/360)*r²,
- A = π*((60 + 60)/360))(4²) = 16.76 cm².
Area of<u> triangle AO</u>B:
- A = (1/2)*OC*(AC + BC), AC = BC = OC√3 according to the property of 30x60x90 triangle.
- A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²
The shaded area is:
- A = 16.76 - 6.93 = 9.83 cm²
Step-by-step explanation:
f×0.2 = 182 ft²
20% is a factor 0.2, as it is 20 of 100.
Your answer for rounding 2.8497 x 10^3 is correct: 2.85 x 10^3.
350.0 is not correct because it has 4 sig figs. The proper rounding would be simply 350. with not additional zeros.
Remember, parenthaees are like < and > and brackets ar like ≤ and ≥
domain is how far the x values go
x is left to right
we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain
range
highest to lowest y value
range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]
Domain=[-3,5)
Range=[-1,3]
B. read above and understand it
Answer:
choice. c.) (5, 1/2)
Step-by-step explanation:
(5, 4) and (5, -3)
Use midpoint formula ( (a + x)/2 , (b + y)/2) for (a,b), (x,y)
midpoint = ( (5+5)/2, (4+- 3)/2) = (5, 1/2)