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kenny6666 [7]
3 years ago
9

Joan wants to determine the longest side of a four-sided yard where she wants to build a house. A diagonal connecting two opposi

te vertices of the site is 150 feet in length while the other diagonal has a different length. The area of the yard is 7500 sq.ft. What is the length of the longest side?
a.90
b.100
c.150
d. insuf info
e.none of the above
Mathematics
1 answer:
Rudik [331]3 years ago
6 0
I think it is D. If it is wrong correct me.
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In circle C, r = 32 units.
vlabodo [156]
Probably 2561 but since area equal r^2 I thought it would be 3217
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Which expression can be used to find the area of the square? Question 4 options: 2(6.4+6.4) 6.4² 6.4×2 2(6.4×6.4)
Nimfa-mama [501]
Option 2 => 6.4^2
Because area of a square = side *side or side^2
Hope this helps u..!!!
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3 years ago
Find AC and FB.<br> Points B, D, and F are midpoints of the sides of ACE. EC=40 and DF=18.
ANTONII [103]
The second option. A is 36 and B is 20. FD is half of AC, so 18*2 is 36. FB is half of EC, so it’s 20.
4 0
3 years ago
Read 2 more answers
Find the area of the shaded region
Alex777 [14]

∆BOC is equilateral, since both OC and OB are radii of the circle with length 4 cm. Then the angle subtended by the minor arc BC has measure 60°. (Note that OA is also a radius.) AB is a diameter of the circle, so the arc AB subtends an angle measuring 180°. This means the minor arc AC measures 120°.

Since ∆BOC is equilateral, its area is √3/4 (4 cm)² = 4√3 cm². The area of the sector containing ∆BOC is 60/360 = 1/6 the total area of the circle, or π/6 (4 cm)² = 8π/3 cm². Then the area of the shaded segment adjacent to ∆BOC is (8π/3 - 4√3) cm².

∆AOC is isosceles, with vertex angle measuring 120°, so the other two angles measure (180° - 120°)/2 = 30°. Using trigonometry, we find

\sin(30^\circ) = \dfrac{h}{4\,\rm cm} \implies h= 2\,\rm cm

where h is the length of the altitude originating from vertex O, and so

\left(\dfrac b2\right)^2 + h^2 = (4\,\mathrm{cm})^2 \implies b = 4\sqrt3 \,\rm cm

where b is the length of the base AC. Hence the area of ∆AOC is 1/2 (2 cm) (4√3 cm) = 4√3 cm². The area of the sector containing ∆AOC is 120/360 = 1/3 of the total area of the circle, or π/3 (4 cm)² = 16π/3 cm². Then the area of the other shaded segment is (16π/3 - 4√3) cm².

So, the total area of the shaded region is

(8π/3 - 4√3) + (16π/3 - 4√3) = (8π - 8√3) cm²

7 0
1 year ago
What is the length of an arc with a central angle of 54π radians and a radius of 34 cm?
zvonat [6]
The formula in solving the length of an arc is shown below:
Length of an Arc = 2pi*r (central angle/360°)
Central angle = 54pi * (180°/pi) 
r = 34 cm

Solving for an arc length"
Arc length = 2*3.14*34((54*180)/360)
Arc length = 5,765.04 cm

The answer is 5,765.04 cm.
4 0
3 years ago
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