1)
area of half of the circle: 628.32
are of parallelogram: 4000
Exact area of shaded: 3,371.68 cm squared.
The answer to the equation under the shape is: A = 4000 - 628.32 π in²
2)
area of both circles added together: 173.18
full area of rectangle: 220.5
Exact area of shaded: 47.32
The answer to the equation under the shape is: A = 220.5 - 173.18 π in²
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C. 0<p<3 is the answer (at most)
Hope dis helped :)
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
=
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
=
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Answer:
d
Step-by-step explanation:
The student subtracted each side by 28, which is wrong because if u want to cancel -28, you need to add 28 to both sides. The correct answer is 403.
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