Answer:1968ft^2
Step-by-step explanation:
Perimeter(p)=178feet
P=2L+2w
178=2L+2w
178=2(L+w)
L+w=178 ➗ 2
L+w=89.............(1)
W+7=L
L-w=7...................(11)
L+w=89... ..........(1)
L-w=7...................(11)
Subtract (11) from (1)
2w=89-7
2w=82
w=82 ➗ 2
w=41 width=41feet
Substitute w=41 in (11)
L-w=7
L-41=7
L=7+41
L=48feet
Area= length x width
Area=48 x 41
Area=1968ft^2
The answer to the question
Answer: 310.3° or 5.41 radians.
Step-by-step explanation:
The area of a circle of radius R is calculated as:
A = pi*R^2
Now, if we have a sector of an angle θ degrees, the area of that sector is:
A = (θ/360°)*pi*R^2
In this case, we know that:
R = 15yd
And the area of the sector is 609 yd^2
Then we can replace these two values in the equation to get:
609yd^2 =(θ/360°)*3.14*(15yd)^2
(609yd^2)*360°/(3.14*(15yd)^2) = θ = 310.3°
And we want the angle also in radians.
We know that:
3.14 rad = 180°
(3.14 rad/180°) = 1
Then:
310.3° = 310.3°*(3.14 rad/180°) = (310.3°/180°)*3.14 rad = 5.41 radians.
Answer:
the hypothesis is that the animal is a poodle. the conclusion is that since poodles are of the canine family, it would be a dog.
