(3/4)∗π∗62=27π
Also , the goat can reach around the corners by 2 on the short sides and 1 on long side.creating 2 90 degree sectors of additional grazing area.(1/4)∗π∗22=π
(1/4)∗π∗12=π/4
27π+π+π/4=28.25π
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
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(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
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(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
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Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
For the answer to the question above, when you carry your jewelry box or your phone 3 floors down
and 2 miles to the left, the angles and side lengths don't change,
and it still looks exactly the same as it did before you picked it up
and moved it.
Translation can't change angles or lengths. And if those don't
change, then the later shape is congruent to the earlier shape.
Answer:
The solution x=1.25 represents the cost of snacks per day.
Step-by-step explanation:
Answer:
31.5
Step-by-step explanation:
We can add the areas together
We have a rectangle and a triangle
The area of the rectangle is
A = lw
= 7*3
= 21
The area of the triangle is
A = 1/2 bh
= 1/2 (7)*3
= 21/2
= 10.5
Add them together
A = 21 + 10.5
=31.5
