Adam has a greater rate of change, as seen by the larger slope. This means Adam is traveling faster than Katia.
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Answer:
5.1 cm²
Step-by-step explanation:
The area of a segment is given by the formula ...
A = 1/2r²(α -sin(α)) . . . . . where α is the central angle in radians
For this segment, its area is ...
A = 1/2(6 cm)²(7π/18 -sin(70°)) ≈ 5.077 cm²
The area of the segment is about 5.1 square centimeters.
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The angle is converted to radians by multiplying by π/180°. Then a 70° angle is π(70°/180°) = 7π/18 radians.
Answer:
The lengths of the sides are 15 cm , 17 cm and 19 cm.
Step-by-step explanation:
Step 1. Perimeter P means adding up all three sides.
Step 2. Let n be an odd integer.
Step 3. Let n+2 and n+4 be the next two consecutive odd integers.
Step 4. Then P=n+n+2+n+4=51.
Step 5. Solving the equation Step 4 yields the following steps
3n%2B6=51
Subtract 6 from both sides of the equation
3n%2B6-6=51-6
3n=45
Divide 45 to both sides of the equation
3n%2F3=45%2F3
n=15 Then n%2B2=17 and n%2B4=19. Also, P=15+17+19=51 which is a true statement.
Step 6. ANSWER: The lengths of the sides are 15 cm , 17 cm and 19 cm.
Answer: There are 3 strips that can be cut from the roll of ribbon.
Step-by-step explanation:
since we have given that
Length of a ribbon is given by
Length of pieces of ribbon cut into strips is given by
So, we need to find the number of strips that can be cut is given by
Hence, there are 3 strips that can be cut from the roll of ribbon.
