In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
Answer:
see explanation
Step-by-step explanation:
The largest angle is opposite the largest side and the smallest angle is opposite the shortest side.
Δ FUN
largest angle is ∠ FUN ( opposite FN )
smallest angle is ∠ NFU ( opposite NU )
Δ GEO
largest angle is ∠ GEO ( opposite GO )
smallest angle is ∠ GOE ( opposite GE )
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The longest side is opposite the largest angle and the shortest side is opposite the smallest angle.
∠ RTY = 180° - (70 + 55)° = 180° - 125° = 55°
Δ TRY is therefore isosceles with 2 congruent legs RT, RY
longest side is TY ( opposite 70° )
shortest sides are RT , RY ( opposite 55° )
Answer:
46 questions correct
Step-by-step explanation:
- 100% = 50 questions
- 2% = 1 question
- 92% = 46 questions
Answer:
LCM of 42 and 63 is 126.
Step-by-step explanation:
Find the prime factorization of 42
42 = 2 × 3 × 7Find the prime factorization of 63
63 = 3 × 3 × 7Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 3 × 3 × 7LCM = 126
