We know that
length of a sector=[∅]*r--------> when ∅ is in radians
so
∅=length of a sector/r
for r=7 ft
length of a sector=4 ft
∅=4/7-----> 0.57 radians
the answer part 1) is 0.57 radians
part 2)
area of a sector=(∅/2)*r²--------> when ∅<span> is in radians
</span>area of a sector=(4/7/2)*7²-----> (4/14)*49----> 14 ft²
the answer Part 2) is 14 ft²
Use Pythagoras theorem
25^2 = 24^2 + x^2
x^2 = 25^2 - 24^2
x^2 = 49
x = 7 feet Answer
Answer:
see explanation
Step-by-step explanation:
Since AB and BC are perpendicular, then
∠ABC = 90° and
∠ABD + ∠DBC = ∠ABC ← substitute values
3r + 5 + 5r - 27 = 90, that is
8r - 22 = 90 ( add 22 to both sides )
8r = 112 ( divide both sides by 8 )
r = 14
Hence
∠ABD = 3r + 5 = (3 × 14) + 5 = 42 + 5 = 47°
∠DBC = 5r - 27 = (5 × 14) - 27 = 70 - 27 = 43°
Answer:
D
Step-by-step explanation:
factoring out a negative
Answer: n = -5.4
Step-by-step explanation: