Answer:
hi
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.
Angles PDA and ADR are complementary.
Angles ODU and UDR are complementary.
Angles ADR and UDR are given as congruent.
We can conclude that angles PDA and ODU are congruent.
By AA Similarity, triangles APD and UMD are similar.
DP/DM = PA/MU
3.75/10 = 4.5/MU
3.75MU = 10 × 4.5
MU = 12 (altitude of triangle DUO)
OD = OM + MD = 4 + 10 = 14 (base of triangle DUO)
area = base × height / 2
area = 14 × 12 / 2
area = 84
Answer:
33pi
Step-by-step explanation:
11pi/6 is almost 2pi, the entire circle
the entire circle's area = pi(r)^2 = pi(6)^2 = pi(36) = 36pi
But the sector with angle 11pi/6 is 11/12 th's of a circle's area
11/12 x 36pi = 33pi = area of the sector
33pi = 33(3.14159) = 103.67 = Area rounded to 2 decimal places
If you wanted to know the part of the circumference subtended by the angle, the formula is just the angle times the radius or 11pi/6 x 6 = 11pi had it been 12pi/6 or 2pi, the circumference would have been pid or pi times the diameter, 12pi. 11pi is almost all of the circumference.
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Answer:
If we substitute a and b to equal 6 for example
it would be
√
6
2
+
6
2
it would equal 8.5(1.d.p) as it would be written as
√
36
+
36
giving a standard form as
√
72
However if it was
√
6
2
+
√
6
2
it would equal 12 as the
√
and
^
2
would cancel out to give the equation 6+6
Therefore
√
a
2
+
b
2
cannot be simplified unless given a substitution for a and b.
I hope this isn't too confusing.
Step-by-step explanation: