The length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.
<h3>How to determine the parameters</h3>
To determine the angles and length of sides, we use the sine rule
The sine rule is thus:
Given;
Let's find angle C
cross multiply
0. 682 × 3. 6 = sin C × 2. 5
sin C = 2. 4552/ 2. 5
C =
C = 79°
To find length of b
substitute the values
b = 2. 59 cm
b = 3cm
To find angle B, we have
cross multiply
0. 682 × 2. 59= sin B × 2. 5
sin B = 0. 7065
B = 45°
Hence, the length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.
Learn more about sine rule here:
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Answer:
- radius: 15 ft
- diameter: 30 ft
- circumference: 30π ft
Step-by-step explanation:
The area is given in terms of the radius as ...
A = πr^2
so we can find the radius as ...
r = √(A/π)
For your circle, the radius is ...
r = √(225π ft^2/π) = 15 ft
The diameter is twice the radius, so is ...
d = 2r = 2·15 ft = 30 ft
And the circumference is π times the diameter:
C = πd = π·30 ft = 30π ft
Answer:
Step-by-step explanation:
To prove Δ ABC similar to ΔDBE we can consider
Segments AC and DE are parallel.
⇒ DE intersects AB and BC in same ratio.
AB is a transversal line passing AC and DE.
⇒∠BAC=∠BDE [corresponding angles]
Angle B is congruent to itself due to the reflexive property.
All of them are telling a relation of parts of ΔABC to ΔDBE.
The only option which is not used to prove that ΔABC is similar to ΔDBE is the first option ,"The sum of angles A and B are supplementary to angle C".
Width = W
Length = 2 times the width plus 3 feet = 2W + 3
Area of triangle A = L * W
A = W (2W + 3)
20 = 2W^2 + 3W
2W^2 + 3W - 20 = 0
(W + 4) (2W - 5) = 0
W + 4 = 0; W = - 4 (width cannot be negative, excluded)
2W - 5 = 0
2W = 5
W = 2.5
L = 2W + 3 = 2(2.5) + 3 = 8
Answer:
Width = 2.5 feet and Length = 8 feet
Hope it helps.