I can’t understand why everyone complicates this question. It can be easily solved by similar triangles.
In this png, we have something to make sure.
∠B=∠DAB
∠
B
=
∠
D
A
B
(Yes, dab)
This also means AD=BD
A
D
=
B
D
.
This is our basic construction of D, which is going to help us.
∠ADC=∠DAB+∠B=2∠B=∠CAB
∠
A
D
C
=
∠
D
A
B
+
∠
B
=
2
∠
B
=
∠
C
A
B
∠CAD=∠CAB−∠DAB=∠B
∠
C
A
D
=
∠
C
A
B
−
∠
D
A
B
=
∠
B
These are based on the fact that ∠A=2×∠B
∠
A
=
2
×
∠
B
Actually these conditions suffice. Because I am just proving that △ACD∼△BCA
△
A
C
D
∼
△
B
C
A
Similarity makes us realize the following:
ACBC=ADAB
A
C
B
C
=
A
D
A
B
and
ACBC=CDAC
A
C
B
C
=
C
D
A
C
So
AC×AB=BC×AD
A
C
×
A
B
=
B
C
×
A
D
and
AC2=BC×CD
A
C
2
=
B
C
×
C
D
So
BC2=BC×(BD+CD)=BC×(AD+CD)
B
C
2
=
B
C
×
(
B
D
+
C
D
)
=
B
C
×
(
A
D
+
C
D
)
=AC×AB+AC2
=
A
C
×
A
B
+
A
C
2
Q.E.D.
2.4k Views ·
Answer: -2/3
-1/15 + (-3/5)
-1/15 - 3/5
-3/5 = -9/15
-1/15 - 9/15
-10/15
-2/3
Answer:
100.48 feet
Step-by-step explanation:
The circumfrence of a circle is represented in the equation C=2\pi r^{2}
So we input the values into the equation C=2(3.14)(4)^2 which when entered into a calculator gives you 100.48feet
Answer:
Barbados won the Bronze.
Step-by-step explanation:
The information indicates that Jamaica finished before Barbados, but behind Trinidad which means that Trinidad was the first one, then Jamaica and the third one was Barbados:
1. Trinidad
2. Jamaica
3. Barbados
Then, it indicates that Haiti finished before Guyana, but behind Barbados which indicates that Haiti was in 4th place after Barbados and the last one was Guyana:
1. Trinidad
2. Jamaica
3. Barbados
4. Haiti
5.Guyana
According to this, the answer is that Barbados won the Bronze.
Answer:
44.94
Step-by-step explanation:
Use trigonometric ratios to find the unknown side.
Since you are given the adjacent side and the opposite side is in question, use the tangent ratio.
tan(x) = opposite/adjacent
Replace the variables with given values.
tan(59) = x/27
Isolate the variable.
27tan(59) = x
Use a calculator to evaluate the answer.
x = 27tan(59) ≈ 44.94
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