Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?
1 answer:
Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) =
By applying tangent rule in the given right triangle BOC,
tan(60°) =
OC = BO(√3)
OA + OC = AC
2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) =
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
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Answer:
The base is:
Step-by-step explanation:
Given
Required
The base
Expand 108
Rewrite the exponent as:
Expand
Rewrite as:
An exponential function has the following form:
Where
By comparison:
So, the base is:
Answer:
f(0)=0,
f(-2)=-f(2)
Step-by-step explanation:
f(x+2)=f(x)+f(2)
1. x=0
f(0+2)=f(0)+f(2)
f(2)=f(0)+f(2)
f(0)=f(2)-f(2)=0
f(0)=0
2. x=-2
f(-2+2)=f(-2)+f(2)
f(0)=f(-2)+f(2)
f(0)=0, f(-2)+f(2)=0
f(-2)=-f(2)
Answer:
1. x=36
2. x=16
3. x=107
4. x= 4
5. x=63