Answer:
h ≈ 9.9 cm
Step-by-step explanation:
By applying tangent rule for the given angle in the given right triangle,
tan(51°) = 
tan(51°) = 
h = 8 × tan(51°)
h = 9.879
h ≈ 9.9 cm
Therefore, measure of side 'h' is 9.9 cm.
Answer
Step-by-step explanation:
To find the area of a shape multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
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Answer:
10
Step-by-step explanation:
You are doing:
(2/5) * 25
You can do it two ways, first divide, then multiply, OR multiply, then divide.
In this case, I will multiply, then divide:
First, multiply:
(2 * 25)/5 = (50)/5
Next, divide:
50/5 = 10
10 is your answer.
~
First find the total payments
Total paid
200×30=6,000 (this is the future value)
Second use the formula of the future value of annuity ordinary to find the monthly payment.
The formula is
Fv=pmt [(1+r/k)^(n)-1)÷(r/k)]
We need to solve for pmt
PMT=Fv÷[(1+r/k)^(n)-1)÷(r/k)]
PMT monthly payment?
Fv future value 6000
R interest rate 0.09
K compounded monthly 12
N=kt=12×(30months/12months)=30
PMT=6000÷(((1+0.09÷12)^(30)
−1)÷(0.09÷12))
=179.09 (this is the monthly payment)
Now use the formula of the present value of annuity ordinary to find the amount of his loan.
The formula is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]
Pv present value or the amount of his loan?
PMT monthly payment 179.09
R interest rate 0.09
N 30
K compounded monthly 12
Pv=179.09×((1−(1+0.09÷12)^(
−30))÷(0.09÷12))
=4,795.15
The answer is 4795.15
Answer:
−2x^2 − 9x + 3
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