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katrin2010 [14]
4 years ago
15

Which proportion could be used to find the length of side b?

Mathematics
1 answer:
Tanzania [10]4 years ago
6 0

Answer:

C

Step-by-step explanation:

Using the Sine rule in Δ ABC

Calculate the measure of ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31° , then

\frac{sin31}{9.3} = \frac{sin85}{b} → C

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If the probability of the first sock is red and their are 10 socks in total (same with the second sock). they should both add up to 2/20 probability chance. 
3 0
3 years ago
Someone please help
KIM [24]

Answer:

Step-by-step explanation:

Exponential function representing final amount with compound interest compounded continuously,

A=Pe^{rt}

Here, A = Final amount

P = principal amount

r = Rate of interest

t = Duration of investment

For P = $9600

r = 6%

A = 2 × 9600 = $19200

By substituting these values in the formula,

19200=9600(e)^{0.06\times t}

2=e^{0.06t}

ln(2)=ln(e^{0.06t})

ln(2) = 0.06t

t = \frac{0.693147}{0.06}

t = 11.55245

t ≈ 11.5525 years

Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.

Therefore, $960000 will get doubled in 11.5525 years.

6 0
3 years ago
Margarita is 15 years older than Silvia the sum of their ages is 41
Nimfa-mama [501]
One of them is 13 and the other is 28
3 0
3 years ago
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If f(x) = x^4-x^3+x^2 and g(x)= -x^2, where x does not = 0, what is (f/g)(x)?
Korvikt [17]

For this case we have the following functions:

f (x) = x ^ 4-x ^ 3 x ^ 2\\g (x) = - x ^ 2

By definition of composition of functions we have to:(f \ g) (x) = \frac {f (x)} {g (x)}

So:

\frac {f (x)} {g (x)} = \frac {x ^ 4-x ^ 3 x ^ 2} {- x ^ 2} = \frac {x ^ 4} {- x ^ 2} +\frac {-x ^ 3} {- x ^ 2}+ \frac {x ^ 2} {- x ^ 2} =

By definition of division of powers of the same base we have to place the same base and subtract the exponents:

\frac {f (x)} {g (x)} = - x ^ 2+x-1

ANswer:

(\frac {f} {g}) (x) = - x ^ 2 +x-1

3 0
3 years ago
Write an equation that represents the volume V as a function of the height h
erma4kov [3.2K]

Answer:

h=V/b

Step-by-step explanation:

5 0
3 years ago
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