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kotykmax [81]
3 years ago
12

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

Mathematics
2 answers:
Goshia [24]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Using the Sine Rule in ΔABC

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

∠C = 180° - (82 + 58)° = 180° - 140° = 40°

Completing values in the above formula gives

\frac{a}{sin58} = \frac{b}{sin82} = \frac{8.4}{sin40}

We require a pair of ratios which contain b and 3 known quantities, that is

\frac{b}{sin82} = \frac{8.4}{sin40}

OR

\frac{sin40}{8.4} = \frac{sin82}{b} → B

Zepler [3.9K]3 years ago
4 0

Answer:

B!

Step-by-step explanation:

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12

Step-by-step explanation:

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-5x + 4 = 2x + 16<br> How do I solve this
Cloud [144]
Subtract 2x from both sides then you’d have -7x+4=16 Then you subtract 4 from both sides and you’d get -7x=12. Next you divide both side by -7 so x=1.75 rounded to the nearest hundredth.
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3 years ago
Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years
Arte-miy333 [17]

Answer: $13,846.02

Step-by-step explanation:

The car cost $29,750 when it was first bought.

It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.

To find the value of the car in the 6th year, you can use the compound interest formula:

= Value of car * ( 1 - rate) ^ no. of years

= 29,750 * ( 1 - 12%)⁶

= ‭13,816.021581824‬

= $13,846.02

6 0
3 years ago
Which equation is equivalent to 2(3x-5)=5-2(1-x)
aniked [119]

Answer:

6(x-10)=5-2(1-x)

Step-by-step explanation:

I divided by 3 the parenthesis, and multiplied by 3 the first number, which makes an equivalent equation.

7 0
3 years ago
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressio
KIM [24]

Answer:

Therefore x=9

Step-by-step explanation:

Give that,

log x+ log (x-3) = log 54

log x(x-3) =log 54             [    log_ca+log_c b=log_c(ab)   ]

x(x-3) = 54

Now expand the above equation to get a quadratic equation

x²-3x=54

⇒x²-9x+6x-54=0

⇒x(x-9)+6(x-9)=0

⇒(x-9)(x+6)=0

⇒x-9=0  or, x+6=0

⇒x=9,-6

Now putting x= -6 in the given expression,

log(-6)+log(-6-9)=log 54.

Since log (-6) does not exist.

Therefore x=9

8 0
3 years ago
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