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Paul [167]
3 years ago
14

In ΔABC, if the length of side b is 3 centimeters and the measures of ∠B and ∠C are 45° and 60°, respectively, what is the lengt

h of side c to two decimal places? 2.45 centimeters 3.67 centimeters 4.00 centimeters 5.45 centimeters
Mathematics
2 answers:
Fantom [35]3 years ago
8 0

Answer:

c=3.67\ cm

Step-by-step explanation:

we know that

Applying the law of sines

\frac{b}{sin(B)}=\frac{c}{sin(C)}

in this problem we have

b=3\ cm, B=45\°, C=60\°

substitute and solve for c

\frac{3}{sin(45\°)}=\frac{c}{sin(60\°)}

c=sin(60\°)\frac{3}{sin(45\°)}

c=3.67\ cm

Umnica [9.8K]3 years ago
3 0
Answer is 3.67 centimeters
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The last answer choice

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What characteristics of a graph tell you that it represents a proportional relationship ?
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if they are both equeal

Step-by-step explanation:

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3 years ago
125 divided by 32 equals what
andreyandreev [35.5K]
32 × 2 = 68
32 × 3 = 96
32 × 4 = 128

So far we can conclude that the answer to your question lies somewhere between the numbers 3 and 4. To narrow down the answer some more, multiply 32 by 3.5 (a midway point between 3 and 4).

32 × 3.5 = 112
The number 112 tells us that the decimal we are looking for is higher than 3.5. (Because we need to get to 125, not 112.) Let's try some decimals between 3.5 and 4.

32 × 3.7 = 118.4
32 × 3.8 = 121.6
32 × 3.9 = 124.8
32 × 4 = 128

As we narrow down our answer, we can see that the number we are looking for lies between 3.9 and 4 on the number line. Now we need to start testing some decimals between 3.9 and 4. 

32 × 3.905 = 124.96
Again, use the number five as a "midway" point to decide if you should use numbers that are higher or lower than 3.905. In this case, we need to use numbers higher than 3.905.

32 × 3.906 = 124.992
32 × 3.907 = 125.024

We are getting even closer to our number now that we know the decimal is somewhere between 3.906 and 3.907.

32 × 3.9065 = 125.008
With our midway point we can see that our number lies between 3.906 and 3.9065. Let's try a quarter point to see where our number lies from there.

32 × 3.90625 = 125
And BINGO! We have found the answer to the question. To be rephrased, our answer can be put like this:

\frac{125}{32} = 3.90625
6 0
3 years ago
Thomas invests $50,000 in an account that compounds interest continuously and earns 15%. How long will it take for his money to
WARRIOR [948]

Answer:

It will take about 7.3 years for his money to triple.

Step-by-step explanation:

Identify the variables in the formula.

A = 150,000

P = 50,000

r = 0.15

t = ?

A = Pe^rt

Substitute the values into the formula.

150,000 = 50,000e^0.15*t

Solve for t. Divide each side by 50,000.

3 = e^0.15*t

Take the natural log of each side.

ln 3 = ln e^0.15*t

Use the power property and then simplify.  

ln 3 = 0.15*t ln e

ln 3 = 0.15-t

Divide each side by 0.15.

(ln 3) /(0.15) = t

Approximate the answer.

t ≈ 7.3

4 0
3 years ago
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Please help i really need it !!!!
Vika [28.1K]
C, i think you forgot an x
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