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tester [92]
3 years ago
14

Find the value of b rounded to the nearest tenth

Mathematics
1 answer:
vekshin13 years ago
6 0

Answer:

You can use the Law of Sines for this problem, but what makes it tough at first glance is that they put a step in before you can use it directly. That first step is to get m∠C. When solving a triangle, always get the third angle if you know the other two so that you can use the Law of Sines (or Law of Cosines) more directly.

The sum of the angles of any triangles is 180°. We know the measures of the two other angles. So we subtract them from 180° to find that third angle.

180° - 76° - 66° = 38°

Now we can use the proportion from the picture. Angle B measures 76°, side b is our unknown, Angle C measures 38°, and side c measures 3 units.

sin 76° sin 38°

----------- = -----------

b 3

Cross multiply to find b (the side). We carry out five places in these calculations to get more accuracy.

3 * sin 76° = b * sin 38°

b = 3 * sin 76° 3 * 0.56611 1.69832

--------------- = --------------- = ---------------- = 5.73044

sin 38° 0.29636 0.29636

To the nearest tenth, b - 5.7 units.

Step-by-step explanation:

google hope this helps

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Solve the equation. Round to the nearest hundredth. Show work.
Burka [1]

Answer:

x=-0.75

Step-by-step explanation:

The given equation is

4^{-5x-7}=6^{2x-1}

We take logarithm of both sides to base 10.

\log(4^{-5x-7})=\log(6^{2x-1})

(-5x-7)\log(4)=(2x-1)\log(6)

We expand the brackets to get;

-5x\log(4)-7\log(4)=2x\log(6)-\log(6)

Group similar terms;

-7\log(4)+\log(6)=2x\log(6)+5x\log(4)

-7\log(4)+\log(6)=(2\log(6)+5\log(4))x

\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x

x=-0.752478

To the nearest hundredth.

x=-0.75

3 0
3 years ago
Apr 24,8:28:53 AM<br> Find the 98th term of the arithmetic sequence -10,-8, -6, ...
Nata [24]

Answer: 184

Step-by-step explanation:

The nth term of am arithmetic sequence is calculated as:

Nth term= a+(n-1)d

where a = first term

d = common difference

a = -10

d = -8 -(-10) = -8+10 = 2

98th term= a+(n-1)d

= -10 + (98-1)(2)

= -10 + (97×2)

= -10 + 194

= 184

The 98th term of the arithmetic sequence is 184

6 0
3 years ago
What is the value of x? 6x - 2x = 16
agasfer [191]

6x - 2x = 16

4x = 16    |divide both sides by 4

<h3>x = 4</h3>
5 0
3 years ago
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If abc measures 65 what is the measure of adc
andre [41]
ADC should measure to 115 degrees if both measurements are equal to 180 degrees.
If not, ADC might be 25 degrees if both measurements are equal to 90 degrees.
Hope this helps.
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3 years ago
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Evaluate <br>2/3 + 11/100​
Likurg_2 [28]
.7766 approximately
8 0
2 years ago
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