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Tcecarenko [31]
3 years ago
14

Find the measure of angle B​

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

Step-by-step explanation:

Use the Law of Cosines for this. If we want the measure of angle B, then the equation is set up like this:

b^2=a^2+c^2-2accosB

Filling in:

9^2=14^2+6^2-2(14)(6)cosB and simplifying a bit:

81 = 196 + 36 - 168cosB and a bit more:

81 = 232 - 168cosB and even more:

-151 = -168cosB and divide both sides by -168 to get

.9378881988 = cosB

Now use the 2nd button on your calculator along with the cos button to find the missing angle. Make sure your calculator is in degree mode first. Your angle should be 20.30012152

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In a talent show of singing and comedy acts, singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long. The show ha
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Step-by-step explanation:

Let the number of singing act be x

Let the number of comedy act be y

If the total act is 14, then;

x+y = 14..... 1

If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:

4.5x + 3.5y = 59 .......... 2

Solve both equation simultaneously for x and y

x+y = 14

45x+35y = 590

.................................

x+y = 14......... *9

9x+7y = 118....... 1

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9x+9y = 126

9x+7y = 118

Subtract both equations

9y-7y = 126-118

2y = 8

y = 8/2

y = 4

Substitute y = 4 into equation 1;

From 1: x+y = 14

x+4 = 14

x = 14-4

x =10

Hence there are 10 singing acts and 4 comedy acts in the show

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BARSIC [14]

Answer:

i have the same question

Step-by-step explanation:

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Find the circumference of the circle.
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I think it’s B because 3.14 times 12 is 37.68.
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The line plots show the number of hours two different age groups of teenagers spent online the previous week.
nikklg [1K]
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\frac{21+24+26+27+27+28+28+28+31+34}{10}=\frac{274}{10}=27.4

The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12.  36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):
\frac{12+21+27+28+28+28+28+30.5+34+35+36}{11}=\frac{307.5}{11} \approx27.95
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4 less than a number and 9
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Answer:

9x-4

Step-by-step explanation:

9x-4 4 less = -4. number = x. 9 is by x.

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