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wariber [46]
2 years ago
7

Use the law of sines to complete an expression that represents the angle measure x

Mathematics
1 answer:
Assoli18 [71]2 years ago
6 0
Answer: 51.9 degrees
Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
51.87827502 degrees=x
51.9= angle x
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You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?. a. using a paid
Paraphin [41]

<u>Answer</u>

c. buying it at a 10 percent discount without sales tax.


<u>Explanation</u>

We are going to compare the 3 choices and then determine the most cost effective.

<em>a. using a paid membership card to buy it at a 10 percent discount.</em>

10% of $100 = 10/100×100 = $10

cost = $100 - $10 = $90

On top of this $90 there is the charges of the membership card.

<em> b. buying it online at a 10 percent discount with a $5 shipping charge.</em>

100%-10% = 90%

90% of 100 = $90

Cost: $90 + $5 = $95

<em>c. buying it at a 10 percent discount without sales tax.</em>

100% - 10% = 90%

90/100 × 100 = $90. This is the must cost effective method since there is no other cost involved.


7 0
3 years ago
Read 2 more answers
A multinational firm wants to estimate the average number of hours in a month that theiremployees spend on social media while on
elena55 [62]

Answer:

95% of the population spent between 16.8 hours to 26.2 hours on social media per month

Step-by-step explanation:

  1. subtracting 1 from sample size: 83-1= 82
  2. Note Mean=21.5 and standard deviation=2.5
  3. Subtracting confidence interval from 1 and dividing by 2: (1-0.95)/2=0.025
  4. At α=0.025 and dF=82,  the t-distribution table gives  1.984
  5. Divide standard deviation by square root of sample size: 21.5/√83= 2.36
  6. Multiplying answer in step 4 by answer in step 5: 2.36×1.984= 4.68
  7. For lower end: 21.5-4.68= 16.82
  8. for upper end: 21.5+4.68=26.18

7 0
3 years ago
Read 2 more answers
PLEASE HELP I NEED THIS TO BE DONE
yanalaym [24]
To find the mean you add all the #'s and divide by how many there are. 4+5+6+7 +8= 30 /5 is 6. Tara is right. 
5 0
2 years ago
How do you add vectors? Add the vector &lt;3,4&gt; to the vector that goes 7 units at an angle of 2π/3.
lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle \frac{2\pi }{3}

- That means its magnitude is 7 and its direction is  \frac{2\pi }{3}

∴ x = 7 cos(  \frac{2\pi }{3} )

∴ y = 7 sin(  \frac{2\pi }{3} )

∵ cos(  \frac{2\pi }{3} ) =  -\frac{1}{2}

∵ sin(  \frac{2\pi }{3} ) =  \frac{\sqrt{3}}{2}

- Substitute them in x and y

∴ x = (7)( -\frac{1}{2} )

∴ x = -3.5

∴ y = (7)( \frac{\sqrt{3}}{2} )

∴ y = 3.5\sqrt{3}

∴ The vector is <-3.5 , 3.5\sqrt{3}>

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5\sqrt{3} > = <3 + -3.5 , 4 + 3.5\sqrt{3} >

∴  <3 , 4> + <-3.5 , 3.5\sqrt{3}> = <-0.5 , 4+3.5\sqrt{3} >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

5 0
3 years ago
If it takes 4 men 6 hours to repair a road, How long will it take 3 men to do the job if they work at the same rate ? A) 5 hours
ch4aika [34]
Answer is <span>C) 8 hours

hope it helps</span>
3 0
3 years ago
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