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kogti [31]
3 years ago
6

Which proportion could be used to find the length of side b? 6 720 859 A 6.2

Mathematics
2 answers:
Dmitrij [34]3 years ago
6 0
I would pick D but I’m not 100% sure
Mrac [35]3 years ago
4 0

Answer: Choice C) \frac{\sin(23)}{6.2} = \frac{\sin(85)}{b}

=========================================================

Explanation:

The angle opposite side b is 85 degrees. So we'll involve either the fraction \frac{\sin(85)}{b} or \frac{b}{\sin(85)}. In this case, we will use the first fraction. This is due to all of the answer choices having sine on top.

The other fraction must have sine on top as well.

The known side is AB = 6.2; the opposite angle is C = 23 which you find by solving A+B+C = 180 and plugging in A = 72 and B = 85.

So the other fraction we'll use is \frac{\sin(23)}{6.2}

Overall, the proportion we can set up is

\frac{\sin(23)}{6.2} = \frac{\sin(85)}{b}

which points to choice C as the final answer.

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A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
r-ruslan [8.4K]

Answers:

  • Total amount of money =  220 dollars
  • Amount Farah gets = 100 dollars

==========================================================

Explanation:

  • F = amount Farah gets
  • S = amount Shaiyara gets
  • Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

  • F = 10x
  • S = 7x
  • Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

  • F = 10x = 10*10 = 100
  • S = 7x = 7*10 = 70
  • Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

6 0
2 years ago
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
Afina-wow [57]

Answer:

3rd option

Step-by-step explanation:

Given

x³ - 7x² - 5x + 35 ( factor the first/second and third/fourt terms )

= x² (x - 7) - 5(x - 7) ← factor out (x - 7) from each term

= (x² - 5)(x - 7)

5 0
2 years ago
Hey school earn $70 from selling 50 tickets for the school play each ticket cost the same price how much does the school earn fo
sammy [17]

Answer:Well, divide 50 from 70 to get your answer and if you want you can double check your work but whatever your answer is after you divide is your answer (mine was 1.4). Sorry my typing might sound weird or I got the wrong answer I am just tired.

Step-by-step explanation:

5 0
3 years ago
PLEASE PLEASE PLEASE ​
Scilla [17]

Answer: The first one

6 0
3 years ago
I need answer for 4 5 6 plse sent fast
tekilochka [14]

Answer:

Answer for what?

Step-by-step explanation:

5 0
3 years ago
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