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Margarita [4]
3 years ago
12

What is the best approximation of the length of segment QS? (Note: cos 80° = 0.17)

Mathematics
1 answer:
matrenka [14]3 years ago
6 0

Answer: QS=11.8cm


Step-by-step explanation:

1. You have the following information:

- The lenght of RS is 2 centimeters.

- The angle m∠S=80°.

- Cos80°=0.17

2. Therefore, you can calculate the lenght of the segment QS as following:

cos80=\frac{adjacent}{hypotenuse}

adjacent=2cm\\hypotenuse=QS\\cos80=0.17

3. Substitute values and solve for QS:

0.17=\frac{2cm}{QS}\\QS=\frac{2cm}{0.17} \\QS=11.76cm

4. To the nearest tenth:

QS=11.8cm

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Taya2010 [7]

Answer:

2(3x+y=4)

1(x+2y=-2)

6x+2y=8

<u>(-) x+2y=-2</u>

<u>5x=10</u>

5

x=2

x+2y=-1

2+2y=-1

<u>-</u><u>2</u><u> -</u><u>2</u>

<u>2y=-</u><u>3</u>

2

y=-3/2

Step-by-step explanation:

  1. multiply the first equation by 2 to make y equal to each other.
  2. subtract to eliminate y
  3. divide by 5 to get x
  4. take one of the equations
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3 0
3 years ago
Write an inequality to model the situation.
svet-max [94.6K]

Answer:

n >21

Step-by-step explanation:

The number exceeds 21 or is greater than 21.

‘>’ represents greater than.

Let the number be n.

n >21

8 0
3 years ago
Read 2 more answers
1. Events A and B are dependent, P(A)=20%, P(BIA)=25%. What is P(A and B)?
Blizzard [7]
1. Given that e<span>vents A and B are dependent, P(A)=20%, P(BIA)=25%. What is P(A and B)?
P(BIA)=[P(A and B)]/P(A)
it follows then that:
P(A and B)=P(A)*P(BIA)
P(A)=0.2
P(BIA)=0.25
hence
P(A and B)=0.2*0.25=0.05=5%

2. Given that </span><span> P(A) =12%, P(B)=48% and P(A or B)=50%. What is P(A and B)?
P(A or B)=P(A)+P(B)-P(A and B)
but
P(A)=12%, P(B)=48%, P(A and B)=50%
thus
P(A or B)=12%+48%-50%
simplifying the above we obtain:
P(A or B)=60%-50%=10%

</span>
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3 years ago
Hernando and Rachel are factoring 2mp-6p+27-9m. Is either of them correct? Explain your reasoning,
vichka [17]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as Hernando and Rachel's solution are not provided. So, I will just solve the question directly.

Given

2mp-6p+27-9m

Required

Factor

2mp-6p+27-9m

Group into 2

2mp-6p+27-9m = [2mp-6p]+[27-9m]

Factor each group

2mp-6p+27-9m = 2p[m-3]+9[3-m]

Rewrite 3 - m as -(m-3)

So, we have:

2mp-6p+27-9m = 2p[m-3]-9[m-3]

Factor out m - 3

2mp-6p+27-9m = [2p-9][m-3]

3 0
3 years ago
Would the question be what does the effect of temperature on the respiration of yeast do??
Akimi4 [234]

Answer:

It melts it

Step-by-step explanation:

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