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PtichkaEL [24]
3 years ago
13

Consider the inequality -5(x+7)<-10. write an inequality representing the solution for x

Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer:

x > 3

Step-by-step explanation:

- 5(x + 7) <  - 10

Dividing by - 5

x + 7 > 10 \\ x > 3

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Use the law of cosines to find the value of cos theta. round your answer to two decimal places
REY [17]

<u>Answer:</u>

The correct answer option is B. 0.21.

<u>Step-by-step explanation:</u>

We are to find the value of cos \theta using the law of cosines.

We know that the formula of the cosine rule is given by:

c ^ 2 = a ^ 2 + b ^ 2 - 2 a b cos C

So substituting the given values in the above formula:

10.9 ^ 2 = 5.8 ^ 2 + 10.5 ^ 2 - 2 (5.8) (10.5) cos C

118.81=33.64+110.25-121.8cosC

118.81 - (33.64+110.25) = -121.8cosC

118.81-143.86=-121.8cosC

cosC=\frac{-25.05}{-121.8}

cos C = 0.21

7 0
3 years ago
Solve for x 3x-1=9x+2
ANEK [815]
3x - 1 = 9x + 2

3x (-3x) - 1 (-2) = 9x (-3x) + 2 (-2)

-3 = 6x

-3/6 = 6x/6

-1/2 = x

hope thsi helps
4 0
3 years ago
Read 2 more answers
Can someone answer my last question got no response. :(
Sholpan [36]

Answer:

C. 5.1 + 2y + 1.2 = -2 + 2y + 8.3

Step-by-step explanation:

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Hope this helps and have a great day!

3 0
3 years ago
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A circle has a radius of 6. An arc in this circle has a central angle of 330
sashaice [31]

Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

r=6\ units\\\\C=330

Therefore, knowing these values, you can substitute them into the formula:

Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

3 0
3 years ago
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What is 2.20 rounded to the nearest tenth?
Musya8 [376]
2.20 rounded to the nearest tenth is 2.2 it is already rounded if it was 2.29 it would be 2.3 
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