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Gre4nikov [31]
3 years ago
11

What value of x is in the solution set of 9(2x + 1) < 9x - 18?

Mathematics
2 answers:
NikAS [45]3 years ago
7 0
B. Should be the answer :)
Alex17521 [72]3 years ago
6 0

Answer:

b. -3

Step-by-step explanation:

9(2x+1) < 9x-18

(distribute the 9)

18x+9 <9x-18

(subtract 9 from both sides)

18x<9x-27

(subtract 9x from both sides)

9x<-27

(divide both sides by 9)

x<-3

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Please help me asap!
dusya [7]

7. Law of cosines

a² = b² + c² - 2bc cos A

where a is the side opposite to ∠A and b and c are adjacent sides to ∠A.

Here, a=BC= 3.8

b=CA =4.8

c = AB = 3.2

Substituting the values in the formula,

3.8² = 4.8² + 3.2² - 2(4.8)(3.2) cos A

30.72 cos A =23.04 + 10.24 -14.44=18.84

cos A = 18.84/30.72 = 0.6133

∴ cos A =0.6133

8. It is a right angled triangle.

Pythagoras theorem

hypotenuse² = Perpendicular² + base²

Here, hypotenuse = 6.7, base = 5.4

Perpendicular² = 6.7² -5.4²=44.89 - 29.16 =15.73

Perpendicular = √15.73 = 3.966 = 3.97

∴ The length of the missing side is 3.97.

9. Given:   Side of new cube = 5 * Side of original cube

Let the side of the original cube measure 1 unit.

So, volume of original cube = side³ = 1

The side of new cube = 5 * 1 =5 units

So, volume of new cube = side³ = 5³ =125

The volume of the bigger cube is 125 times larger than the original cube.

10. Given : Height of the cone = 7 in

Radius of the base of the cone = 2 in

Volume of cone = (1/3) πr²h

                           =(1/3)π(2²)(7)

                           =29.32 cubic inches

∴ Volume of the cone is 29.32 cubic inches.

11. The given equation is:

x² -18x +10 =0

(x² -18x + 9²) +10 -9² =0

(x-9)²-71 =0

(x-9)² =71

x-9 =√71

x = 9 + √71

∴ x = 9+√71

7 0
3 years ago
What is the missing length 11 + = ×16 = ÷2 =209
zzz [600]
11 plus what number equals 16 in order to complete your problem.
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a chimp is taking a multiple-choice test. of course the chimp can't read and is guessing for every question. if there are 4 choi
stealth61 [152]

Answer:

21 because there is a 1/4 chance and there are 84 questions, so 1/4 (25%) of 84 is 21.

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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gogolik [260]

Answer:

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If we look at the solution we can calculate this very easily

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