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3 years ago

8

Solve the following inequality. 45 < 9(x + 3) < 153 A. 8 < x < 14 B. 2 < x < 20 C. 8 < x < 20 D. 2 <

x < 14

1 answer:

kaheart [24]3 years ago

7 0

Answer:

B

Step-by-step explanation:

hope this help but I worked it out so it should be true

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There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the

liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0

3 years ago

A web site charges $0.99 to download a game and a 12.49 membership fee.write an expression that gives the total cost in dollars

icang [17]

Hello!

To write this equation we will use c to represent the total cost, and g to represent however many games you download.

c=12.49+0.99g

The constant rate is 12.49, that will never increase or change in our equation.

Depending on how many games you download, that will be the rate that affects our total cost.

If you only purchase one game, you only spend $13.48. Where as if you buy 10 games, you spend $22.39.

3 0

4 years ago

What is 2X^2+9x-1=0 ?

Andreyy89

I have no clue whatsoever sorry

4 0

3 years ago

Perform the computation:

adoni [48]

9514 1404 393

Answer:

√42 ≈ 6.48074

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic.

$\sqrt{(a)(b)}=\sqrt{(14)(3)}=\boxed{\sqrt{42}\approx6.48074}$

_____

42 = 2·3·7 is not a perfect square, nor does it have any perfect square factors. Its square root is irrational.

7 0

3 years ago

What is the simplified expression for -3(2x-y)+2y+2(x+y)

JulijaS [17]

Answer:

7y - 4x

Step-by-step explanation:

Given

- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis

= - 6x + 3y + 2y + 2x + 2y ← collect like terms

= 7y - 4x

7 0

3 years ago