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3 years ago

Solve the inequality. 1/5+1/3x>1/2x-1/4

Mathematics

1 answer:

natita [175]3 years ago

3 0

1/5 + 1/3·x > 1/2·x - 1/4

1/3·x - 1/2·x > - 1/4 - 1/5

2/6·x - 3/6·x > - 5/20 - 4/20

- 1/6·x > - 9/20

1/6·x < 9/20

x < 54/20

x < 27/10

x < 2.7

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Chen chooses a prime number he multiple s it by 10 and then rounds it to the nearest hundred his answer is 400 write all the pos

poizon [28]

It would most likely be 41 because when you would round 41 after you would × 41 times 10 equals 410 then you would round it to 400

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3 years ago

Three of exterior angle of n-sided polygon are 50° each two of it's interior angle are 127° and 135° and the remaining interior

irga5000 [103]

Answer:

The value of n is 21.

Step-by-step explanation:

We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.

As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).

And, the exterior angle = 180° - the interior angle.

So, according to the question;

$(3 \times 50) + (180-127) + (180 - 135) + (n - 5)\times (180-173) =360$

150 + 53 + 45 + 7(n - 5) = 360

248 + 7n - 35 = 360

213 + 7n = 360

7n = 360 - 213

7n = 147

n = $\frac{147}{7}$

n = 21

Hence, the value of n is 21 and this is a 21-sided polygon.

4 0

3 years ago

F(x)=2x and g(x)=square root of x what is the domain of f(g(x))?

Dmitriy789 [7]

Answer:

$x\ge 0$

Step-by-step explanation:

The given functions are:

$f(x)=2x$

and

$g(x)=\sqrt{x}$

Now,

$f(g(x))=f(\sqrt{x} )$

$f(g(x))=2\sqrt{x}$

The domain refers to values of $x$ for which $f(g(x))=2\sqrt{x}$ is defined.

The expression under the radical sign must not be negative.

The domain is

$x\ge 0$

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3 years ago

Why are all the questons just for 5 points no one choses higher

ValentinkaMS [17]

Answer:

I don't know I want even let me choose 5

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2 years ago

HELP WILL GIVE BRAINLIEST FOR ANSWER QUICKLY PLEASE HELP

Helen [10]

Answer:

We have sinθ = 12/13

The method here is to figure out the value of θ

Using a calculator sin^(-1)(12/13) =67.38°

67.38° is in quadrant 1 so we must substract 67.38° from 180° wich is π

180-67.38= 112.61° ⇒ θ= 112.61°

Now time to calculate cos2θ and cosθ using a calculator

cosθ = -5/13
cos2θ = -0.7

The values we got make sense since θ is in quadrant 2 and 2θ in quadrant 3

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3 years ago