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3 years ago

What is the answer to the math problem 2/8 5/12=/?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

5 0

Combine the fractions by finding a common denominator

Exact form:
5/48
Decimal Form:
0.10416666...

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Find a function that models the area A of an equilateral triangle in terms of the length x of one of its sides.

creativ13 [48]

$A(x)=\frac{x^2\sqrt3}{4}$

3 0

3 years ago

Solving Rational Inequalities and use sign diagram to sketch the graph. Image attached for better understanding.

Digiron [165]

Answer:

x ∈ (-∞, -1) ∪ (1, ∞)

Step-by-step explanation:

To solve this problem we must factor the expression that is shown in the denominator of the inequality.

So, we have:

$x ^ 2-1 = 0\\x ^ 2 = 1$

So the roots are:

$x = 1\\x = -1$

Therefore we can write the expression in the following way:

$x ^ 2-1 = (x-1)(x + 1)$

Now the expression is as follows:

$\frac{(x-2) ^ 2}{(x-1) (x + 1)}\geq0$

Now we use the study of signs to solve this inequality.

We have 3 roots for the polynomials that make up the expression:

$x = 1\\x = -1\\x = 2$

We know that the first two are not allowed because they make the denominator zero.

Observe the attached image.

Note that:

$(x-1)\geq0$ when $x\geq-1$

$(x + 1)\geq0$ when $x\geq1$

and

$(x-2) ^ 2$ is always $\geq0$

Finally after the study of signs we can reach the conclusion that:

x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)

This is the same as

x ∈ (-∞, -1) ∪ (1, ∞)

6 0

3 years ago

In preparation for the Maths festival you are asked to work out how much water the drinks area will need for the event. The aren

Tresset [83]

Total liters of water needed = number of attendee x water consumption/attendee wherenumber of attendee = 7000 attendeewater consumption/attendee = 0.5litre of water/attendeetotal = 7000 x 0.5 litre = 3500 litrescomputing the water requirement per 200 litre containerwater requirement in the event = 3500 litres/200 litre /container = 17.5 containersThe water requirement in the event at the arena of 7000 attendees is 17.5 containers.

3 0

3 years ago

a straight line passes through points A(-2,6) and B(4,2). M is the midpoint of line AB.Find the coordinates of M

slamgirl [31]

Answer:

(1,4)

Step-by-step explanation:

7 0

1 year ago

Can help with this please

madam [21]

Answer:

m∠8 = 4x

Step-by-step explanation:

Angle 8 is the same angle measure of angle 1, which is m∠1 = 4x

7 0

3 years ago