What is 14.1421356237 rounded to 0.05?

Mathematics

1 answer:

lesya [120]3 years ago

4 0

i believe the answer is 14.14

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In a group of 48 children there are three times as many boys as girls. how many girls are there

Leno4ka [110]

If x=girls,
then we have 3x boys.

We know that all children are boys+girls, so x+3x, which is 4x and 4x is 48, so one x is 12.

So there are 12 girls and 36 boys.

5 0

3 years ago

Read 2 more answers

What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!

Delicious77 [7]

ANSWER
$f(x)= \frac{1}{4} {(x - 1)}^{2}$

EXPLANATION

Since the directrix is
$y = - 1$

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

$(1,1)$

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

${(x - h)}^{2} = 4p(y - k)$
where
$(h,k)$

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
$(1, - 1)$

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
$h = \frac{1 + 1}{2} = 1$

and
$k = \frac{ - 1 + 1}{2} = 0$

The equation of the parabola now becomes,

$(x - 1) ^{2} = 4p(y - 0)$

$|p| = 1$

Thus, the distance between the vertex and the directrix.

This means that,

$p = - 1 \: or \: 1$

Since the parabola opens up, we choose
$p = 1$
Our equation now becomes,

${(x - 1)}^{2} = 4(1)(y - 0)$

This simplifies to
${(x - 1)}^{2} = 4y$

or

$y = \frac{1}{4} {(x - 1)}^{2}$

This is the same as,

$f(x)= \frac{1}{4} {(x - 1)}^{2}$

The correct answer is D .

4 0

3 years ago

A certain connected graph has 68 vertices and 72 edges. Does it have a circuit?

OLEGan [10]

Answer:

Yes.

Step-by-step explanation:

If a graph G doesn't have a circuit, we must have that

$|E(G)|=|V(G)|-1$