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1 year ago

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Eduardo's definition of parallel lines is two lines that never meet. Is he correct? In two or more complete sentences, explain w

hy or why not Eduardo is correct.

2 answers:

Ratling [72]1 year ago

3 0

The definition of parallel lines is;<span> two </span>lines<span> that are always the same distance apart and never touch. In order for two </span>lines<span> to be </span>parallel<span>, they must be drawn in the same plane, a perfectly flat surface like a wall or sheet of paper. ... Any </span>line<span> that has the same slope as the original will never intersect with it.</span>

maw [93]1 year ago

3 0

He is correct, because parallel lines are two lines apart from each other and can NEVER meet so yes, Eduardo is correct

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Jim wants to start investing in bonds. He checks with two brokers to ask them for suggestions of bonds to buy. Broker J, who cha

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I agree with the given answer because of the gain or loss on retirement of bonds = book value of bonds - the amount paid to the bondholders

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1 year ago

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which of the following represents a chord, but not a diameter, of the circle? A. TS, B. SN, C.TR, D.MN

Georgia [21]

Answer: A diameter goes straight across the circle and passes through the center point (point M). A radius stops at the center point, making the line go halfway across the circle (basically half the diameter). A chord goes across the circle, but does not go through the center point. Therefore, the answer is C, because it does not go through the center point.

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1 year ago

What is 1 4/7 as a improper fraction

Serhud [2]

Hello there,

To write an improper fraction you will have to divide whole number by denominator than add the numerator...

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11/7

Answer: 11/7

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-Char

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1 year ago

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Brad is hoping to package exactly 48 baseballs together. He sees the side of a box in his storeroom that is 2 x 3. What is he ho

lakkis [162]

The given dimensions of the base of the box are 2 x 3 units.

Let h be the height of the box.

So, the volume of the box = 2 x 3 x h ...(i)

The shape of baseball is spherical and one baseball fits in a cubical box having the minimum dimensions equal to the diameter of the spherical ball.

Assuming the diameter of the baseball is d units.

So, the volume occupied by one baseball= volume of the cubical box having the side $d$ units.

$=d^3$ cubic units

So, the volume required to pack 48 baseballs

$= 48 d^3 \cdots(ii)$

Assuming that all the baseballs fit in the box, i.e peripheral balls in every horizontal and vertical layer touched the box as shown in the figure.

So, the length, 3 units and the width, 2 units, must be the integral multiple of the diameter, $d$ units, of the baseball. i.e

The length, $3 = ad\cdots(iii)$

The width, $2=bd\cdots(iv)$

The height, $h=cd\cdots(iv)$

where $a,b$ and $c$ belong to the natural number.

This required volume must be equals to the volume of the box.

From equations (i) and (ii),

$2\times 3\times h=48d^3$

[from (iii) and (iv)]

$\Rightarrow abhd^2=48d^3$

$\Rightarrow h=\frac{48d^3}{6abd^2}$

$\Rightarrow h=\frac{48}{ab}d$

On comparing with the equation (iv)

$c=\frac{48}{ab}\cdots(v)$

Now, if the diameter of the baseball is unity,i.e, d=1 unit

( integer) and (integer) [from (iii) and (iv)]

(also an integer) [from (v)]

Now, the height of the box,

$h=8 \times 1= 8$ unit.

Hence, the other dimension of the box, is 8 units corrosponding to the unity diameter of the baseball.

Note the height of the box depends on the diameter of the baseball, so it will have infinite possible value for different value of the diameter.

For example, the value of height for d=1 unit has been shown.

and another example may be if units, then (integer) and (integer)

(also an integer) [from (v)]

Now, the height of the box,

$h=2 \times 0.5= 1$ unit. [from (iv)]

Here, the height of the box is 2 units corrosponding to 0.5 unit diameter of the baseball.

The possivle values of d can be taken for which $a,b$ and $c$ must be integers.

6 0

1 year ago

What is the following simplified product? Assume x greater-than-or-equal-to 0 (StartRoot 10 x Superscript 4 Baseline EndRoot min

9966 [12]

Answer:

$\bold{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}$

Step-by-step explanation:

To find:

Simplified product of:

$(\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})$

Solution:

First of all, let us have a look at some of the formula:

1. $(a+b) (c+d) = ac+bc+ad+bd$

2. $a^b\times a^c =a^{b+c }$

3. $\sqrt{a^{2b}} = \sqrt{a^b.a^b}=a^b$

4. $\sqrt a \times \sqrt b = \sqrt{a\times b}$

Now, let us apply the above formula to solve the given expression.

$(\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\\\\\Rightarrow(\sqrt{10x^4})(2\sqrt{15x^4})+(\sqrt{10x^4})(\sqrt{3x^3})-(x\sqrt{5x^2})(2\sqrt{15x^4})-(x\sqrt{5x^2})(\sqrt{3x^3})\\\\\Rightarrow2\sqrt{150x^8}+\sqrt{30x^7}-2x\sqrt{75x^6}-x\sqrt{15x^5}\\\\\Rightarrow\bold{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}$

The answer is:

$\bold{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}$

8 0

1 year ago