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Mathematics

1 answer:

Veronika [31]3 years ago

4 0

The rectangular prism has the greatest volume

Rectangular Prism Volume= 72
Triangular Prism Volume = 70

Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h

Work:
(R.Prism)

V= 4•6•3
V= 72

(T.Prism)

V= (1/2•4•5)(7)
V= 70

Hope this helps

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If x varies inversely as y, and x=27 when y=6 find x when y=2

kondaur [170]

For this case we have that the inverse variation is defined as:

$y = \frac {k} {x}$

Where:

k: It is the constant of proportionality

According to the statement we have:

$x = 27\\y = 6\\6 = \frac {k} {27}$

We find the constant of proportionality:

$k = 27 * 6\\k = 162$

Then we find the value of x when $y = 2$ :

$2 = \frac {162} {x}\\x = \frac {162} {2}\\x = 81$

Answer:

$x = 81$

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4 years ago

Which of the following parabolas opens down?

Veseljchak [2.6K]

ANSWER

The correct answer is C.

EXPLANATION

The directrix of the parabolas are parallel to the x-axis.
This means that, the orientation of the parabola is parallel to the y-axis.
We compare the focus and the directrix to determine whether the parabola opens downwards or upwards.
If the directrix is above the focus, then the parabola opens downwards.
On the other hand if the directrix is below the focus , then the parabola must open upwards.
If you look at option C, y=-2 isthe directrix. The focus is (3,-5). Since the the y-value of the focus , -5 is less than y=-2 which is the directrix, this parabola must open down.

The correct answer is C.

3 0

3 years ago

In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?

pogonyaev

Answer:

$x=15^\circ$