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2 years ago

Which biconditional is NOT a good definition?

Mathematics

2 answers:

Lady_Fox [76]2 years ago

8 0

The answer is D because and obtuse angle is 91 degrees or more

Vladimir79 [104]2 years ago

6 0

<h2>Answer:</h2>

Option: d is the correct answer.

d. An angle is obtuse if and only if its measure is greater than 180°

<h2>Step-by-step explanation:</h2>

<u>Acute angle--</u>

An angle is acute if and only if the measure of the angle is strictly less than 90 degree.

<u>Right angle--</u>

An angle is right angle if and only if the measure of the angle is exactly equal to 90 degree.

<u>Obtuse angle--</u>

An angle is said to be obtuse if and only if the measure of the angle is strictly greater than 90 degree and strictly less than 180 degree.

<u>Congruent angles--</u>

Two angles are said to be congruent if and only if both the angles have the same measure.

Hence, the biconditional which is NOT a good definition is:

Option: d

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Darlene has a large fish tank in her room. Would

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Answer:100 L-?

Step-by-step explanation:

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2 years ago

Read 2 more answers

A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a wa

Mkey [24]

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = $\frac{12!}{3! 3! 3! 3!}$

Now,

The Total number of ways in which Remaining cards are distributed = $\frac{40!}{10! 10! 10! 10!}$

So,

Total number of ways of getting 3 picture card and remaining card = $\frac{12!}{3! 3! 3! 3!}$ × $\frac{40!}{10! 10! 10! 10!}$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = $\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }$

∴ The probability = $\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$ × $\frac{(13!)^{4} }{ 52! }$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$ × $\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }$

= $\frac{12!}{(3!)^{4} }$ × $\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}$

= $\frac{479,001,600}{(6)^{4} }$ × $\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}$

= 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

6 0

3 years ago

Alex wants to buy 7 DVDs.

castortr0y [4]

The most each dvd can cost is $4.
I haven’t covered inequalities yet.

6 0

2 years ago

If f is a function and x is an element in its domain, which statement is true about the graph of f?

Arada [10]

An appropriate choice among these is
The graph of f is the graph of the equation y = f(x).

_____
Horizontal and vertical axes of the Cartesian plane are conventionally labeled and referred to as "x" and "y", respectively. When we talk about the graph of f(x) in that context, we usually mean the graph of y=f(x). However, this convention may not be followed in all cases. There may be no "y" label on the graph at all, or the horizontal axis may be labeled something other than "x".

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3 years ago

Beth is moving into a new house and purchased cardboard boxes for packing her things. Each cardboard box has a square base and a

Shtirlitz [24]

Answer: Choice D)
S(x) = 6x^2 - 20x

-----------------------------------------------
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Explanation:

x = side length of base
x*x = x^2 = area of base

The top also has an area of x^2 since the base and top are both congruent squares. The total base area is x^2+x^2 = 2x^2

The height h is 5 inches shorter than the base, so
h = (base length) - 5
h = x-5

Each lateral side is of area h*x = (x-5)*x = x^2-5x

There are 4 lateral sides
Total lateral area = 4*(area of one lateral side)
Total lateral area = 4*(x^2-5x)
Total lateral area = 4*x^2-4*5x
Total lateral area = 4*x^2-20x

Add the total lateral area (4x^2-20x) to the total base area (2x^2)

Doing so gets us
S(x) = Total Surface Area
S(x) = (Area of bases) + (area of lateral sides)
S(x) = (2x^2) + (4x^2-20x)
S(x) = (2x^2+4x^2) - 20x
S(x) = 6x^2 - 20x
which is why the answer is choice D

4 0

3 years ago