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2 years ago

The absolute value of a negative fraction is always greater than 1, true of false?!

Mathematics

1 answer:

Fantom [35]2 years ago

6 0

Answer: False

Step-by-step explanation: False because zero is negative or positive. The absolute value of any number could also include the absolute value of 0, which would be 0. Thus, the absolute value of any rational number is not always greater than zero, it can be zero as well. However, it is true that the absolute value of any rational number can never be negative.

Rational Number definition: Rationals contain whole numbers, integers, decimals, fractions, basically most numbers or any numbers.

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A floor tile is 20 inches wide. If the perimeter of the tile is 72 inches, what is the length of the tile?

Jobisdone [24]

Answer:

16 inches

Step-by-step explanation:

Given,

Perimeter = 72 inches

Breadth = 20 inches

Perimeter = 2 ( L+B )

72 = 2 ( L+20)

72= 2L + 40

72-40=2L

32/2=L

L=16 inches

therefore , lenght of the tile is 16 inches

7 0

3 years ago

36. GEOMETRY Write an algebraic expression to

Stels [109]

Answer:

108 in²

Step-by-step explanation:

Area of a triangle is given as ½*base*height

The base of the given triangle = h + 6

height = h

Algebraic expression for its area = $\frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2}$

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

$\frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2}$

$= \frac{144 + 72}{2}$

$= \frac{216}{2} = 108 in^2$

6 0

3 years ago

These cylinders are similar. Find the volume of

Basile [38]

Answer:

$V_s=85\ cm^3$

Step-by-step explanation:

Let $V_s\ and\ V_b$ be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

$V=\pi r^2 h$

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

$\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3$