16. A number has exactly 8 factors, two of which are

In the picture below, which lines are lines of symmetry for the figure?

zlopas [31]

Answer:

i gues none... bcuz its irregular symmetry shape

6 0

3 years ago

Triangle A"B"C" is formed using the translation (x + 2 y + 0) and the dilation by a scale factor of from the origin. Which equat

kramer

Answer:

segment a double prime b double prime = segment ab over 2

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. which equation explains the relationship between segment ab and segment a double prime b double prime?

coordinate plane with triangle ABC at A (- 3, 3), B (1, - 3), and C (- 3, -3).

segment a double prime b double prime = segment ab over 2

segment ab = segment a double prime b double prime over 2

segment ab over segment a double prime b double prime = one half

segment a double prime b double prime over segment ab = 2

Answer: If triangle ABC at A (- 3, 3), B (1, - 3), and c (- 3, -3) is translated using (x + 2, y + 0), then the new coordinates of triangle ABC would be at A'(- 3 + 2, 3), B'(1 + 2, - 3), and C'(- 3 + 2, -3) Which is A'(- 1, 3), B'(3, - 3), and C'(- 1, -3). The dilation by a scale factor of from the origin gives A″ (-1/2, 3/2), B″ (3/2, -3/2) and C″(-1/2, -3/2) = (-0.5, 1.5), B″ (1.5, -1.5) and C″(-0.5, -1.5)

The distance AB and A"B" are given as:

$AB=\sqrt{(1-(-3))^2+(-3-3)^2} =\sqrt{5 2} \\\\A"B"=\sqrt{(1.5-(-0.5))^2+(-1.5-1.5)^2} =\sqrt{13}$

AB = √52 = √(4×52) = 2√13 = 2A"B"

A"B" = AB/2

3 0

3 years ago

Leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. The triangular base has a

Illusion [34]

Answer: The answer is $(A)~~x=\dfrac{-7+\sqrt{193}}{4}.$

Step-by-step explanation: Given that Leonhard wants to place a triangular based cabinet in the corner of his room which is rectangular in shape.

The base and height of the triangular cabinet are

$b=(2x+3)~\textup{feet},\\\\h=(3x+6)~\textup{feet}.$

Therefore, area of the triangular cabinet is given by

$a=\dfrac{1}{2}\times b\times h=\dfrac{1}{2}(2x+3)(3x+6)~\textup{sq. feet.}$

Now, the length and breadth of the rectangular room are 30 feet and 20 feet respectively. Therefore, the area of the room is given by

$A=30\times 20=600~\textup{sq. feet.}$

According to the question,

$a=6\%\times A\\\\\Rightarrow \dfrac{1}{2}(2x+3)(3x+6)=\dfrac{6}{100}\times 600\\\\\Rightarrow (2x+3)(3x+6)=24\times 3\\\\\Rightarrow (2x+3)(x+2)=24\\\\\Rightarrow 2x^2+7x-18=0\\\\\Rightarrow x=\dfrac{-7\pm\sqrt{7^2-4\times 2\times(-18)}}{2\times 2}\\\\\\\Rightarrow x=\dfrac{-7\pm\sqrt{193}}{4}.$

Since the length of something cannot be negative, so the value of 'x' is

$x=\dfrac{-7+\sqrt{193}}{4},$

because if we take the other value of 'x', the values of (2x+3) and (3x+6) will become negative which is not possible.

Thus, (A) is the correct option.

5 0

3 years ago

A cone is 10 inches tall and has a radius of 4 inches. What is the cone's volume?

gtnhenbr [62]

Answer:

167.55 in

Step-by-step explanation:

use the formula : V= $\pi r^{2} \frac{h}{3}$

7 0

3 years ago

Read 2 more answers

When can the empirical rule be used to identify unusual results in a binomial experiment? why can the empirical rule be used to

Naddika [18.5K]

The Empirical Rule states that, when the distribution is bell-shaped, around 95% of all observations will be within 2 standard deviations from the mean, which means from μ - 2σ to μ + 2σ.

The binomial distribution is a bell-shaped distribution with:
μ = np and
σ = √(np(1-p))

Therefore, 95% of the outcomes will be in the interval from np-2√(np(1-p)) and np+2√(np(1-p))

Any observation that lies outside this interval (which means greater than np+2√(np(1-p)) or less than np-2<span>√(np(1-p))</span> ) occurs less then 5% of the times and therefore can be considered "unusual".

7 0

3 years ago