Bruce ate 18 chips and 23 pretzels.About how many snacks did he eat in All?

A right rectangular prism has a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters.

UkoKoshka [18]

v = b x w x h

7 x 5 x 4 = 140 cm cubed

6 0

2 years ago

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Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than

lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²

8 0

3 years ago

Does this table of values represent a linear relationship? Explain your answer.

eduard

Answer:

Yes

Step-by-step explanation:

Yes, because there is a constant rate of change. It is and will always be constantly increasing by 1.5.

To be a linear line you have to have a constant rate of change.

7 0

2 years ago

In an ellipse, the ratio of the distance between the foci and the length of the major axis is called:

Anni [7]

The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.

<h3>Definitions of dimensions in ellipses</h3>

Dimensionally speaking, an ellipse is characterized by three variables:

Length of the <em>major</em> semiaxis ( $a$ ).
Length of the <em>minor</em> semiaxis ( $b$ ).
Distance between the foci and the center of the ellipse ( $c$ ).

And there is the following relationship:

$c = \sqrt{a^{2}-b^{2}}$ (1)

Another variable that measure how "similar" is an ellipse to a circle is the eccentricity ( $e$ ), which is defined by the following formula:

$e = \frac{c}{a}$ , $0 \ge c \ge 1$ (2)

The greater the eccentricity, the more similar the ellipse to a circle.

Therefore, the ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity. $\blacksquare$