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2 years ago

Write a biconditional statement to define the term parallelogram

1 answer:

6 0

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

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Consider the equation: x^2-51=14x Rewrite the equation by completing the square and what the solution to the equation.

Mariana [72]

Answer:

x = -3 and x = 17

Step-by-step explanation:

x² - 51 = 14x

x² - 14x - 51 = 0

(x + 3)(x - 17) = 0

x = -3 and x = 17

4 0

2 years ago

Read 2 more answers

Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches

grigory [225]

Volume:

$V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

$V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}$

So:

$V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height$

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

$r=\frac{8}{2}=4in$

And the height of the cylinder is:

$h=15in$

So:

$V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3$

The volume of a hemisphere is half the volume of a sphere, hence:

$V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3$

Finally, the volume of the composite figure is:

$V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0

2 years ago

Question part points submissions used consider the following. g(x)={((x**2-a**2)/(x-a) text(if ) x != a,4 text(if ) x =

EastWind [94]

For $x\neq a$ , we have

$\dfrac{x^2-a^2}{x-a}=\dfrac{(x-a)(x+a)}{x-a}=x+a$

So for $g(x)$ to be continuous at $x=a$ , we require that the limit as $x\to a$ is equal to 4.

$\displaystyle\lim_{x\to a}g(x)=\lim_{x\to a}(x+a)=2a=4\implies a=2$

4 0

3 years ago

PLEASE HELP. A cylinder has a radius of 3 feet and a height of 2.1 feet. What is the volume of the cylinder to the nearest tenth

Sergio039 [100]

I am pretty sure its d.

4 0

3 years ago

Read 2 more answers

What is the product? 2 1/3 × 3 1/4

asambeis [7]

Answer:

7.583333 / 7 7/12

Step-by-step explanation:

2 1/3 × 3 1/4

2 1/3=7/3

3 1/4= 13/4

7/3 * 13/4

=91/12

=7 7/12

4 0

3 years ago