Which of the following is a solution to the equation x2 + 25x = 0

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area

aniked [119]

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

$A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)$

Here, (a) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

$A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2$

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

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3 0

2 years ago

At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. What is the constant of proportionali

Contact [7]

Answer:

The answer is most likely 5 shrimp eats 5 grams of food im one day,

Step-by-step explanation:

At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. What is the constant of proportionality and what does it tell us about the situation?

So, We know the shrimp is fed 1/5 gram of food each feeding, And we know the shrimp is fed 3 times each day.

Now, We need to answer the question, What is the constant of proportionality and what does it tell us about the situation?

Then, That means '5, shrimp eats 5 grams of food in one day ' is correct.

6 0

3 years ago

Is the expression 6(1 + m) equal to 6 + 6m? Why or why not? How do you know?

lesya692 [45]

Answer:

Yes, they are equal because of distributive property

Step-by-step explanation:

6(1 + m) = 6 + 6m

3 0

3 years ago

What is the derivative of this

skelet666 [1.2K]

$\bf r(x)=\cfrac{3x-2}{2x+5}\implies \cfrac{dr}{dx}=\stackrel{quotient~rule}{\cfrac{3(2x+5)~~-~~(3x-2)2}{(2x+5)^2}}
\\\\\\
\cfrac{dr}{dx}=\cfrac{\underline{6x}+15\underline{-6x}+4}{(2x+5)^2}\implies \cfrac{dr}{dx}=\cfrac{19}{(2x+5)^2}$

7 0

3 years ago

The graph shows the dilation of ΔABC with the origin as its center. Which rule describes this transformation? A) (x, y) → (2x, 2

podryga [215]

Note: Since, you have not added the graph. So, I will give you a general overview of the concept of dilation, the understanding of which will make you clear your concept.

Step-by-step explanation:

We know that a dilation is the kind of transformation which produces an image which has the same shape as the original object, but having a different size.

Here are some key factors regarding dilation:

Enlargement occurs when a dilation does create a larger image.

Reduction occurs when a dilation does create a smaller image.

A dilation shrinks or stretches the original object.
If the scale factor > 1, the image will be a stretch (enlargement)
If the scale factor is between 0 and 1, the image will be shrunk (reduction)
If the scale factor = 1, the original object and the image will be congruent

Here is the impact of dilation when (x, y) → (2x, 2y):

Dilation with scale factor 2, will have the rule as (x, y) → (2x, 2y). The image will be a stretch (enlargement) as the scale factor > 1.
The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 2.

For example, the coordinates of the image of a point A(4, 8) will be A'(2×4, 2×8) or A'(8, 16) after the dilation of scale 2 at the origin.

Here is the impact of dilation when (x, y) → (0.5x, 0.5y):

Dilation with scale factor 0.5, will have the rule as (x, y) → (0.5x, 0.5y). The image will be shrunk (reduction) as the scale factor < 1.
The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 0.5.

For example, the coordinates of the image of a point A(4, 8) will be A'(0.5×4, 0.5×8) or A'(2, 4) after the dilation of scale 0.5 at the origin.

Keywords: dilation, transformation, enlargement, reduction

Learn more about dilation from brainly.com/question/13846651

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8 0

3 years ago