what is the volume of an area? what is a polynomial?

Answers

Answer 1

Answer: First off, there can't be a volume of an area.
A polynomial is basically a equation that has 2 or more terms that have to be algebraic.

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At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top of the tree to the end of the shadow is x+1 meters, what is the height , x of the tree ?

Answers

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of $x-49$ meters and the distance from the top of the tree to the end of the shadow is $x+1$ meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

$x^(2)+(x-49)^(2)=(x+1)^(2)$

Expanding, we get,

$2 x^(2)-98 x+2401=x^(2)+2 x+1$

$2 x^(2)-98 x+2400=x^(2)+2 x$

$2 x^(2)-100 x+2400=x^(2)$

$x^(2)-100 x+2400=0$

Solving the equation using the quadratic formula $x=\frac{-b \pm \sqrt{b^(2)-4 a c}}{2 a}$ , we get,

$x=\frac{-(-100)\pm\sqrt{(-100)^(2)-4 \cdot 1 \cdot 2400}}{2 \cdot 1}$

Simplifying, we have,

$x=(100\pm√(10000-9600))/(2)$

$x=(100\pm√(400))/(2)$

$x=\frac{100\pm{20}}{2}$

Thus,

$x=(100+20)/(2) \nx=(120)/(2) \nx=60$ and $x=(100-20)/(2) \nx=(80)/(2) \nx=40$

where the value $x=40$ is not possible because substituting the value $x=40$ in $x-49$ results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

1. When I use line segments to connect the corresponding points of a pre-image and the image in atranslation, the line segments are
because

Answers

The translation moves each point on the pre-image the same distance

horizontally and vertically to location of the image.

The completed paragraph is; When I use line segments to connect the

corresponding points of a pre-image and the image in a translation, the line

segments are parallel, because, their slope (ratio of Rise to Run) are equal.

Reasons:

Connecting the corresponding points of a pre-image and the formed

image in a translation transformation with line segments give lines that are

parallel to each other, given that the Rise (change in the y-value) and Run

(change in the x-values) are equal.

The translation between two points are $\mathbf{T_((\Delta x, \ \Delta y))}$

$\mathrm{The \ slope \ between \ the \ points \ is} \ (\Delta y)/(\Delta x)$

Therefore, the connecting lines have the same slope and are therefore,

parallel.

Learn more here;

brainly.com/question/18202376

Answer:

The segment connecting two corresponding points on the image and pre-image is a perpendicular bisector, so the line of reflection bisects the segment and the segment is perpendicular to the line of reflection, or intersects the line at a 90 degree angle. ... A transformation in which the image and pre-image are congruent.

The theoretical probability of rolling a number greater than 2 on a standard number cube is 5/6. True or False

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Answer:

false- its 4/6

Step-by-step explanation:

A male lion weighs about 400 pounds how many tons would 15 Lions weigh

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I think 15 lions in tons would way 3 tons. 400 pounds= 0.2 tons. 0.2* 15= 3

Help me pls this is 1/4 questions pls help i give brainliest if right

Answers

Answer:Jon lost a total of 3 kilograms in these 3 months.

Step-by-step explanation:

Weight that Jon gained in December = 2.2 kilograms

Weight that Jon lost in January = 1.5 kilograms

Weight that Jon lost in February = 3.7 kilograms

Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

So, total weight Jon lost = 1.5 + 3.7 = 5.2 kilograms

Thus,

Total change in Jon's Weight = 2.2 - 5.2 = -3.0 kilograms

This shows that Jon lost a total of 3 kilograms in these 3 months.

Conclusion:

The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

Step-by-step explanation:

It A as 1.5 and 3.7 are negative

In how many years, will an amount double itself, if the simple interest is calculated at the rate of 10% p.a.?