Please answer ASAP!

Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standi

torisob [31]

Andrew can reach a maximum of $24.6ft$ high up the wall.

The right-angled triangle formed can be solved using the $sine$ ratio. that is

$sin(72^\circ})=\dfrac{h}{20}$

where $h$ is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for $h$ , we get

$0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft$

Since Andrew can reach an extra $5ft$ above the point where the ladder rests against the wall, the maximum height Andrew can paint is

$(19.632+5)ft=24.632ft\\\\\approx24.6ft$

Another solved word problem on trigonometry can be found here: brainly.com/question/12146092

3 0

3 years ago

Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x2/(x4 +

ella [17]

Answer:

Given the function: $f(x) =\frac{x^2}{x^4+16}$

A geometric series is of the form of :

$\sum_{n=0}^{\infty} ar^n$

Now, rewrite the given function in the form of $\frac{a}{1-r}$ so that we can express the representation as a geometric series.

$\frac{x^2}{x^4+16}$

Now, divide numerator and denominator by $x^4$ we get;

$\frac{\frac{1}{x^2}}{1+\frac{16}{x^4}}$ = $\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2}$

Therefore, we now depend on the geometric series which is;

$\frac{1}{1+x} =\sum_{n=0}^{\infty} (-1)^n x^n$

let $x \rightarrow x^2$ then,

$\frac{1}{1+x^2} =\sum_{n=0}^{\infty} (-1)^n x^{2n}$

to get the power series let $x \rightarrow \frac{4}{x^2}$

so,

$\frac{1}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (\frac{4}{x^2})^{2n}$

Multiply both side by $\frac{1}{x^2}$ we get;

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =\frac{1}{x^2} \cdot \sum_{n=0}^{\infty} (-1)^n (\frac{4}{x^2})^{2n}$

or

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =x^{-2} \cdot \sum_{n=0}^{\infty} (-1)^n (16)^n (x^{-2})^{2n}$

or

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n} \cdot x^{-2}$

Using $x^n \cdot x^m = x^{n+m}$

we have,

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n-2}$

therefore, the power series representation centered at x =0 for the given function is: $\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n-2}$

6 0

3 years ago

The weight (W) of an object is the product of its mass (m) in kilograms and g, the acceleration due to gravity in meters/second2

BARSIC [14]

Multiply each weight by the appropriate conversion factor:

9.8 m
(22.1 kg) * --------------- = 216.6 newtons
sec^2

Do the other problems in precisely the same way.

4 0

3 years ago

A rectangular box with a volume of 70 ft3 has a square base. find a function that models its surface area s in terms of the leng

Likurg_2 [28]

Visual of anykind please

4 0

4 years ago

Need help with this question thank you!

grandymaker [24]

Answer:

Y= 3/5-4

Step-by-step explanation:

What is slope-intercept form? Slope intercept form is an equation for graphing. It is y=mx+b. The "m" stands for the slope, or how much coordinates it takes to move to the next point. The "b" stands for the y-intercept, or where the line is perfectly on the y-line.

Step One: The first part of the equation is the slope, so let's figure that out. Since this one a graph, it is easy to tell the slope. The points are nicely marked, so we don't have to guess which points are visible. We are going up 3 jumps and then across 5 jumps. The slope is always "rise/run" where the "rise" is the y and "run" is x. So, the slope is 3/5x.

Step Two: For the last part, we need to know the y-intercept. It is clearly shown on the graph: -4. Because it is negative, we remove the plus sign because a plus with a negative is subtraction.

Step Three: We can combine both parts and that is the answer: y=3/5x-4.

5 0

3 years ago