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4 years ago

One company makes inflatable swimming pools that come in four sizes of rectangular prisms.

Mathematics

1 answer:

Margaret [11]4 years ago

4 0

Answer:

L = 2W, and LW = 5000. Therefore 2W^2 = 5000, so W^2 = 2500. This means W=50 and L=100.

Step-by-step explanation:

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A person is standing on top of a six foot platform, looking down into a mirror. The person can see the top of the flagpole in th

Murljashka [212]

<h3>Answer: The flagpole is <u>16 feet tall</u></h3>

==========================================================

Explanation:

The small markings for the angles in the diagram help us see how the angles pair up and how those pairs are congruent.

The square angle markers indicate we have 90 degree angles (aka right angles). That's one pair of congruent angles.

The other pair are the angles marked with small curves. We don't need to worry about the angle measure of these. All we care about is we have a second congruent pair of angles.

Having 2 sets of congruent angles allows us to use the AA (angle angle) similarity theorem.

The similar triangles allow us to set up the proportion below and isolate x.

-------------------

Let's solve for x.

6/x = 4.5/12

6*12 = x*4.5

72 = 4.5x

4.5x = 72

x = 72/(4.5)

x = 16

The flagpole is 16 feet tall.

This is somewhere between a 1 and 2 story building in terms of height.

8 0

3 years ago

a doctor prescribes 30 units of a medication in 500 ml to be administered over 5 hours. How many drops per minute should be admi

Anna35 [415]

The answer is 83 1/3 per min

3 0

3 years ago

Read 2 more answers

Find tan , sin , and seco, where 0 is the angle shown in the figure.

kicyunya [14]

Answer:

tan(θ) = 5/3
sin(θ) = 5√34/34
sec(θ) = √34/3

Step-by-step explanation:

The hypotenuse is given by the Pythagorean theorem:

h = √(3² +5²) = √34

The trig functions are the ratios of sides:

Tan = Opposite/Adjacent

tan(θ) = 5/3

Sin = Opposite/Hypotenuse

sin(θ) = 5/√34 = (5/34)√34

Sec = Hypotenuse/Adjacent

sec(θ) = √34/3

3 0

4 years ago

Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) ha

prohojiy [21]

A. Both $f(x)$ and $g(x)$ have the <em>same</em> domain of $(9, +\infty)$ .

<h3>How to analyze similarities in two functions</h3>

In this question we must analyze the domain, range, x-intercepts and <em>increase</em> intervals:

<h3>Domain</h3>

$Dom \{f(x)\} = \mathbb{R}$

$Dom \{g(x)\} = \mathbb{R}$

Both functions are <em>continuous</em>.

<h3>Range</h3>

$Ran \left\{f(x)\right\} = (3.875, +\infty)$

$Ran \{g(x)\} = (-5, +\infty)$

<h3>x-Intercepts</h3>

$f(x):$ $(x,y) = \emptyset$

$g(x):$ $(x,y) = (2.322, 0)$

<h3>Increase intervals</h3>

$f(x):$ According to the graph, $f(x)$ increase over the interval of $(3.875, + \infty)$ .

$g(x) :$ According to the graph, $g(x)$ increase over the interval of $\mathbb{R}$

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. $\blacksquare$

<h3>Remark</h3>

The statement presents mistakes and is poorly formatted. Correct form is:

<em>Given a polynomial function </em> $f(x) = 2\cdot x^{2}-3\cdot x + 5$ <em> and an exponential function </em> $g(x) = 2^{x}-5$ <em>. What key features do </em> $f(x)$ <em> and </em> $g(x)$ <em> have in common? </em>

<em />

<em>A.</em><em> Both </em> $f(x)$ <em> and </em> $g(x)$ <em> have the same domain of </em> $(9, +\infty)$ <em>.</em>

<em>B.</em><em> Both </em> $f(x)$ <em> and </em> $g(x)$ <em> have the same range of </em> $(-\infty, 0]$ <em>.</em>

<em>C.</em><em> Both </em> $f(x)$ <em> and </em> $g(x)$ <em> have the same x-intercept of </em> $(2,0)$ <em>.</em>

<em>D.</em><em> Both </em> $f(x)$ <em> and </em> $g(x)$ <em> increase over the interval of </em> $(-4, +\infty)$ <em>.</em>

<em />

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372

4 0

2 years ago

A wallpaper salesman earns a base pay of $15,600 per year and a commission of 16% of all sales made. If he sold $25,400 worth of

den301095 [7]

19,664 try that because you take 25,400 and multiply it by 0.16 gets you 19,664

6 0

3 years ago

Read 2 more answers