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3 years ago

A TV is 16 inches tall and 14 inches wide. Calculate the screen's diagonal length. Round to the nearest whole number.

Mathematics

1 answer:

telo118 [61]3 years ago

8 0

Answer:

Step-by-step explanation:

You were close to de answer but you rounded in a wrong way

If we calculate <em> $\sqrt{16^{2} + 14^{2}}$ </em>we get<em> 21.2602916255</em>

We need to round to the nearest whole number, it means that we have we only have two options: 21 or 22

We need to remember the rounding rules:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down

We see that 1 is followed by 2, it means that we have to round the number down, so our answer is 21

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the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

inna [77]

Answer:

$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

$6 = \frac{1}{2}b(b-4)$

Now we can work towards solving. Let's get simplifying.

$12 = b(b-4)\\12 = b^2 - 4b\\$

bring everything to one side so we can make a quadratic and factor:

$0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2$

We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.

$h = (6) - 4 = 2$

We find that $h=2$

7 0

2 years ago

Find the measure of one interior angle of a regular 14-gon.

lozanna [386]

$\bf \textit{sum of all interior angles in a polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\stackrel{polygon}{sides}\\ \theta = angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n = 14\\ \end{cases}\implies 14\theta =180(14-2) \\\\\\ 14\theta =180(12)\implies 14\theta =2160\implies \theta =\cfrac{2160}{14}\implies \theta \approx 154.3^o$

8 0

3 years ago

p varies directly as q and inversely as r. One set of values is p = 5, q = 1, and r = 2. Find p when q = 10 and r = 50.

Alexeev081 [22]

P = kq/r

5 = k*1/2
k = 2*5 = 10

p = 5*10/50 = 1
P is 1.

Hope it helps!

7 0

3 years ago

Select Yes or No to indicate whether each value of x is a solution to the given equation.

AlexFokin [52]

Answer:

x = -2 YES

x = 1 NO

x = 2 YES

Step-by-step explanation:

Hope this helps <3

5 0

3 years ago

Ana sketched the graphs of f(x)=x^2and g(x)=x^2-6 as shown below. Did she graph both of the functions correctly? Explain how you

Ksivusya [100]

Answer:

No. See below.

Step-by-step explanation:

Note that the term x^2 is common to both functions. g(x) has the same graph as does f(x), except that the graph of g(x) is that of f(x) translated 6 units DOWNward. Ana mistakenly translated the graph of f(x) UPward.

8 0

3 years ago