Ask question

Ask question

All categories

Scorpion4ik [409]

2 years ago

13

The size of a computer monitor is usually given by the length of its diagonal. A monitor's aspect ratio is the ratio of its widt

h to its height. This monitor has a diagonal length of 27 inches and an aspect ratio of 16:9. Using ratios and the Pythagorean Theorem the approximate width is 23.5 inches and the height is inches.

1 answer:

densk [106]2 years ago

5 0

The length and width of the computer monitor is 23.36 inches

and 13.14 inches.

According to the given statement

we have given that

The length of diagonal of rectangular monitor = 27 inches

The length to width ratio is 16:9

So , Let the Length of monitor = 16x

and The Width of monitor = 9x

And we have to find the length and width of the computer monitor.

So, For this purpose,

From Pythagoras theorem

(Diagonal)² = Length² + width²

Put the values in it and then

27² = (16x)² + (9x)²

729 = 256x² + 81x²

After solving we get

337x² = 729

So, x² = 2.16

∴ x = = 1.46 inches

So, The length = 16x = 23.36 inches

And The width = 9x = 13.14 inches.

Hence, The length and width of the computer monitor is 23.36 inches

and 13.14 inches.

Learn more about Pythagoras theorem here brainly.com/question/2437195

#SPJ4

You might be interested in

The equation p(t) = 1.e represents a

zvonat [6]

Answer:

(b), (d) and (e)

Step-by-step explanation:

Given

$p(t) = 1 * e^t$

See attachment for $y = p(t)$

Required

Select true statements from the given options

(a) $\ln(30)$ = days the bacteria reaches 30000

We have:

$p(t) = 1 * e^t$

In this case:

$t = \ln(30)$ and $p(t) = 30000$

So, we have:

$30000 = 1 * e^{\ln(30)}$

$30000 = e^{\ln(30)}$

Using a calculator, we have:

$e^{\ln(30)} = 30$

So:

$30000 = 30$

The above equation is false.

(a) is not true

(b) The graph shows that $\ln(20) \approx 3$

We have:

$p(t) = 1 * e^t$

Let t = 3

So;

$p(3) = 1 * e^3$

From the graph, $p(3) = 20$

So:

$20 = 1 * e^3$

$20 = e^3$

Take natural logarithm of both sides

$\ln(20) = \ln(e^3)$

This gives:

$\ln(20) = 3$

(b) is true

(c) $\ln(t) = y$ is the logarithm form of $y = e^t$

We have:

$y = e^t$

Take natural logarithm of both sides

$\ln(y) = \ln(e^t)$

This gives:

$\ln(y) = t$

$\ln(y) = t$ $\ne$ $\ln(t) = y$

(c) is false

(d) $e^4 > 50$ and $\ln(50) < 4$

From the graph, we have:

$e^4 = 54$ --- rough readings

This implies that:

$e^4 > 50$ is true

Because $54 > 50$

Take natural logarithm of both sides

$\ln(54) > \ln(50)$

Rewrite as:

$\ln(50) < \ln(54)$

We have:

$e^4 = 54$

Take natural logarithm of both sides

$\ln(e^4) = \ln(54)$

$4 = \ln(54)$

$\ln(54) = 4$

Substitute $\ln(54) = 4$ in $\ln(50) < \ln(54)$

$\ln(50) < 4$

(d) is true

(e) The graph shows that $10 \approx \ln(2.3)$

We have:

$p(t) = 1 * e^t$

Let t = 2.3

So;

$p(2.3) = 1 * e^{2.3}$

From the graph,

$p(2.3) = 10$ ---- rough readings

So:

$10 = 1 * e^{2.3}$

$10 = e^{2.3}$

Take natural logarithm of both sides

$\ln(10) = \ln(e^{2.3})$

This gives:

$\ln(10) = 2.3$

(e) is true

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%7B%5Chuge%7B%5Cboxed%7B%7B%5Cgreen%7B1%20%7B%7D%5E%7B2%7D%20%20%2B%203%20%7B%7D%5E%7B2%7D%20%

Mnenie [13.5K]

$\huge \boxed{Answer \hookleftarrow}$

=》1² + 3²

=》1 + 9

=》10

7 0

3 years ago

Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia

natali 33 [55]

Julia= 24 mph, Katie=32 mph.

Julia rides 8 mph faster than Katie

8 0

3 years ago

Read 2 more answers

A helicopter hovers 1450 feet above a small island. The figure shows that the angle of depression from the helicopter to point P

puteri [66]

Answer:

1668 feet.

Step-by-step explanation:

We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.

If the distance required is x (adj side) we have:

tan 41 = opp/adj

tan 41 = 1450/x

x = 1450 / tan 41

= 1668.03

5 0

3 years ago

All I need is the Linear Equation. I can’t figure it out. Thanks!

Vika [28.1K]

Answer:

for example 2x + 5=15

first thing collect the like term

2x=15-5

=10

2x=10

divide bothside by 2

x=10\2

x=5

4 0

3 years ago