Ask question

Ask question

All categories

3 years ago

8

your distance from lightning varies directly with the time it takesYou to hear thunder. If you hear the thunder 10 seconds after

you see the lightning, you are about 2 miles from the lighting. Estimate how many seconds it will take for the thunder to travel distance of 4 miles.

1 answer:

Nuetrik [128]3 years ago

5 0

Answer:

20 seconds

Step-by-step explanation:

10 sec = 2 miles

simplified means 5 secs per 1 mile,

1 mile = 5 seconds

so,

4 miles = 20 seconds

You might be interested in

Simplify LaTeX: \Large\frac{-4^{6} \cdot 4^{2}}{4^{4}}

Oksanka [162]

⇨ The value of this <u>simplified expression</u> = -4096/1 or -4096.

<h3> </h3>

To solve this expression, just multiply the power base by how many times indicate the exponent, and then divide the numerator and denominator of the fraction by the same number.

Power or potentiation is a multiplication in equal factors, where there are <em>terms responsible</em> for obtaining the final result. An potency is given by $\large \sf a^{n}.$ The terms of a power are:

<h3> </h3>

Base
Exponent
equal factors
power

<h3> </h3>

✏️ <u>Resolution/Answer</u>:

$\\ \large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=\\\\$

Multiply the powers of the numbers at numerator of the fraction, with the base <em>being multiplied by how many times</em> to indicate the exponent.

$\\\large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4\cdot4}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=\\\\$

<em>Multiply </em>the power at denominator of the fraction:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4\cdot4}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=\\\\$

<em>Multiply </em>the numerator numbers together:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=$

$\large \sf \dfrac{-16\cdot16\cdot 256 }{16}=$

$\large \sf \dfrac{-256\cdot 256 }{16}=$

$\large \sf \dfrac{- 65536 }{16}=\\\\$

Simplify the fraction by number 16:

$\\\large \sf \dfrac{- 65536 }{16}=$

$\large \sf \dfrac{- 65536 \div16}{16\div16}=$

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}} \\\\\\$

So this expression in its simplified form = -4096/1 or -4096.

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}}\\\\$

★ Hope this helps! ❤️

6 0

2 years ago

The answer of this question

Furkat [3]

Answer:

A≈380.13m² so B

Step-by-step explanation:

A=πr^2

Hope This Helps! Have A Nice Day!!

3 0

2 years ago

Read 2 more answers

8th grade math help please (will give brainliest and thanks)

kari74 [83]

Pythagorean Theorem
Height = 3
Length = 5
Hypotenuse^2 = 3^3 + 5^2
Hypotenuse^2 = 9 + 25
Hypotenuse^2 = 34
Line CD = sq root(34) = <span> <span> <span> 5.8309518948 </span> </span> </span>

7 0

3 years ago

Read 2 more answers

A cereal company puts a minimum of 23 ounces and a maximum of 27 ounces of cereal

Grace [21]

Answer:

Step-by-step explanation:

What are some reasons that the international system uses metric units and not the English system used in the United States?

6 0

2 years ago

7.7.4 Practice: Modeling: Similarity Theorems will give brainliest

Nimfa-mama [501]

Similar triangles may or may not be congruent

The height of the peak is 72 feet
The triangles are similar by AA similarity postulate

<h3>How to determine the similarity statement</h3>

First, we determine the height of the peak using the following equivalent ratios

P B : B M = T F : F M

So, we have:

$PB : 20ft= 6ft : 1ft\ 8in$

Express the units in inches

$PB : 240in= 72in: 20in$

Express as fractions

$\frac{PB}{240} = \frac{72}{20}$

Multiply both sides by 240

$PB = \frac{72 * 240}{20}$

$PB = 864$

Express as feet

$PB = 72 feet$

So, the height of the peak is 72 feet

The ratio also means that the triangles are similar by AA similarity postulate

Read more about similar triangles at:

brainly.com/question/14285697

5 0

1 year ago