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love history [14]

2 years ago

5

A racecar is traveling at a constant speed of 120 miles per hour. How many feet does it travel in 6 seconds? Remember that 1 mil

e is 5280 feet.

1 answer:

snow_tiger [21]2 years ago

5 0

Answer:

1056 ft

Step-by-step explanation:

We need to convert the units from miles per hour to feet per second:

recall that i mile = 5280 ft, and one hour is 3600 seconds, so we do the conversion of the 120 miles per hour speed as follows:

$120 \,\frac{mi}{h} = 120\,\frac{5280\,\,ft}{3600\,\,s} = \,176\,\,\frac{ft}{s}$

which means that the car cover 176 ft in one second. Therefore, in 6 seconds it will cover 6 times this:

distance = 176 * 6 = 1056 ft

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Calculate cos(480°) and sin(480°).

hram777 [196]

Answer:

$\cos(480^\circ)=-\dfrac{1}{2}$

$\sin(480^\circ)=\dfrac{\sqrt{3}}{2}$

Step-by-step explanation:

Calculate the value of trigonometry function.

$\cos(480^\circ)$ and $\sin(480^\circ)$

Split the angle between 0 to 90° using trigonometry formula.

$\Rightarrow \cos(360^\circ+120^\circ)$

$\Rightarrow \cos(120^\circ)$ $\because \cos(360+\theta)=\cos\theta$

$\Rightarrow \cos(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow -\cos(60^\circ)$ $\because \cos(180-\theta)=-\cos\theta$

$\Rightarrow -\dfrac{1}{2}$

Therefore, cos(480°) = -0.5

$\Rightarrow \sin(360^\circ+120^\circ)$

$\Rightarrow \sin(120^\circ)$ $\because \sin(360+\theta)=\sin\theta$

$\Rightarrow \sin(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow \sin(60^\circ)$ $\because \sin(180-\theta)=\sin\theta$

$\Rightarrow \dfrac{\sqrt{3}}{2}$

Therefore, sin(480°) = 0.866

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3 years ago

Which of the following lists is in order from smallest to largest?

Stells [14]

Answer:

The following list is in order from smallest to largest is $17\%,0.175,\frac{2}{11},\frac{1}{5}$

Step-by-step explanation:

Let the numbers be $\frac{2}{11},\frac{1}{5},17\%,0.175$

To find the list in order from smallest to largest:

$\frac{2}{11},\frac{1}{5},17\%,0.175$

Rewritting the above numbers as below

$0.18,0.5,\frac{17}{100},0.175$

$0.18,0.5,0.17,0.175$

Now arranging the numbers in order from smallest to largest

$0.17,0.175,0.18,0.5$

$\frac{17}{100},0.175,\frac{2}{11},\frac{1}{5}$

The arranged numbers can be written as

$17\%,0.175,\frac{2}{11},\frac{1}{5}$

The following list is the order from smallest to largest is $17\%,0.175,\frac{2}{11},\frac{1}{5}$

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3 years ago

HELP???? I'm offering Brainliest.

goldfiish [28.3K]

Answer:

Acellus, Eh? Answer Is Simple. 69%

Its 69 Because Thats the best number, and 69 is always the answer

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3 years ago

How can you recognize linear change from a graph, an equation, a table, or in a real world situation?

Stolb23 [73]

In linear change, the two variables keep increasing or decreasing at the same speed.

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2 years ago

When a customer wants pie for dessert, you cut whole pies into 7 equal slices. At the end of your shift, 3737 of a cherry pie, 2

matrenka [14]

the answer is 13/7 and here is the correct question

the answer is 13/7 and here is the correct questionwhen a customer wants pie for dessert you cut a whole pies into 7 equal slices...at the end of your shift 3/7 of. a cherry pie.2/7. of an apple pie.3/7 of a peach pie.and 5/7 of a blueberry pie remain...How much pie remains as a fraction of. a whole pie...

Answer:

13/7

Step-by-step explanation:

From the question, we have

3/7 of cherry pie

2/7 of apple pie

3/7 of peach pie

5/7 of blueberry pie

Now we have to add up all of these in order to get the total amount of pie

3/7 + 2/7 +3/7 +5/7

= (3+2+3+5)/7

=13/7

If expressed as a mixed fraction

= 1 6/7

In conclusion, 13/7 pie remains as a fraction of a whole.

4 0

2 years ago