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FromTheMoon [43]
3 years ago
8

Julian jogs 222 kilometers east, 444 kilometers north, and then 777 kilometers west. how far is julian from his starting positio

n, to the nearest tenth of a kilometer?
Mathematics
1 answer:
lawyer [7]3 years ago
7 0
If you would like to know how far is Julian from his starting position, you can calculate this using the following steps:

First, you have to make a right triangle, where the hypotenuse of this triangle will actually be the distance we are looking for. The distances of the other two sides are 444 kilometers, and 777 kilometers - 222 kilometers; to be exact: 444 kilometers and 555 kilometers.

The distance we are interested in ... d:
d^2 = 444^2 + 555^2
d^2 = 197136 + 308025 = 505161
d = sqrt(505161)
d = <span>710.7 kilometers
</span>
The correct result would be <span>710.7 kilometers.</span>
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Solve for x. round to the nearest hundredth if necessary.
iris [78.8K]

Answer: x=11.47

Step-by-step explanation:

Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.

Therefore, you need to remember the following identity:

cos\alpha=\frac{adjacent}{hypotenuse}

Then, knowing that:

\alpha=55\°\\adjacent=x\\hypotenuse=20

 You need to substitute these values intocos\alpha=\frac{adjacent}{hypotenuse}:

 cos(55\°)=\frac{x}{20}

Now, you can solve for "x":

20*cos(55\°)=x\\x=11.471

Rounded to the nearest hundreth:

x=11.47

6 0
3 years ago
Heights of adult males are known to have a normal distribution. a researcher claims to have randomly selected adult males and me
8090 [49]

Answer:

The sum of the probabilities is greater than 100%; and the distribution is too uniform to be a normal distribution.

Step-by-step explanation:

The sum of the probabilities of a distribution should be 100%.  When you add the probabilities of this distribution together, you have

22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121

This is more than 100%, which is a flaw with the results.

A normal distribution is a bell-shaped distribution.  Graphing the probabilities for this distribution, we would have a bar up to 22; a bar to 24; a bar to 21; a bar to 26; and bar to 28.

The bars would not create a bell-shaped curve; thus this is not a normal distribution.

3 0
3 years ago
Read 2 more answers
Which graph represents an exponential function?
Anettt [7]
An exponential function has a graph that is a smooth curve; it either increases at an ever increasing rate or decreases at an ever increasing rate. The only graph that fits these characteristics is the first one.
3 0
3 years ago
Pls help will mark brainliest if right !
Zanzabum

Answer:

some

some

some

some

no

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
UNIT 8
DochEvi [55]

For the first figure the Circumference of the circle is: 5.3\ip\pi cm.

For the second figure the Circumference of the circle is: 80\ip\pi inch.

<h3>What is Circumference of the Circle?</h3>

The circumference of a circle is defined as the linear distance around it.

i.e.,  C= 2 *\pi*r

  • For First Figure,

Circumference of the circle:

= 2 *\pi*r

= 2 *\pi* \frac{5.3}{2}

= 2 *\pi*2.65

Circumference= 5.3*\pi cm

  • For the second Figure,

Circumference = 2 *\pi*r

= 2 *\pi*40

 = 80 *\pi

Circumference =80\pi \;inch

For the first figure the Circumference of the circle is: 5.3\ip\pi cm.

For the second figure the Circumference of the circle is: 80\ip\pi inch.

Learn more about circumference of circle here:

brainly.com/question/23239017

#SPJ1

4 0
2 years ago
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