Find the value of x. If your answer is not an integer express it in simplest radical form.

Santos walks 2 kilometers south and then a certain number of kilometers east. He ends 5 kilometers away from his starting positi

IgorLugansk [536]

Answer:

$\sqrt{21}\ km$ or $4.58\ km$

Step-by-step explanation:

we know that

Applying Pythagoras' Theorem, calculate how many kilometers eastward Santos walked

so

Let

x----> quantity of kilometers eastward that Santos walked

$x^{2}=5^{2}-2^{2}$

$x^{2}=21$

$x=\sqrt{21}\ km$ ----> exact value

$\sqrt{21}=4.58\ km$ -----> approximate value

6 0

3 years ago

Read 2 more answers

Gobe weighs 53.6 kg. he wears shoes which weigh 450 gm and carries a school bag weighing 4.5 kg. if he stands on the scales in h

-Dominant- [34]

Answer:

The key to this question is converting all the mass units to the same unit and adding them all up.

The only value that isn't consistent with the other units is 450 gm or grams.

Recall that 1 gram is equal to 0.001 kilo grams. So if you want to convert grams to kilograms you would multiply that amount by 0.001 or 1/1000

$450gm * \frac{1}{1000} = 0.45kg$

Now let's add up all the masses.

$53.6kg + 0.45kg + 4.5kg = 58.55 kg\\$

(Now a few footnotes here, that I considered but wasn't sure about. The answer asks for weight, but you're only given mass to work with. That would be fine, if the question asked you to convert it to SI weight units like Newtons, but there's no mention of that. And also I'm not sure if the question requires significant digits. But I'll continue the answer if you think so)

To convert this into weight in Newtons, multiply by 9.81 m/s^2

$58.55kg*9.81m/s^2 = 574.3755 N\\\\= 5.7 * 10^2 N$

6 0

3 years ago

Find the volume of the given project in order to determine the number of feet of concrete needed. round answers to the nearest w

Studentka2010 [4]

The answer to this question is:

<span>Find the volume of the given project in order to determine the number of feet of concrete needed. round answers to the nearest whole number when necessary. a driveway that is 30 feet long, 18 feet wide, and 4 inches thick.
</span><span>"180 cubic ft"

Hoped this helped, Psan8313
Your Welcome :)</span>

8 0

3 years ago

Silver scooter finds that it costs $300 to produce each scooter and the fixed costs are $750. The price is given by p=900-x, whe

Nady [450]

Cost = 300 x + 750 , where x is the number of the scooters;
Price = 900 - x
Profit = x ( 900 - x ) - ( 300 x + 750 ) =
= 900 x - x² - 300 x - 750 = - x² + 600 x - 750
d (Profit) = - 2 x + 600
- 2 x + 600 = 0
x = 600 : 2
x = 300
The company must produce 300 scooters to maximize the profit.
The maximum profit is:
- 300² + 600 · 300 - 750 = $89,250

5 0

3 years ago

Which expression is equivalent to -9x^-1y^-9/-15x^5/y^3? Assume x=0,y=0

Juliette [100K]

Answer:

B

Step-by-step explanation:

8 0

3 years ago