A box is filled with 11 blue cards, 2 green cards, and 7 brown cards. A card is chosen at random from the box. What is the proba
1 answer:
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Answer:
180
Step-by-step explanation:
Answer:
No, Yes, Yes
Step-by-step explanation:
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2y = 3 - 5x
y = (3-5x) / 2
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2P = w + 8
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by = c - ax
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To understand the distance formula, you first need to understand the Pythagorean Theorem. For a refresher, the theorem states that the square of the legs of a right triangle is equal to the the square of its hypotenuse (the side opposite the right angle), or in symbols:
, where a and b are the lengths of the legs, and c is the length of the hypotenuse. In the context of the x-y plane, the legs of the triangle correspond to separate x and y values on the plane, and the hypotenuse corresponds to a straight line between two points on that plane.
To find the distance between the points you've listed, (2√5,4) and (1,2√3), we'll first need to find the "legs" of the triangle. To find the length of the x leg, we'll just need the distance between the x values of the points, which we find to be 2√5-1. We do the same for the y component, which ends up being 4-2√3. Now that we have our legs, we're ready to find the hypotenuse - or the distance.
Going back to Pythagorus's equation, we have:
where d, the hypotenuse of the triangle, means "distance."
To solve for d, we take the square root of both sides:
And from there, all that's left to do is solve the right side of the equation, which just ends up being rote calculation.
Edit: I'll go through the steps of that calculation here. We'll start by expanding each of the squared terms inside the radical:
Putting those values back under the radical:
Collecting constants:
If you wanted an exact answer, this messy-looking thing would be it, and you can verify those results on WolframAlpha if you'd like. If you want an approximation, just enter that expression in to the online calculator of your choice, and it should give out the value of approx. <span>3.51325.</span>
In general, if you want to solve for the distance between two points
and 
, the formula is:
To find the distance between the points you've listed, (2√5,4) and (1,2√3), we'll first need to find the "legs" of the triangle. To find the length of the x leg, we'll just need the distance between the x values of the points, which we find to be 2√5-1. We do the same for the y component, which ends up being 4-2√3. Now that we have our legs, we're ready to find the hypotenuse - or the distance.
Going back to Pythagorus's equation, we have:
where d, the hypotenuse of the triangle, means "distance."
To solve for d, we take the square root of both sides:
And from there, all that's left to do is solve the right side of the equation, which just ends up being rote calculation.
Edit: I'll go through the steps of that calculation here. We'll start by expanding each of the squared terms inside the radical:
Putting those values back under the radical:
Collecting constants:
If you wanted an exact answer, this messy-looking thing would be it, and you can verify those results on WolframAlpha if you'd like. If you want an approximation, just enter that expression in to the online calculator of your choice, and it should give out the value of approx. <span>3.51325.</span>
In general, if you want to solve for the distance between two points
Answer:
So he can travel a total of 90 miles
Step-by-step explanation:
Given:
Total he has to pay = $130
Per week cost = $94
Per mile cost = $0.40
To Find:
No of miles = ?
Solution:
The total he has to pay can be found out by the equation
Total = weekly cost + Miles cost
Now here
Miles cost = total no of miles traveled * per mile cost
This is due to the reason that he is travelling miles and we have to multiply it with it per mile cost to get the total miles cost
so
Let Total miles traveled be x then
Miles cost = $ 0.40 * x
Now we have
Total = weekly cost + Miles cost
Putting in the values we get
130 = 94 + 0.40 *x
subtracting 94 from both sides
130-94 = 94 + 0.40*x - 94
36 = 0.40*x
Dividing both sides by 0.4 we get
90 miles = x
or x= 90 miles
So he can travel a total of 90 miles