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3 years ago

A triangle with a perimeter of 63 feet has side lengths in the extended ratio of 6:7:8. find the side lengths of the triangle

1 answer:

3 0

Hey there!

First, you want to add together the numbers in the extended ratio. 6 + 7 + 8 = 21. This helps because you're looking to find how much greater the triangle is than the ratio.

So now, since you have the total "perimeter" of a triangle with sides of that ratio, just divide 63 by 21 to find how many times that ratio fits into this triangle.

63 / 21 = 3

So you now know that if you multiply all the parts of that ratio by 3, it'll get the side lengths of the triangle with a perimeter of 63 feet.

6 * 3 : 7 * 3 : 8 * 3
= 18:21:24

So the side lengths would be 18 feet, 21 feet, and 24 feet.

To check, I would add all the sides together to see if it equals 63 feet:

18 + 21 + 24 = 63

So your answer is 63.

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What is the ANSWER and REMAINDER of 2^63 divided by 5

labwork [276]

Notice how 2^2 = 4 is one short of 5, so this means we can say 4/5 = 0 remainder 4 or we can write that "remainder 4" as "remainder -1" to say the same basic thing

Using modulus arithmetic, we can say...

2^2 = 4 = -1 (mod 5)

(2^2)^31 = (-1)^31 = -1 (mod 5)

2*(2^2)^31 = 2*(-1) (mod 5)

2^63 = -2 = 3 (mod 5)

-------------------------------------------

So the remainder of 2^63 divided by 5 is the value 3

Answer: 3

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3 years ago

A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice th

STatiana [176]

Answer:

The equation for the curve is:

$f(x) = 7*e^{2*x}$

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

$f(x) = A*e^{k*x}$

Replacing that in the second equation, we get:

$k*A*e^{k*x} = 2*A*e^{k*x}$

From that equation, we can conclude that k = 2

Then:

$f(x) = A*e^{2*x}$

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

$f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A$

Then we can conclude that the equation for the curve is:

$f(x) = 7*e^{2*x}$

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3 years ago

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sesenic [268]

I think it's C.10y^8 hope this helps

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