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Phantasy [73]
3 years ago
6

It took kelly 3 5/7 hours to fly from city A to City B, then it took her another 7 3/5 hours to fly from city B to City C. Kelly

flew a total of ......??

Mathematics
1 answer:
saul85 [17]3 years ago
4 0
Kelly flew a total of 11 11/35 hours
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The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

s^2+(2s+4)^2=(2s+6)^2

And of course we have to expand. Doing that will leave us with

s^2+4s^2+8s+8s+16=4s^2+12s+12s+36

Combining like terms we have

5s^2+16s+16=4s^2+24s+36

Our job now is to get everything on one side of the equals sign and solve for s

s^2-8s-20=0

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0
3 years ago
Si al cuadrado de un numero se le suma 11 se obtiene como resultado 92 ¿QUE NÚMERO ES?
Ivan

Answer: Nueve

Step-by-step explanation: Si cuadras el número nueve obtendrás ochenta y uno. Agregue once a eso y obtendrá noventa y uno.

¿Brainliest por favor?

7 0
3 years ago
Estimate √97.5 / 1.96
evablogger [386]

Answer: 5


Step-by-step explanation:

 1. You have the following expression given in the problem above:

\frac{\sqrt{97.5}}{1.96}

2. You can estimate the result by rounding the numerator and the denominator.

3. As you can see, you can round up 97.5 to 100.

4. Then, you can round up 1.96 to 2.

5. Therefore, you have:

\frac{\sqrt{100}}{2}

\frac{10}{2}=5

6. Therefore, the result is 5.

3 0
3 years ago
Find the reference angle for 517°<br> a.23°<br> c.113°<br> b.157°<br> d.67°
MAXImum [283]
Should be 67 or 113 if not then it’s probably 157
6 0
3 years ago
Read 2 more answers
What is the answer?<br><br> (Please help)
k0ka [10]

\dfrac{bc}{b}=\dfrac{b}{b}\cdot\dfrac{1}{c}=1\cdot\dfrac{1}{c}=\boxed{\dfrac{1}{c}}\\\\\dfrac{\not b^1}{\not b_1c}=\dfrac{1}{1c}=\boxed{\dfrac{1}{c}}

8 0
3 years ago
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