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zloy xaker [14]
3 years ago
15

Isabelle went for a hike on Wednesday at camp. The hike took 2 hours and 10 minutes. As soon as she got back, Isabelle played vo

lleyball for 1 hour and 55 minutes. It was 11:15 A.M. When Isabelle finished playing volleyball. What time did Isabelle start her hike?
Mathematics
1 answer:
dexar [7]3 years ago
5 0

Answer: 5:10 A.M.

Step-by-step explanation:

First find the total time that Isabelle spent playing volleyball and hiking.

= 2 hours and 10 minutes + 1 hour and 55 minutes

= 4 hours and 5 minutes

If she finished both activities at 11:15 am, the time she started was:

= 11:15 - 4 hours 5 minutes

= 5:10 A.M.

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Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
3 years ago
What do u notice to this picture?
trasher [3.6K]

Answer:

The picture has a pattern. The pattern in this picture is that each time 4 corners are added. You can also look at this as it adds 4 each time or as the equation. Y=5+4x. Y being The amount of cubes in the equation

3 0
3 years ago
class A has 13 pupils and class b has 28 pupils both classes sit the same maths test the mean score for class A is 23 the mean s
Wittaler [7]

Answer:

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Step-by-step explanation:

Class A total= 23 x 13= 299

Clas B total= 57 x 28= 1596

total score= 299 + 1596 = 1895

total mean= 1895 ÷ (13+28) = 1895 ÷ 41

                 = 46.22

7 0
2 years ago
(3,7) Quadrant where the point is located
AleksandrR [38]
Since both values are positive, it is in quadrant 1
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A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the
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Answer:7043.82

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3 years ago
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