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Yuliya22 [10]
2 years ago
6

Please help ASAP plz

Mathematics
1 answer:
frutty [35]2 years ago
8 0
I think it’s 21 units
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Simplify the radical expression.
tresset_1 [31]

To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of \sqrt{a} + b would be\sqrt{a} - b.


Applying that information to our fraction shown here, the conjugate of the denominator would be \sqrt{3} - 4. We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.


\Big(\dfrac{1}{\sqrt{3} + 4}\Big)\Big(\dfrac{\sqrt{3} - 4}{\sqrt{3} - 4}\Big)

\dfrac{\sqrt{3} - 4}{3 - 16}

\dfrac{4 - \sqrt{3}}{13}


Our answer is \boxed{\dfrac{4 - \sqrt{3}}{13}}.


5 0
3 years ago
A boat traveled 308 miles each way downstream and back. The trip downstream took 11 hours. The trip back took 22 hours. Find the
photoshop1234 [79]

Answer:

speed of boat is 12 miles per hour and the speed of current is 9 miles per hour

Step-by-step explanation:

8 0
3 years ago
Please help! i don't know what to do, my formulas are not working for me. If anyone could please help i would really appreciate
Burka [1]

Answer:

  • The radius is r = 3 in,
  • The height is h = 4 in

<u>The area of the base:</u>

  • A(b) = πr² = π(3²) = 9π in²

<u>The circumference of the base:</u>

  • C = 2πr = 2π(3) = 6π in

<u>The area of the lateral surface:</u>

  • A(l) = Ch = 6π(4) = 24π in²

<u>The surface area:</u>

  • S = 2A(b) + A(l) = 2*9π + 24π = 42π in²
6 0
2 years ago
Which of the following correlation coefficients would represent the strongest correlation? -0.9 -0.16 0.04 .78
kolezko [41]

Answer:

0.4 would represent the strongest correlation.

Step-by-step explanation:

Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation

8 0
3 years ago
10 + 10 =20<br> the answer is 20
Mice21 [21]

Answer:

YEP! YOURE CORRECT!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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