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Tpy6a [65]
4 years ago
14

Need answers ASAP

Mathematics
1 answer:
andrew-mc [135]4 years ago
4 0
Data:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?

Formula:
V =  \pi *r^2*h

Solving:
V = \pi *r^2*h
V =  \pi *14^2*6
V =  \pi *196*6
\boxed{\boxed{V = 1176 \pi\:m^3}}\end{array}}\qquad\quad\checkmark
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4. Rationalize the denominator and simplify. 5+√5/8-√5
fomenos
\frac{5+ \sqrt{5} }{8- \sqrt{5} } =
 \frac{5+ \sqrt{5} }{8- \sqrt{5} } * \frac{8+\sqrt{5}}{8+\sqrt{5}} =
 \frac{(5+\sqrt{5})*(8+\sqrt{5})}{(8-\sqrt{5})*(8+\sqrt{5})} =
 \frac{40+5 \sqrt{5}+8 \sqrt{5}+( \sqrt{5})^2 }{64+8\sqrt{5}-8\sqrt{5}-( \sqrt{5})^2} =

\frac{40+13 \sqrt{5}+5 }{64-5} =
 \boxed{\frac{45+13 \sqrt{5} }{59} }
5 0
4 years ago
*This Question Has 3 Questions in it
olchik [2.2K]

Answer:

Ques 1: 7.85

Ques 2: both \sqrt{0.25} and -\sqrt{16} are rational.

Ques 3: 0.9

Step-by-step explanation:

Ques 1:

Solving the \sqrt{61.6}, we get 7.8485.

Rounding off to nearest hundredth, we see that next digit is 8, so we increase the previous digit by 1.

So, the answer to nearest hundredth is 7.85.

Ques 2:

\sqrt{0.25} and -\sqrt{16}to be checked  whether they are rational or irrational.

We know that \sqrt{16} is equal to 4.

-\sqrt{16} = -4 which is a rational value.

Let us solve \sqrt{0.25} now.

\sqrt{0.25} = \sqrt{\dfrac{25}{100}}\\\Rightarrow \dfrac{5}{10}

Which is a rational value.

So, both are rational.

Ques 3:

Simplify \sqrt{0.81}

0.81 can be written as \frac{81}{100} in rational form.

Now, taking the square root, we need to take the square root for both Numerator and Denominator and then we can divide to get the desired square root.

\sqrt{0.81} = \sqrt{\dfrac{81}{100}}\\\Rightarrow \dfrac{9}{10} = \bold{0.9}

So, the answers are:

Ques 1: 7.85

Ques 2: both \sqrt{0.25} and -\sqrt{16} are rational.

Ques 3: 0.9

4 0
3 years ago
Isosceles Triangles
Pepsi [2]

Answer:

considering angle a to 40

b and c.....= 50 both

4 0
3 years ago
Rewrite the expression using distributive property: 12x+18
hoa [83]
Rewriting this expression could result in: 6(2x + 3).
8 0
3 years ago
the perimeter of a triangle is 49cm.One side is 7cm longer than another side and 5cm shorter than the third side find sides
pogonyaev

<em>P = a + b + c = 49 cm</em>

<em>a = b + 7 => b = a - 7</em>

<em>a = c - 5 => c = a + 5</em>

<em>_____________________</em>

<em>a + (a - 7) + (a + 5) = 49</em>

<em>3a = 49 + 7 - 5</em>

<em>3a = 51 </em>

<em>a = 17 cm</em>

<em>b = 17 - 7 = 10 cm</em>

<em>c = 17 + 5 = 22 cm</em>

8 0
3 years ago
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