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fiasKO [112]
2 years ago
7

PLEASE ASSIST me in this geometry problem!!

Mathematics
2 answers:
My name is Ann [436]2 years ago
7 0

Answer:

Solution given:

B=12.56cm²

P=12.56cm

H=6cm

Surface area of cylinder=P*H+2B=100.48cm²

Volume=B*H=12.56*6=75.36cm³

SCORPION-xisa [38]2 years ago
3 0

<u>Given</u><u>:</u>

  • A figure of cylindrical shape
  • Radius = 2cm
  • Height = 6 cm

<u>To </u><u>figure </u><u>out </u><u>:</u>

  • Total surface area
  • Volume

<u>Solution</u><u> </u><u>:</u>

Note : Put the value of pi as 3.14

Volume = πr²h

  • 3.14 × 2² × 6
  • 3.14 × 4 × 6
  • 3.14 × 24
  • 75.36 cm³

Surface area = 2πrh + 2πr²

  • 2πr ( r + h )
  • 2 × 3.14 × 2 ( 2 + 6 )
  • 12.56 × 8
  • 100.48 cm²
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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
Can you help me please ​
alexira [117]

Answer:

Please check the explanation.

Step-by-step explanation:

Given that

|v|=38

Ф = 120°

<u>Finding the horizontal component</u>

The horizontal component can be obtained using the formula

Vx = |v| cos Ф

     = 38 cos 120°

     = 38 (-0.5)

      = -19

Thus, the  horizontal component is:

Vx = -19

<u>Finding the vertical component</u>

The vertical component can be obtained using the formula

Vy = |v| sin Ф

    = 38 sin 120°

    = 38 (0.86)

    = 32.68

Thus, the vertical component is:

Vy = -19

  • A vector 'v' with magnitude |v| and direction Ф can be written as:

v = |v| cos Ф i + |v| sin Ф j

As

|v|=38

Ф = 120°

Thus, the vector is

v = 38 cos 120° i + 38 sin 120° j

or

v = -19 i + 32.68 j

5 0
2 years ago
Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one pers
iogann1982 [59]

Answer:

  • 10 -- $10k to any one person
  • 20 -- $20k to all persons, total
  • 5 -- $5k for property damage

  all are <em>maximum</em> values

Step-by-step explanation:

Insurance contracts specify <em>maximum</em> payments, not <em>minimum</em> payments. The numbers mean ...

The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.

The 20 means it will pay a maximum of $20,000 total to people injured in one accident.

The 5 means that it will pay a maximum of $5,000 in property damage for one accident.

6 0
3 years ago
In ΔTUV, u = 41 cm, ∠T=85° and ∠U=9°. Find the length of t, to the nearest 10th of a centimeter.
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
Find two consecutive even integers whose product is 288
Trava [24]
So I’m going to solve this using algebra OK?
So what you do is take the first integer as X.
Then we know that x(the first number) + X+2(the second number) is 288 right?
So we solve that saying x+x+2=288.
So 2X+2=288
2X+2-2=288-2 right?
So 2X=286.
So x is 286/2 right?
So x is 143.
Now the first number is 143 right?
So the second number should be 143+2 so 145.
I know they are not even but these are the solutions.
I don’t think there are any consecutive even numbers that add up to 288
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3 years ago
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