All categories

3 years ago

720 seconds ( 1hour/60minutes)=12 hours

Mathematics

1 answer:

Vilka [71]3 years ago

6 0

What's the question here?

You might be interested in

Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!

Mariulka [41]

Answer:

6(2 + √3)

Step-by-step explanation:

Given : Rectangle GHIJ inscribed in a circle. GK⊥JH, GK = 6 cm and m∠GHJ=15°.

To find: Radius(KH) =?

Sol: As given in figure 1, Since GK⊥JH ∴ m∠GKH = 90° . Let GK = x cm.

Now, In ΔGKH,

$tan\Theta =\frac{perpendicular}{base}$

$tan\Theta =\frac{GK}{KH}$

$tan 15^{\circ} =\frac{6}{x}$

$2-\sqrt{3} =\frac{6}{x}$ (∵ tan 15° = 2 - √3)

$x = \frac{6}{2-\sqrt{3} }$

On rationalizing the above expression,

$x = \frac{6}{2-\sqrt{3} } \times \frac{2+\sqrt{3} }{2+\sqrt{3} } =\frac{6(2+\sqrt{3} )}{4-3}$

Therefore, radius of the circle (KH) = 6 (2+√3)

This is how to find the value of tan 15°

tan 15° = tan (45° -30°)

Now using,

$tan(A-B) = \frac{tanA-tanB}{1+tanA tanB}$

$tan(45^{\circ} - 30^{\circ}) = \frac{tan 45^{\circ}-tan30^{\circ}}{1+tan 45 tan30}$

$tan(45^{\circ} - 30^{\circ}) = \frac{1-\frac{1}{\sqrt{3}}}{1+1\times \frac{1}{\sqrt{3}}}=\frac{\sqrt{3}-1}{\sqrt{3}+1}$

On rationalizing,

$tan 15^{\circ} = \frac{\left (\sqrt{3}-1 \right )^{2}}{3-1} =\frac{4-2\sqrt{3}}{2}$

Taking 2 common from numerator,

tan 15° = 2 - √3

5 0

3 years ago

Read 2 more answers

What’s the answer??!?

Len [333]

Answer:

See answers below.

Step-by-step explanation:

For formula to find the volume of rectangular prism is given below:

$Volume\:=\:whl$

11. Putting the given values, we have:

$200=\left(2\frac{1}{2}\right)\left(h\right)\left(8\right)\\\\h=10$

$12.\:\:Volume=\left(8\frac{1}{2}\right)\left(4\right)\left(11\right)\\\\Volume = 374$

5 0

3 years ago

In a prison, Prison A, prisoners get 2 visits consisting of 4 hours every year. In another prison, Prison B, prisoners get 1 vis

pochemuha

The answer is Prison A :)

8 0

3 years ago

Joe wants to find out volume of his marble . He fills a beaker with 100ml of water and then drops his marble in the breaker. His

almond37 [142]

Answer:

The volume of the marble is 47 ml

The volume of the water is 100 ml

Step-by-step explanation:

we know that

The volume of the marble is equal to the change in water level

To find out the volume of the marble subtract 100 ml from 147 ml

$147-100=47\ ml$

The volume of the water no change

The volume of the water is 100 ml

6 0

3 years ago

PLEASE HELP WILL BRAINLIST IF RIGHT

Kazeer [188]

Answer:4, -1

Step-by-step explanation:

8 0

3 years ago