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3 years ago

What is the smallest number by which 256 may be divided so that the quotient is perfect cube? (A) 2 (B) 3 (C) 4

Mathematics

1 answer:

densk [106]3 years ago

4 0

Answer:

A.2

Step-by-step explanation:

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Solve for x: sinx-cosx=√2

kvv77 [185]

sinx - cosx =sqrt(2)
Taking square on both sides:
(sinx - cosx)^2 =sqrt(2)^2
sin^2(x) -2cos(x)sin(x) + cos^2(x) = 2
Rearranging the equation:
sin^2(x)+cos^2(x) -2cos(x)sin(x)=2
As,
sin^2(x)+cos^2(x) = 1
So,
1-2sinxcosx=2
1-1-2sinxcosx=2-1
-2sinxcosx = 1
Using Trignometric identities:
-2(0.5(sin(x+x)+sin(x-x))=1
-sin2x+sin0=1
As,
sin 0 = 0
So,
sin2x+0 = -1
sin2x = -1
2x=-90 degrees + t360
Dividing by 2 on both sides:
x=-45 degrees + t180
or 2x=270 degrees +t360
x= 135 degrees + t180 where t is integer

6 0

3 years ago

Por la seguridad de su personal y sus clientes una agencia bancaria se instalara una camara de video en un soporte de pared de m

yulyashka [42]

Answer:

16.24°

Step-by-step explanation:

Are you trying to find the angle of depression from the camera to the cashier?

Assume that the camera is 2.24 m high and the cashier is 7.69 m away.

1. Angle of elevation from cashier

tanθ = 2.24/7.69 = 0.2913

θ = arctan(0.2913) = 16.24°

2. Angle of depression from camera

∠ of depression = ∠ of elevation = 16.24°

6 0

3 years ago

Which statement explains the equation (6×3)×2=6×(3×2

Tju [1.3M]

They both equal the same thing

(6 x 3) x 2 = 36

6 x(3 x 2) = 36

6 0

3 years ago

A percent measures a rate a) per unit b)per 10 unit c) per 100 unit d) per 1000 unit

Artyom0805 [142]

Answer:

$\boxed{Option \ C}$

Step-by-step explanation:

Percentage means "out of hundred" So measuring the rate in percentage we've to find it using "per 100 units".

5 0

3 years ago

Read 2 more answers

Does anyone know sqrt(-10) ? Thank you!

Nata [24]

Answer:

$\huge\boxed{\sf \sqrt{-10} i}$

Step-by-step explanation:

$\sf \sqrt{-10} \\\\\sqrt{10} * \sqrt{-1} \\\\We \ know \ that \ \sqrt{-1} = i\\\\= \sqrt{10} i\\\\= \sqrt{2*5 } i \\\\Since \ 2 \ and \ 5 \ are \ not \ perfect \ squares, they \ cannot \ be \ simplified\ further.\\\\= \sqrt{10} i\\\\\rule[225]{225}{2}$

Hope this helped!

7 0

3 years ago

Read 2 more answers