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3 years ago

PLEASE HELP ! 30 POINTS WHOEVER ANSWERS GETS BRAINEST! Evaluate.

Mathematics

1 answer:

Murljashka [212]3 years ago

5 0

Answer:

55075 / 68992

Step-by-step explanation:

:) hope this helps

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A turntable makes 45 revolutions per minute. How many revolutions does it make per second?

Stolb23 [73]

Answer:

45/60=0.75

Step-by-step explanation:

7 0

2 years ago

If for two non-zero vectors a,b : ∣a+b∣=∣a−b∣ then angle between them is:______a. 0b. 45c. 60d. 90

Eddi Din [679]

Answer:

$90^\circ$

Step-by-step explanation:

Given two non zero vectors, $\vec a, \vec b$ .

Let the angle between the two vectors = $\theta$

Given that:

$|\vec a+\vec b|=|\vec a-\vec b|$

Let us have a look at the formula for magnitude of addition of two vectors:

$|\vec x+\vec y|=\sqrt{x^2+y^2+2xycos\theta}$

Where $\theta$ is the angle between the two vectors.

formula for magnitude of subtraction of two vectors:

$|\vec x-\vec y|=\sqrt{x^2+y^2-2xycos\theta}$

As per the given condition:

$\sqrt{a^2+b^2+2abcos\theta}=\sqrt{a^2+b^2-2abcos\theta}$

Squaring both sides:

$a^2+b^2+2abcos\theta=a^2+b^2-2abcos\theta\\\Rightarrow 2abcos\theta=-2abcos\theta\\\Rightarrow cos\theta = -cos\theta\\\Rightarrow 2cos\theta = 0\\\Rightarrow cos\theta = 0\\\Rightarrow \theta = 90^\circ$

So, the angle between the two vectors is: $90^\circ$

7 0

2 years ago

What is the value of the expression of 10?

Shalnov [3]

10 I would say because there are no other numbers

8 0

3 years ago

A map has a scale of 1 cm to 14 km.

Alenkinab [10]

Answer:

Real distance between Manchester and London = 263.2 km

Step-by-step explanation:

Given that:

A map has a scale of 1 cm = 14 km

Ratio = 1 : 14

Distance from Manchester to London = 18.8 cm

Let,

x be the real distance between Manchester and London.

Ratio = 18.8 : x

As the relationship is proportional,

1 : 14 :: 18.8 : x

Product of mean = Product of extreme

14*18.8 = x

x = 263.2 kilometers

Hence,

Real distance between Manchester and London = 263.2 km

6 0

2 years ago

What is the graph of the function f(x)=x2+ 2x+ 3?

8090 [49]

Answer:

Step-by-step explanation:

The best way to do this is to let a graphing program do it. You could do it from a chart, but a graphing program can be useful for that as well. We'll make up a mini chart here

x method y

-3 (-3)^2 + 2(-3) + 3 = 6

-2 (-2)^2 + 2(-2) + 3 = 3

-1 (-1)^2 + 2(-1) + 3 = 2

0 3

1 (1)^2 + 2(1) + 3 6

2 (2^2) + 2(2) + 3 11

3 (3)^2 +2(3) + 3 18

See the graph below.

You can pick it out from the graphs you were given.

8 0

3 years ago