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3 years ago

Quick help with answers please!!

Mathematics

1 answer:

yulyashka [42]3 years ago

6 0

Answer:

x=pi/8 and 7pi/8

Step-by-step explanation:

2cos(2x)=sqrt(2), cos(2x)=1/sqrt(2). 2x=pi/4 and 7pi/4, x=pi/8 and 7pi/8

You might be interested in

how to calculate cube root without using prime factorization? and how to calculate ³√60? or something else that has a decimal re

Marat540 [252]

The cube root of 60 is 3.87 approximately.

Step by step solution:

We can calculate the cube root by Halley's method:

The formula is $\sqrt[3]{a} = x ((x^{3} + 2a)/(2x^{3} + a))$

where,

a = number whose cube root is being calculated

x = integer guess of its cube root.

Here a = 60,

Suppose x as 3

[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]

⇒ x = 3

Therefore,

∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87

⇒ ∛60 ≈ 3.87

Therefore, the cube root of 60 is 3.87 approximately.

Here , ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.

Therefore, the value of the cube root of 60 is an irrational number.

Learn more about cube root :brainly.com/question/27863878

#SPJ1

4 0

2 years ago

What is 'divide £56 in a ratio of 5:3

Oliga [24]

$56=5x+3x\\
8x=56\\
x=7\\\\
5x=5\cdot7=\pounds35\\
3x=3\cdot7=\pounds 21$

8 0

4 years ago

Read 2 more answers

Water is not a liquid if its temperature is above 100 °C or below 0 °C.

amm1812

Answer:

$0 \leq x \leq 100$

0, 40, and 80 are the values that work for this compound inequality.

Step-by-step explanation:

To create a compound inequality, we have to examine the conditions for $x$ to work.

Since $x$ can not be below 0° C, that means that $x$ must be greater than or equal to 0.

Which is represented as $x\geq 0$ , or $0\leq x$ .

Since $x$ can not be above 100° C, that means $x$ must be less than 100.

Which is represented as $x \leq 100$ .

We can combine both inequalities into one, where $x$ is shared between the two. This creates $0\leq x \leq 100$ .

Let's test each value of $x$ .

0 is equal to 0 and less than 100, so it works.

40 is greater than 0 and less than 100, so it works.

80 is greater than 0 and less than 100, so it works.

120 is greater than 0 and greater than 100, so it doesn't work.

160 is greater than 0 and greater than 100, so it doesn't work.

Hope this helped!

6 0

4 years ago

Please explain as well!

kirill [66]

Answer:

The height of the other book is 2 3/4 inches.

Step-by-step explanation:

From the information,we get:

Two stacks of books together are = 7 1/2 inches tall.

One stack is given,that is = 4 3/4 inches.

To Find:

The height of the other.

Solution:

Let us assume that the other height of the book be x.

Then the equation will be:

$4\cfrac{3}{4} + x = 7\cfrac{1}{2}$

Solve for x to get the other book's height.

Convert the mixed fractions to fractions:

$\implies \: \cfrac{19}{4 } + x = \cfrac{15}{2}$

Subtract 19/4 from both sides:

$\implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4}$

$\implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}$

Hence, we can conclude that:

The height of the other book is 2 3/4 inches.

5 0

2 years ago

The question is "Find the number of elements in the following sets"

MrMuchimi

I hope this helps you

U=66+17+53+82=218

A' = 53+82=135

A'∩B=53

(A∩B)'=66+53+82=201

(A∪B)'=82

A' ∩ B' = 82

5 0

4 years ago