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Gemiola [76]
3 years ago
15

What is the exact value of tan(67.5°) ?

Mathematics
2 answers:
mariarad [96]3 years ago
7 0

Answer:

\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}

Step-by-step explanation:

correct on edge2020

docker41 [41]3 years ago
4 0

Answer:

The exact value using trigonometric identities.

Exact Form:

√ 3 + 2 √ 2

Decimal Form:

2.41421356 …

Hope this helps :)

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Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript nega
AlekseyPX

Answer:

The option "StartFraction 1 Over 3 Superscript 8" is correct

That is \frac{1}{3^8} is correct answer

Therefore [(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}

Step-by-step explanation:

Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared

The given expression can be written as

[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2

To find the simplified form of the given expression :

[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2

=(2^{-2})^{-3}(3^4)^{-3}\times (2^{-3})^2(3^2)^2 ( using the property (ab)^m=a^m.b^m )

=(2^6)(3^{-12})\times (2^{-6})(3^4) ( using the property (a^m)^n=a^{mn}

=(2^6)(2^{-6})(3^{-12})(3^4) ( combining the like powers )

=2^{6-6}3^{-12+4} ( using the property a^m.a^n=a^{m+n} )

=2^03^{-8}

=\frac{1}{3^8} ( using the property a^{-m}=\frac{1}{a^m} )

Therefore [(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}

Therefore option "StartFraction 1 Over 3 Superscript 8" is correct

That is \frac{1}{3^8} is correct answer

6 0
3 years ago
Read 2 more answers
Simplify this expression HELP ASAP
Sergio039 [100]

Answer:

B

Step-by-step explanation:

Noting the following rule of radicals

\sqrt{a} × \sqrt{b} = \sqrt{ab}

Given

(\sqrt{2} + \sqrt{3})( \sqrt{5} - \sqrt{7} )

Each term in the second factor is multiplied by each term in the first factor

= \sqrt{2}(\sqrt{5} - \sqrt{7}) + \sqrt{3}(\sqrt{5} - \sqrt{7}) ← distribute parenthesis

= \sqrt{10} - \sqrt{14} + \sqrt{15} - \sqrt{21}

8 0
3 years ago
8. "If a figure is a square, then it is a regular quadrilateral" Is this true or false? Explain.
nika2105 [10]
True because it has 4 equal sides and 4 equal interior angles each measuring 90 degrees
4 0
3 years ago
Read 2 more answers
4. A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution. How many
solniwko [45]

Given:

A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution.

To find:

The quantity of the 60% solution in the mixture.

Solution:

Let x be the quantity of the 60% solution and y be the quantity of the 21% solution.

Quantity of mixture is 234. So,

x+y=234

x=234-y                  ...(i)

The mixture has 43% fertilizer. So,

\dfrac{60}{100}x+\dfrac{21}{100}y=\dfrac{43}{100}\times 234

Multiply both sides by 100.

60x+21y=10062            ...(ii)

Using (i) and (ii), we get

60(234-y)+21y=10062

14040-60y+21y=10062

-39y=10062-14040

-39y=-3978

Divide both sides by -39.

\dfrac{-39y}{-39}=\dfrac{-3978}{-39}

y=102

Putting this value in (i), we get

x=234-102

x=132

Therefore, 132 liters of the 60% solution must be used.

3 0
2 years ago
Find the function value, f(4) if f(x) = 12x - 1
Scrat [10]

Answer:

f(4) = 47

Step-by-step explanation:

f(x) = 12x - 1

Let x = 4

f(4) = 12(4) -1

     = 48 -1

    = 47

4 0
3 years ago
Read 2 more answers
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