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2 years ago

PLEASE HELP MEEEEE which is the tangent ratio of A?

Mathematics

1 answer:

CaHeK987 [17]2 years ago

7 0

Answer:

D. 195/28

Step-by-step explanation:

i just know

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Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

2 years ago

Help please this is urgent

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

I have more questions from my homework, please help!

blagie [28]

1. You will have to find the height first which could be done by using pythagoras theorem

split the 12 by half giving 6
a^2 = b^2 + c^2
13^2 = 6^2+c^2
169 = 36+c^2
c^2=169-36
c^2=133
c=sqrt133
c= 11.53

area of triangle
1/2 x b x h
1/2 x 6 x 11.53
34.59
34.5(3 sf)

5 0

2 years ago

Read 2 more answers

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

Vadim26 [7]

Answer:

(6x² - 5)(x² + 2)

Step-by-step explanation:

Given

6 $x^{4}$ - 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )