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Anastaziya [24]
3 years ago
10

What is the value of the fourth power of 10

Mathematics
2 answers:
Shalnov [3]3 years ago
3 0
10^4 = 10\times 10 \times 10 \times 10 = 100 \times 10 \times 10 = 100 \times 100 = \boxed{10,000}
pentagon [3]3 years ago
3 0
10^4 is 10,000. ten thousand
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Prove that sin3a-cos3a/sina+cosa=2sin2a-1
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Answer:

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1

Step-by-step explanation:

we are given

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1

we can simplify left side and make it equal to right side

we can use trig identity

sin(3a)=3sin(a)-4sin^3(a)

cos(3a)=4cos^3(a)-3cos(a)

now, we can plug values

\frac{(3sin(a)-4sin^3(a))-(4cos^3(a)-3cos(a))}{sin(a)+cos(a)}

now, we can simplify

\frac{3sin(a)-4sin^3(a)-4cos^3(a)+3cos(a)}{sin(a)+cos(a)}

\frac{3sin(a)+3cos(a)-4sin^3(a)-4cos^3(a)}{sin(a)+cos(a)}

\frac{3(sin(a)+cos(a))-4(sin^3(a)+cos^3(a))}{sin(a)+cos(a)}

now, we can factor it

\frac{3(sin(a)+cos(a))-4(sin(a)+cos(a))(sin^2(a)+cos^2(a)-sin(a)cos(a)}{sin(a)+cos(a)}

\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}

we can use trig identity

sin^2(a)+cos^2(a)=1

\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}

we can cancel terms

=3-4(1-sin(a)cos(a))

now, we can simplify it further

=3-4+4sin(a)cos(a))

=-1+4sin(a)cos(a))

=4sin(a)cos(a)-1

=2\times 2sin(a)cos(a)-1

now, we can use trig identity

2sin(a)cos(a)=sin(2a)

we can replace it

=2sin(2a)-1

so,

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1


7 0
3 years ago
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What are the coordinates of A?​
irinina [24]
I think (7,10)
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4 0
3 years ago
Solve the inequality |3x-6|≤9
avanturin [10]
3x-6≤9
3x≤15
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so the answer is x≤5
5 0
4 years ago
I need help with this question. I didn't choose answer D, but I accidentally did. If you could help me, that would be great.
Alex

Answer:

The correct answer would be B

Step-by-step explanation:

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7 0
3 years ago
Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)
Rina8888 [55]

Answer:

g(x)=x^2+4 and f(x)=\frac{8}{x}


Step-by-step explanation:

If we want to express y as y=f(g(x)), this means that put the function g(x) into x of f(x) to get y.

The function y is given as y=\frac{8}{x^{2}+4}

<u>So we need to figure out a function g(x) that we can put into another f(x) to get y</u>

If we let g(x)=x^2+4 and f(x)=\frac{8}{x}, we can clearly see that putting g(x) into x of f(x) will give us  \frac{8}{x^2+4}, which is y.


Hence g(x)=x^2+4 and f(x)=\frac{8}{x}

3 0
3 years ago
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