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3 years ago

A baseball players batting average is 0.625. Write the batting average as a fraction.

Mathematics

1 answer:

Licemer1 [7]3 years ago

8 0

62.5/100 is the batting average as a fraction

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325 is decreased to 128

kow [346]

Are you asking what it was decreased by? Because if you are just do 325-128 and you get 197

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3 years ago

Read 2 more answers

A sin^3theta+b cos^3theta=sintheta costheta and a sintheta-b costheta=0 then prove a^2+b^2=1

frozen [14]

Answer:

Proof in explanation

Step-by-step explanation:

Trigonometric Identities

The basic trigonometric identity is:

$\sin^2\theta+\cos^2\theta=1$

We'll use it and some basic algebra to prove that, given:

$a sin^3\theta+b cos^3\theta=sin\theta cos\theta$

And

$a\sin\theta-b\cos\theta=0$

Then

$a^2+b^2=1$

From the equation:

$a\sin\theta-b\cos\theta=0$

We have:

$a\sin\theta=b\cos\theta\qquad [1]$

The equation

$a sin^3\theta+b cos^3\theta=sin\theta cos\theta$

Can be rewritten as

$a\sin\theta \sin^2\theta+b \cos^3\theta=\sin\theta \cos\theta$

Replacing [1]:

$b\cos\theta \sin^2\theta+b \cos^3\theta=\sin\theta \cos\theta$

Taking the common factor:

$b\cos\theta (\sin^2\theta+ \cos^2\theta)=\sin\theta \cos\theta$

The expression in parentheses is 1, thus:

$b\cos\theta =\sin\theta \cos\theta$

Dividing by $\cos\theta$

$b=\sin\theta$

Replacing in

$a\sin\theta=b\cos\theta$

We have

$a\sin\theta=\sin\theta\cos\theta$

Dividing by $\sin\theta$

$a=\cos\theta$

Now:

$a^2+b^2=(\cos\theta)^2+(\sin\theta)^2$

This expression is 1, thus it's proven:

$\boxed{a^2+b^2=1}$

6 0

3 years ago

Help me solve this problem attached. Please show steps!

Bond [772]

Answer:

You can combine the fractions by finding a common denominator, or try multiplying numbers to both sides to make some of the variables the same, then go from there

Step-by-step explanation:

hope this helped

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3 years ago

Graph g(x)=−x 2 −6x−6

Nina [5.8K]

Here's the graph.

The vertex is at (-3, 3), and it goes through points (-2, 2), (-4, 2), (-1, -1), (-5, -1).

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3 years ago

×1.4=0.4845 first missing number

Alenkinab [10]

Answer:

the answer is x=1.21125

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3 years ago