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3 years ago

10

Maya was painting her room. She has 3.25 gallons of paint. She wants to use 3/5 of the paint. How many gallons of paint will May

a use?

1 answer:

madam [21]3 years ago

3 0

Maya will use: 3/5 * 3.25 = (3/5) * (13/4) = 39/20 gal = 1.95 gal

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Y equals 4x to the 3rd power minus 3 plus 2x to the second power

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Y=4x^3 - (3+2x)^2 hope this helped! I wrote it out in the picture

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I need help with #9 please

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part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

<em />

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

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3 years ago

If f(x) = 5x(3exponent) - 2 and g(x) = 2x+1 , find (f+g) (x)

Rus_ich [418]

For this case we must find

$(f + g) (x).$

By definition we have to:

$(f + g) (x) = f (x) + g (x)$

We have the following functions:

$f (x) = 5x ^ 3-2\\g (x) = 2x + 1$

Now, applying the given definition, we have:

$(f + g) (x) = 5x ^ 3-2 + 2x + 1\\(f + g) (x) = 5x ^ 3 + 2x-1$

Answer:

$(f + g) (x) = 5x ^ 3 + 2x-1$

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3 years ago

olga nikolaevna [1]

If you use the real Pi , 3.140625 , from a real ratio 201 /64 , you would get 37.6875 inches . All ruler measurements like 1/2 , 1/4, 1/8 ,1/16 … is where the last decimal integer ends in 5 , just like the real Pi . If you use the present day Pi , your decimal integer circumference length keeps getting ever smaller , 10 , 100 , 1000 … in this case you would have a shrinking diameter . You are better off using the real Pi, that i have proven with Quora. Richard Eicholtz
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