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3 years ago

How would u solve this??

Mathematics

1 answer:

Norma-Jean [14]3 years ago

4 0

Answer:

n=1, m=3, and p=-4

Step-by-step explanation:

Take the fourth root of both sides

so x^n*y^m*z^p=x*y^3*z^-4;

notice z has a negative exponent because it was in the denominator

therefore, n=1, m=3, and p=-4

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Write in standard form Thirty- nine and fifteen hundredths

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3 years ago

Simplify. give your answer in lowest terms.

nataly862011 [7]

This is the answer simplified into the most specific terms

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4 years ago

Read 2 more answers

let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)

statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

$\sin (\theta)=\frac{3}{5}$

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

$x^2+3^2=5^2$

Solving for x, we have

$\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}$

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

$\tan (y)=\frac{12}{5}$

Describes the following triangle

Using the Pythagorean Theorem again, we have

$5^2+12^2=h^2$

Solving for h, we have

$\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}$

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

$\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}$

To calculate the sine and cosine of the sum

$\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}$

We can use the following identities

$\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}$

Using those identities in our problem, we're going to have

$\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}$

4 0

1 year ago

Hailey ate 2/8 of the pizza. Jack ate 3/8 of the same pizza. How much of the 1 pizza was left over after Hailey and Jack ate?

mihalych1998 [28]

Answer:

3/8

Step-by-step explanation:

If we add 2/8+3/8 we get 5/8 and we need 3/8 to get a whole number so we subtract 5/8-8/8 we get 3/8 sorry if that didn't make sense

8 0

3 years ago

Identify the equation of the translated graph in general form x^2+y^2=7 for T(-8,4) A. x^2 + y^2 + 16x - 8y + 73 = 0 B. x^2 + y^

Lunna [17]

Answer:

The correct option is A

Step-by-step explanation:

The standard form of equation of circle is written as:

(x - a)² + (y - b)² = r²

Where centers is given as (a,b)

The equation of the circle given in the question is:

x² + y² = 7

If the circle is translated T(-8,4), it means that the centre of translated circle lies at (-8,4).

So standard form of equation of circle is:

(x + 8)² + (y - 4)² = 7

Simplifying the equation:

(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7

x² + 64 + 16x + y² + 16 - 8y = 7

x² + y² + 16x - 8y + 80 = 7

x² + y² + 16x - 8y + 80 - 7 = 0

x² + y² + 16x - 8y + 73 = 0

which is the general form of the equation of circle

3 0

3 years ago