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3 years ago

In the poportion 1/z =4/5/8 which number is equal to z in the proportion

Mathematics

1 answer:

Nady [450]3 years ago

8 0

Answer:

case 1) $z=10$

case 2) $z=5/32$

Step-by-step explanation:

case 1) we know that

Using proportion

$\frac{1}{z}=\frac{(4/5)}{8}$

solve for z

$\frac{1}{z}=\frac{(4/5)}{8}\\ \\z(4/5)=8\\ \\z=8*5/4\\ \\z=10$

case 2) we know that

Using proportion

$\frac{1}{z}=\frac{4}{5/8}$

solve for z

$\frac{1}{z}=\frac{4}{5/8}\\ \\4z=5/8\\ \\z=5/32$

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For which value of theta is sin theta equals -1?

Olin [163]

Answer:

The value of Ф is 3π/2

Step-by-step explanation:

* Lets revise the angle Ф in the four quadrant

∵ r = √(x² + y²) ⇒ square the two sides

∴ x² + y² = r²

∵ r = 1

∴ x² + y² = 1

∵ cos² Ф + sin² Ф = 1

∵ x is the adjacent side to Ф and y is the opposite side to Ф

∴ x = cos Ф and y = sin Ф

- At point (1 , 0)

∵ x = 1 , y = 0

∴ cos Ф = 1 and sin Ф = 0

∵ The positive part of x-axis represents the angle 0 and 2π

∴ cos 0 and 2π are 1 and sin 0 and 2π are 0

- At point (0 , 1)

∵ x = 0 , y = 1

∴ cos Ф = 0 and sin Ф = 1

∵ The positive part of y-axis represent the angle π/2

∴ cos π/2 is 0 and sin π/2 is 1

- At point (-1 , 0)

∵ x = -1 , y = 0

∴ cos Ф = -1 and sin Ф = 0

∵ The negative part of x-axis represents the angle π

∴ cos π is -1 and sin π is 0

- At point (0 , -1)

∵ x = 0 , y = -1

∴ cos Ф = 0 and sin Ф = -1

∵ The negative part of y-axis represent the angle 3π/2

∴ cos 3π/2 is 0 and sin 3π/2 is 1

* For the value of Ф = 3π/2 is sin Ф = -1

6 0

3 years ago

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Describe the procedure you performed to derive the slope-intercept form of a linear equation.

defon

Answer:

1. You first have to find the slope

2. Next, you have to find the y-intercept

3. Finally, you have to put it in y = mx + b form.

Step-by-step explanation:

The slope of 2 points is; $\frac{y_{2}- y_{1} }{x_{2}-x_{1}}$

The y-intercept is; $y-y_{1}=m(x-x_{1} )$

y = mx + b

m is always the slope

b is always the starting point or y-intercept

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3 years ago

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Solve the quadratic equation numerically (using tables of x- and y- values).

cricket20 [7]

Answer:

x= -3 or x= -4

Step-by-step explanation:

3 0

3 years ago

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Please help!! I NEED IT VERY BADLY

I am Lyosha [343]

Answer:

3/4

Step-by-step explanation:

tan A =opposite/adjacent = 6/8 =3/4

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3 years ago

What is the solution of √x-5 = x-11

PIT_PIT [208]

Hey!

To solve x in this equation we must first add five to both sides to get $\sqrt{x}$ on its own.

Original Equation :
$\sqrt{x} - 5 = x - 11$

New Equation {Added 5 to Both Sides} :
$\sqrt{x} =x-6$

Now we must square both sides of the equation.

Old Equation :
$\sqrt{x} =x-6$

New Equation {Changed by Squaring Both Sides} :
$x= x^{2} -12x+36$

And now we must solve the new equation.

Step 1 - Switch sides
$x^{2} -12x+36=x$

Step 2 - Subtract x from both sides
$x^{2} -12x+36-x=x-x$

Step 3 - Simplify
$x^{2} -13x+36=0$

Now we need to solve the rest of the equation using the quadratic formula.

$\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}$

${13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}$

$\frac{13+ \sqrt{25}}{2}$

$\sqrt{25}=5$

$\frac{13+5}{2}$

$\frac{18}{2}$

9

$\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}$

4

So, this means that in the equation $\sqrt{x} -5=x-11$ , x = 9 and x = 4.

Hope this helps!

- Lindsey Frazier ♥

4 0

3 years ago