Solve this linear equation: x/2 + 3/4 = x/8

mel-nik [20]

Answer:

$\Huge\boxed{x=33.2}$

Step-by-step explanation:

Hello there!

We can solve for x using law of sines

As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)

So we can use this equation to solve for x

$\frac{21}{sin(35)} =\frac{x}{sin(65)}$

Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)

$\frac{x}{sin(65)} sin(65)=x\\\\\frac{21}{sin(35)} sin(65)=\frac{21sin(65)}{sin(35)}$

we're left with

$x=\frac{21sin(65)}{sin(35)}\\x=33.18208755$

assuming we have to round the answer would be 33.18 or 33.2

7 0

3 years ago

Gollum eats fish on alternate days.How often doea he eat fish on a Monday?

VikaD [51]

He eats fish every other Monday

4 0

3 years ago

Read 2 more answers

Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here

worty [1.4K]

Answer:

53 seconds.

Explanation:

The text and the model are garbled.

This is the question amended:

Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.

H(t) = -10 cos(2π/150 t)+10

When does Hyun Woo first reach a height of 16 m?

<h2>Solution</h2>

When Hyun Woo reaches a height of 16 m the model states:

16 = -10 cos(2π/150 t)+10

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

16 = -10 cos(2π/150 t)+10

10cos(2π/150 t) = - 6

cos(2π/150t) = -0.6

2π/150t = arccos(-0.6)

2π/150t = 2.214297

t = 52.86s ≈ 53 s ← answer

4 0

3 years ago

4x + 3(4x + 7) = 4(7x + 3)

Natasha2012 [34]

Answer: 1

Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3

Reorder the terms:

4x + 3(7 + 4x) = 4(7x + 3) + -3

4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3

4x + (21 + 12x) = 4(7x + 3) + -3

Reorder the terms:

21 + 4x + 12x = 4(7x + 3) + -3

Combine like terms: 4x + 12x = 16x

21 + 16x = 4(7x + 3) + -3

Reorder the terms:

21 + 16x = 4(3 + 7x) + -3

21 + 16x = (3 * 4 + 7x * 4) + -3

21 + 16x = (12 + 28x) + -3

Reorder the terms:

21 + 16x = 12 + -3 + 28x

Combine like terms: 12 + -3 = 9

21 + 16x = 9 + 28x

Solving

21 + 16x = 9 + 28x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28x' to each side of the equation.

21 + 16x + -28x = 9 + 28x + -28x

Combine like terms: 16x + -28x = -12x

21 + -12x = 9 + 28x + -28x

Combine like terms: 28x + -28x = 0

21 + -12x = 9 + 0

21 + -12x = 9

Add '-21' to each side of the equation.

21 + -21 + -12x = 9 + -21

Combine like terms: 21 + -21 = 0

0 + -12x = 9 + -21

-12x = 9 + -21

Combine like terms: 9 + -21 = -12

-12x = -12

Divide each side by -12.

x = 1

Simplifying

x = 1

5 0

3 years ago

The radius of a circle is 12 miles. What is the angle measure of an arc bounding a sector with area 10 square miles?

hram777 [196]

$\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ A=10\\ r=12 \end{cases}\implies 10=\cfrac{\theta \pi 12^2}{360}\implies 10=\cfrac{2\pi \theta }{5} \\\\\\ 20=2\pi \theta \implies \cfrac{20}{2\pi }=\theta \implies \cfrac{10}{\pi }=\theta \implies 3.18\approx \theta$

6 0

3 years ago

Solve this linear equation: x/2 + 3/4 = x/8 ​

Solve this linear equation: x/2 + 3/4 = x/8