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3 years ago

Tan θ sin θ + sin θ = 0 . Solve the given equation.

Mathematics

1 answer:

VashaNatasha [74]3 years ago

4 0

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What is the value of log256 4

Sauron [17]

Answer: 1/4 or 0.25

Step-by-step explanation: We will solve log256 4 in several steps to solve for x.

Step 1: Log256 4 = x

Step 2: 256x = 4 ( Next, Use exponents )

Step 3: (2^8)x = 2^2

Step 4: 2^8x = 2^2

Step 5: 8x = 2 (Solve for x0

Step 6: 8x/8 = 2/8 = x = 1/4

Step 7 (The Answer) x, or log256 4 = 1/4 or 0.25

4 0

3 years ago

Write an equation in standard form of the line passing through the points (3,3) and (-3,5)

Korvikt [17]

Answer:

The equation of line AB with points (3,3) and (-3,5) is given as

: x + 3y = 12

Step-by-step explanation:

Here, the given points are A (3, 3) and B (-3,5).

Now, slope of any line is given as :

$m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{5-3}{-3 - 3} = \frac{2}{-6} = -\frac{1}{3}$

Hence, the slope of the line AB is (-1/3)

Now , A POINT SLOPE FORM of an equation is

(y - y0) = m (x - x0) ; (x0, y0) is any arbitrary point on line.

So, for the point (3,3) the equation of the line is

y - 3 $y-3 = -\frac{1}{3} (x-3) \implies 3y - 9 = 3 -x$

Hence, the equation of line AB with points (3,3) and (-3,5) is given as:

x + 3y = 12

8 0

3 years ago

A transformation describes a change in location, orientation, or size of a figure. Translations, reflections, and rotations belo

marshall27 [118]

Answer: These are called rigid transformations because the structure and shape of the shape remains the same.

Step-by-step explanation: The word rigid and rigidity is often used to describe something that is tough or the strength of something. The transformations might be called a rigid transformation because the rigidity of the shape remains the same because the size is the exact same, it is the exact same shape it is just moved.

3 0

3 years ago

1/4x – 2 = 3/8 Please show an equation and work. :)

Julli [10]

1/4x - 2 = 3/8

First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
$\frac{x}{4} - 2 = \frac{3}{8}$

Second, now we can continue solving for our variable (x). Let's add 2 to each side.
$\frac{x}{4} = \frac{3}{8} + 2$

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
$\frac{x}{4} = \frac{19}{8}$

Fourth, continue trying to get the variable by itself. Multiply each side by 4.
$x = \frac{19}{8} \times 4$

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
$x = \frac{76}{8}$

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
$76 \div 4 = 19 \\ 8 \div 4 = 2$

Answer in fraction form: $\fbox {x = 19/2}$
Answer in decimal form: $\fbox {x = 9.5}$

8 0

3 years ago

35 is 29% of what number

ladessa [460]

Answer:

10.15 is 29% of 35.

Step-by-step explanation:

7 0

3 years ago