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3 years ago

Evaluate 2x + 5 - 10 when x = 12

Mathematics

2 answers:

musickatia [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Naddika [18.5K]3 years ago

4 0

The answer is 19=
2 (12)+5-10= 24+5-10=19

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Find the values of x and y. Write your answers in simplest form

SCORPION-xisa [38]

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 45^\circ=\frac{6}{y}$

Solving for y:

$\displaystyle y=\frac{6}{\cos 45^\circ}$

$\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}$

Substituting:

$\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}$

$y=6\cdot \sqrt{2}$

Now use the tangent ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 45^\circ=\frac{x}{6}$

Solving for x:

$x=6\cdot\tan 45^\circ$

$\tan 45^\circ=1$

Substituting:

$x=6\cdot 1$

$x =6$

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

6 0

3 years ago

What is an equation of the line that passes through the points (0, -5) and<br> (-5, -1)?

MakcuM [25]

Answer:

-11

Step-by-step explanation:

they were not allowed in a row to get a gun in the car

8 0

3 years ago

Help me do 1/6+1/4 make sure the demonator is the same

Alik [6]

<h2><u>Answer: </u></h2><h2> $\boxed{\boxed{\sf\frac{5}{12}=0.416666667}}$ </h2><h2></h2><h2><u>Solution Steps: </u></h2>

______________________________

$6,4=12$

<em> - We do this because in order to add these, they must have the same denominator. So you must find the LCF, (Least Common Factor) of 6 and 4.</em>

<em />

<h3>2.) Convert the fractions to have the same denominator: </h3>

$\frac{1}{6}=\frac{2}{12}$

$\frac{1}{4}=\frac{3}{12}$

<em> - </em> $\frac{1}{6}$ <em> changes to </em> $\frac{2}{12}$ <em> by multiplying the numerator and denominator by 2. And </em> $\frac{1}{4}$ <em> changes to </em> $\frac{3}{12}$ <em> because you multiply the numerator and denominator by 3. </em>

<h3>3.) Add the numerators: </h3>

$2+3=5$

<em> - Since both fractions have the same denominator all you have to do is add the numerators together. </em>

<em />

______________________________

7 0

3 years ago