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2 years ago

15

Maker the subject of this formula. V = ³√p+r?

1 answer:

Alla [95]2 years ago

4 0

Answer:

here's the answer I have in the photo and solution too

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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

Write the first four terms of the sequence defined by An=20-30(n-1)

monitta

The first four terms of sequence is 20, -10, -40, -70

<em><u>Solution:</u></em>

Given that we have to find the first four terms of sequence

<em><u>Given recursive formula is:</u></em>

$a_n = 20 - 30(n-1)$

<em><u>To find the first term, substitute n = 1</u></em>

$a_1 = 20-30(1-1)\\\\a_1 = 20-30(0)\\\\a_1 = 20$

Thus the first term of sequence is 20

<em><u>To find the second term, substitute n = 2</u></em>

$a_2 = 20-30(2-1)\\\\a_2 = 20-30(1)\\\\a_2 = 20-30\\\\a_2 = -10$

Thus the second term of sequence is -10

<em><u>To find the third term, substitute n = 3</u></em>

$a_3 = 20-30(3-1)\\\\a_3 = 20-30(2)\\\\a_3 = 20-60\\\\a_3 = -40$

Thus the third term of sequence is -40

<em><u>To find the fourth term, substitute n = 4</u></em>

$a_4 = 20-30(4-1)\\\\a_4 = 20-30(3)\\\\a_4 = 20-90\\\\a_4 = -70$

Thus the first four terms of sequence is 20, -10, -40, -70

3 0

4 years ago

F. answer this question: why use the median instead of the mean?

Delicious77 [7]

Answer:

Median used for non-parametric analysis. Likert (ordinal) scale usually violets the normality assumption.

Step-by-step explanation:

3 0

3 years ago

A roller coaster has a loop with a diameter of 200 feet. What is the length of the loop?

Jet001 [13]

Answer:

31400 ft

Step-by-step explanation:

4 0

3 years ago

Given points G( 2, 10) and H ( -6, -10), find the coordinates of the midpoint of line GH.

sladkih [1.3K]

(-2, 0)

You can find this by getting the average of the x's and the average of the y's.

4 0

3 years ago