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1 year ago

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The Pacific Ring of Fire is an area where the Pacific Tectonic Plate encounters other tectonic plates. Which types of encounters

create an earthquake Question 29 options:
A.Convergent boundaries

B.Divergent boundaries

C.Transform boundaries

D.All of the above

1 answer:

zhannawk [14.2K]1 year ago

3 0

A) convergent boundaries
This is where plates collide.

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Mr. Henry spent $15 on a new hat this week. He learned that the same hat available on

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Step-by-step explanation:

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2 years ago

a rectangle pyramid fits exactly on top of a rectangular prism. the prism has a length of 18 cm, a width of 6 cm, and a height o

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1 year ago

a gardener makes a new circular flower bed. the bed is fourteen feet in diameter. Calculate the circumference and the area of th

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1 year ago

Read 2 more answers

Which statements are true regarding triangle LMN? Check all that apply.

dimaraw [331]

Answer:

$NM = x$

$LM = x\sqrt{2}$

$tan (45) = 1$

Step-by-step explanation:

Step 1: Pythagoras Theorem

Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:

$LM^{2} =LN^{2} +NM^{2}$

Step 2: Trigonometric Functions

Only for a right angle triangle following three trigonometric relations are valid

$sin (\theta) = \frac{opposite}{hypotenuse}$

$cos (\theta) = \frac{adjacent}{hypotenuse}$

$tan (\theta)=\frac{sin (\theta)}{cos (\theta)} = \frac{opposite}{adjacent}$

Step 3: Verifying all the possible answers

A: Since, LN = x and using $tan (45) =1$

we can calculate

$tan (\theta)= \frac{opposite}{adjacent}$

$tan (45)= \frac{NM}{x} =1$

therefore, NM = x (true)

B: As NM = x therefore it can not be equal to $x\sqrt{2\\}$ .

C: Using Pythagoras Theorem

$LM^{2} =LN^{2} +NM^{2}$

$LM^{2} =x^{2} +x^{2}$

$LM^{2} =2x^{2}$

$LM = \sqrt{2x^{2}} = x\sqrt{2}$

It can also be proved using trigonometric relation

$cos (45) = \frac{x}{LM}$

$LM = \frac{x}{cos (45)}$

As, $\frac{1}{cos (45)}= \sqrt{2}$

Therefore

$LM = x\sqrt{2}$

D and E:

Using same approach similar to part A

Since, LN = x and NM = x

we can calculate

$tan (\theta)= \frac{opposite}{adjacent}$

$tan (45)= \frac{x}{x} =1$

Therefore, $tan (45) = 1$ and not equal to $\frac{\sqrt{2} }{2}$

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2 years ago

Read 2 more answers

If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?

Irina18 [472]

Answer:

x - 5 and 2x + 3

Step-by-step explanation:

<h3>Given</h3>

Area of rectangle = 2x^2 - 7x - 15

<h3>To find</h3>

Dimensions of rectangle

<h3>Solution</h3>

<u>Since the area is the product of the sides, let's try to factorize the given:</u>

2x^2 - 7x - 15=
2x^2 - 10x + 3x - 15 =
2x(x - 5) + 3(x - 5) =
(x - 5)(2x + 3)

<u>So the dimensions are:</u>

x - 5 and 2x + 3

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1 year ago