Which expression is equivalent to -14

Yosemite Falls is the highest waterfall in North America and the fifth highest in the world. When viewed from the valley, it app

lisabon 2012 [21]

Answer:

The water falls a total length of 2,425 feet

Step-by-step explanation:

In order to calculate the total length of the waterfall, we will find the sum of the three parts of the waterfall.

Length of upper fall = 1430 feet

Length of middle cascade = 675 feet

Length of lowe fall = 320 feet

Total length of fall = (Length of upper fall) + (Length of middle cascade) + (Length of lowe fall)

= 1430 + 675 + 320 = 2,425 feet

Total length that the water falls = 2,425 feet

7 0

3 years ago

Please help me solve this problem ASAP

DiKsa [7]

$\bold{\huge{\blue{\underline{ Solution }}}}$

<h3>Given :-</h3>

The right angled below is formed by 3 squares A, B and C
The area of square B has an area of 144 inches ²
The area of square C has an of 169 inches ²

We have to find the area of square A?

<h3>Let's Begin :- </h3>

The right angled triangle is formed by 3 squares

We have, 

Area of square B is 144 inches²
Area of square C is 169 inches²

We know that,

$\bold{ Area \: of \: square = Side × Side }$

Let the side of square B be x

Subsitute the required values,

$\sf{ 144 = x × x }$

$\sf{ 144 = x² }$

$\sf{ x = √144}$

$\bold{\red{ x = 12\: inches }}$

Thus, The dimension of square B is 12 inches

Area of square C = 169 inches

Let the side of square C be y

Subsitute the required values,

$\sf{ 169 = y × y }$

$\sf{ 169 = y² }$

$\sf{ y = √169}$

$\bold{\green{ y = 13\: inches }}$

Thus, The dimension of square C is 13 inches.

It is mentioned in the question that, the right angled triangle is formed by 3 squares

The dimensions of square be is x and y

Let the dimensions of square A be z

<h3>Therefore, By using Pythagoras theorem, </h3>

The sum of squares of base and perpendicular height equal to the square of hypotenuse

That is,

$\bold{\pink{ (Perpendicular)² + (Base)² = (Hypotenuse)² }}$

Here, 

Base = x = 12 inches
Perpendicular = z
Hypotenuse = y = 13 inches

Subsitute the required values,

$\sf{ (z)² + (x)² = (y)² }$

$\sf{ (z)² + (12)² = (169)² }$

$\sf{ (z)² + 144 = 169}$

$\sf{ (z)² = 169 - 144 }$

$\sf{ (z)² = 25}$

$\bold{\blue{ z = 5 }}$

Thus, The dimensions of square A is 5 inches

<h3>Therefore,</h3>

Area of square

$\sf{ = Side × Side }$

$\sf{ = 5 × 5 }$

$\bold{\orange{ = 25\: inches }}$

Hence, The area of square A is 25 inches.

6 0

3 years ago

Select the correct answer from each drop-down menu.

maxonik [38]

Answer:

$(b)\\\tan x, \cot x$

Step-by-step explanation:

Given

trigonometric function is

$\dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}$

Applying trigonometric formulae

$\Rightarrow \cos C-\cos D=-\sin (\dfrac{C+D}{2})\sin (\dfrac{C-D}{2})\\\\\Rightarrow \sin C+\sin D=\sin (\dfrac{C+D}{2})\cos (\dfrac{C-D}{2})$

$\Rightarrow \dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}=\dfrac{2\sin 3x\cdot \sin x}{2\sin 3x\cdot \cos x}\\\\\Rightarrow \dfrac{\sin x}{\cos x}=\tan x$

option (b) is correct

$\Rightarrow \dfrac{\cos 2x+\cos 4x}{\sin 2x-\sin 4x}=\dfrac{2\cos 3x\cdot \cos x}{2\cos 3x\cdot \sin (-x)}=-\cot x$

6 0

3 years ago

Suppose the function f(x) = 2x + 12

yarga [219]

First figure out how much it costs to rent seven movies a month. f(7)=2(7) + 12–> 14 + 12–> $26 Now we need to find the difference between 26 and 10. 26 - 10= 16. So Casey needs $16 more to rent 7 movies a month

5 0

4 years ago

Measure of a verticle angle is 7x+182 and another angle is 9x+194 solve for x

disa [49]

The measures of 2 vertical angles are always equal, so we have:

7x+182=9x+192.

Rearranging, we have 182-192=9x-7x, which simplifies to -12=2x.

Thus, x=-6.

This means that the angles are:

i) 7x+182=7(-6)+182=182-42= 140(degrees).

ii) 9x+194=9(-6)+194=194-54=140 (degrees, as expected.)

Answer: x=-6

4 0

3 years ago

Which expression is equivalent to -14–6? ​

Which expression is equivalent to -14–6?