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2 years ago

How many angles between 0° and 360° have a tangent of of 2/3?

Mathematics

1 answer:

slega [8]2 years ago

5 0

Answer:

Step-by-step explanation:

The tangent is positive in quadrants I and III. There are two angles with that tangent value:

33.96° and 213.69°

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The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

<u>Solution: </u>

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

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3 years ago

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zheka24 [161]

It is the third bubble
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7 0

3 years ago

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1. Under absorption costing, how much fixed manufacturing overhead cost is included in the company's inventory at the end of las

Jobisdone [24]

Answer:

$5,200 a fixed manufacturing overhead cost is included in the company's inventory at the end of last year.

Income Statement is Prepared in an MS Excel File Attached With this answer Please find it.

Step-by-step explanation:

Fixed Manufacturing Overhead = Total Fixed manufacturing Overhead x Units in ending inventory / Units produced

Fixed Manufacturing Overhead = 65,000 x 20 / 250 = $5,200

File Attached.

There is a Difference of $5,200 in net operating income between the two costing methods. The amount of fixed asset assigned to closing inventory.

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3 years ago

Ravi will take the 6:37 PM train to San Diego. The train is estimated to arrive in San Diego in 3 hours 45 minutes. What is the

Ahat [919]

So 6+3 is 9 right? So let's just say it's 9:37 with a 45 min ride. 60 minutes are in a hour. 60 - 37 = 23. We have 23 minutes left until 10:00. 45- 23 = 22. Therefore it'd be 10:22 p.m.

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3 years ago

X^2 -10x = 8 solve show work

likoan [24]

Answer:

Step-by-step explanation:

X^2-10x-8=0

Solve simultaneously

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3 years ago

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