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serg [7]
3 years ago
12

What is the length of the paintbrush in centimeters?

Mathematics
2 answers:
aalyn [17]3 years ago
6 0

Answer:

b is the write answer

Step-by-step explanation:

10*162

lidiya [134]3 years ago
3 0

Answer:

C. 16.2cm.

162mm = 16.2cm

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Hi, does anyone know how to solve this. If so, please show the working out too. Thanks.
sergiy2304 [10]

See the explanation

<h2>Explanation:</h2><h2 />

I have corrected your diagram so ∅ is the angle at the top of the diagram. In order to solve this problem we have to use Pythagorean theorem and the law of sines. Moreover, I have named two sides as w and z so those variables will help us to solve this problem. So:

The triangle at the bottom is right, so by Pythagorean theorem is true that:

w^2=4^2+(2\sqrt{2})^2 \\ \\ w^2=24 \\ \\ w=\sqrt{24} \\ \\ w=2\sqrt{6}

By law of sines:

\frac{z}{sin\theta}=\frac{w}{sin60^{\circ}} \\ \\ z=\frac{wsin\theta}{sin60^{\circ}} \\ \\ z=\frac{2\sqrt{6}sin\theta}{\sqrt{3}/2} \\ \\ z=4\sqrt{2}sin\theta

By law of sines again:

\frac{y}{sin45^{\circ}}=\frac{z}{sin\phi} \\ \\ y=\frac{zsin45^{\circ}}{sin\phi} \\ \\ y=\frac{4\sqrt{2}sin\theta \sqrt{2}/2}{sin\phi} \\ \\ \\ Finally: \\ \\ \boxed{y=\frac{4sin\theta}{sin\phi}}

<h2>Learn more:</h2>

Classification of triangles: brainly.com/question/10379190

#LearnWithBrainly

7 0
3 years ago
Need help please can someone figure it out ​
babunello [35]

Answer:

It's the first choice.

Step-by-step explanation:

Using system of equations.

6 0
3 years ago
6/1000 as a common fraction
Morgarella [4.7K]

Answer:

166.6 is the decimal? but its 166/6 i think maybe i dont know    taco bell/!!!!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the sum of the first 36 terms of the following series, to the nearest integer. 13, 19,25,...
ololo11 [35]

Answer:

223?

Step-by-step explanation:

6n +7 (nth term)

(6*36)+7 = 223

8 0
3 years ago
The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangl
Travka [436]
----------------------------------
Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5                // Length is 5ft longer than twice the width

----------------------------------
Formula for Perimeter :
----------------------------------
Perimeter = 2 (Length + Width)

----------------------------------
Find Width :
----------------------------------
58 = 2 ( 2x + 5 + x)         // Substitute Length and Width into formula
58 = 2 (3x + 5)                // Combine like terms
58 = 6x + 10                    // Apply distributive property
48 = 6x                            // Take away 10 from both sides
6x = 48                            // Switch sides. Make x the subject
x = 8                                // Divide by 6 on both sides

----------------------------------
Find Length and Width :
----------------------------------
Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft

--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------

3 0
3 years ago
Read 2 more answers
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