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larisa [96]
3 years ago
13

Its and easy solve i just need the answers i will mark brainlieast

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

x= 73°

y= 107°

z= 73°

Step-by-step explanation:

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I need to understand the steps and why. ty. <img src="https://tex.z-dn.net/?f=%5Csqrt%7By%7D%20%5E4" id="TexFormula1" title="\sq
e-lub [12.9K]

Answer:  y^2

Reason:

A square root represents an exponent of 1/2

So \sqrt{y} = y^{1/2}

Raising that to the fourth power gets us this,

(\sqrt{y})^4 = (y^{1/2})^4\\\\&#10;(\sqrt{y})^4 = y^{(1/2)*4}\\\\&#10;(\sqrt{y})^4 = y^{2}\\\\

----------------

Edit: Here's an alternative route

(\sqrt{y})^4 = (\sqrt{y})*(\sqrt{y})*(\sqrt{y})*(\sqrt{y})\\\\&#10;(\sqrt{y})^4 = (\sqrt{y})^2*(\sqrt{y})^2\\\\&#10;(\sqrt{y})^4 = y*y\\\\&#10;(\sqrt{y})^4 = y^2\\\\

The first line is possible because raising anything to the 4th power is the same as having 4 copies of it multiplied out (eg: 3^4 = 3*3*3*3 = 81).

Then in the second line, I collected the terms into pairs

By line 3, the square root and squaring exponent cancel each other out. This only works if y is not negative.

8 0
2 years ago
A shopkeep offers a discount of 20% on all the articles at his shop and still makes a profit of 12%. What is the CP of an articl
Arte-miy333 [17]

<u>Given</u><u> info</u><u>:</u><u>-</u>

A shop keeper offers a discount of 20% on all the articles at his shop and all makes a profit of 12%.

What is the CP of an article whose MP is Rs. 280 ?

<u>Explanation</u><u>:</u><u>-</u>

Given that

The Marked Price of an article (M) = Rs. 280

Discount on it = 20%

<u>Discount (D) = MD/100</u>

⇛ Discount = (280×20)/100

⇛ Discount = 28×2

⇛ Discount =56

<u>Selling Price = Marked Price - Discount</u>

⇛ Selling Price = 280-56

⇛ Selling Price = Rs. 224

Selling Price of the article = 224

Profit on it = 12%

We know that

<u>Cost Price = (100×SP)/(100+g)</u>

⇛ CP = (100×224)/(100+12)

⇛ CP = 22400/112

⇛ CP = 200

Therefore, The CP = Rs. 200

The Cost Price of the article = Rs. 200.

<u>Formula</u><u>:</u><u>-</u>

  • Discount (D) = MD/100

M = Marked Price

  • Selling Price = Marked Price - Discount
  • Cost Price = (100×SP)/(100+g)

SP = Selling Price

g = gain or profit

4 0
3 years ago
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