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3 years ago

How do you solve 7.86 x 4.6

1 answer:

mihalych1998 [28]3 years ago

7 0

<span><u><em>Answer:</em></u>
36.156<span>

<u><em>Explanation:</em></u>
Multiply as 7.86 and 4.6 ignoring the decimals for now. You get a solution of 36156.
You count how many decimal points are in the problem (2 from 7.86 and 1 from 4.6) and you put it in the answer by moving the decimal to the left the amount of decimals in the problem this leave the answer as 36.156</span></span>

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The interior angle of a regular polygon is twice the exterior angle how many sides has the polygon

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Answer:

6 sides

Step-by-step explanation:

the interior angle + the exterior angle = 180°

let x be the exterior angle then 2x is the interior angle and

x + 2x = 180

3x = 180 ( divide both sides by 3 )

x = 60

the exterior angle = 60°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular the the exterior angles are congruent, then

number of sides = 360° ÷ 60° = 6

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3 years ago

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MrMuchimi

Answer:

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Step-by-step explanation:

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3 years ago

The screen size of a television is determined by the length of the diagonal of the rectangular screen. traditional elevisions co

julsineya [31]

Answer:

Part 1) The area of a 17 in traditional tv screen is $A=138.7\ in^2$

Part 2) The area of a 17 in LCD TV screen is $A=123.5\ in^2$

Part 3) The screen of the 17 in traditional TV is bigger, because its area is greater than the area of the LCD TV

Step-by-step explanation:

Let

x ----> the length of the rectangular screen

y ----> the width of the rectangular screen

Part 1) What is the area of a 17 in traditional tv screen?

we have

$\frac{x}{y}=\frac{4}{3}$

$x=\frac{4}{3}y$ ----> equation A

Applying the Pythagorean Theorem

$x^{2} +y^{2} =17^{2}$ ----> equation B

substitute equation A in equation B

$(\frac{4}{3}y)^{2} +y^{2} =17^{2}$

solve for y

$\frac{16}{9}y^{2} +y^{2} =289$

$\frac{25}{9}y^{2}=289$

take square root both sides

$\frac{5}{3}y=17$

$y=17(3)/5\\y=10.2\ in$

<em>Find the value of x</em>

$x=\frac{4}{3}(10.2)$

$x=13.6\ in$

<em>Find the area of the rectangular screen</em>

The area is equal to

$A=xy$

substitute

$A=(13.6)(10.2)=138.72\ in^2$

$A=138.7\ in^2$

Part 2) What is the area of a 17 in LCD TV whose screen is in 16:9 format?

we have

$\frac{x}{y}=\frac{16}{9}$

$x=\frac{16}{9}y$ ----> equation A

Applying the Pythagorean Theorem

$x^{2} +y^{2} =17^{2}$ ----> equation B

substitute equation A in equation B

$(\frac{16}{9}y)^{2} +y^{2} =17^{2}$

solve for y

$\frac{256}{81}y^{2} +y^{2} =289$

$\frac{337}{81}y^{2}=289$

take square root both sides

$\frac{\sqrt{337}}{9}y=17$

$y=17(9)/\sqrt{337}$

$y=\frac{153}{\sqrt{337}}\ in$

<em>Find the value of x</em>

$x=\frac{16}{9}(\frac{153}{\sqrt{337}})$

$x=\frac{2,448}{9\sqrt{337}}\ in$

<em>Find the area of the rectangular screen</em>

The area is equal to

$A=(\frac{2,448}{9\sqrt{337}})(\frac{153}{\sqrt{337}})$

$A=123.49\ in^2$

$A=123.5\ in^2$

Part 3) which screen is bigger?

Compare the areas

$138.7\ in^2 > 123.5\ in^2$

therefore

The screen of the 17 in traditional TV is bigger, because its area is greater than the area of the LCD TV

4 0

4 years ago