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2 years ago

PLEASE HELP!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

brilliants [131]2 years ago

8 0

9514 1404 393

Answer:

the sum of the interior angles is not 360°

Step-by-step explanation:

In order for the tiles to fit as shown, the sum of their interior angles must be 360°. Each n-sided figure has an interior angle sum of ...

180° - 360°/n

Then the sum of interior angles of 5-, 6-, and 8-sided figures will be ...

(180° -360°/5) +(180° -360°/6) +(180° -360°/8) = 540° -360°(1/5 +1/6 +1/8)

= 540° -360°(59/120) = 363° ≠ 360°

The angle sum is incorrect, so the tiles will overlap or leave a gap. They will not fit together perfectly.

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Solve for m: -8m + 4 = 52

Virty [35]

Answer:

m = -6

Step-by-step explanation:

-8m + 4 = 52

-8m = 48

-8m/-8 = 48/-8

m = -6

8 0

2 years ago

Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
$
Canceling similar terms we have:
 $\frac{x-6}{x-2} 
$
Returning the change we have:
 $\frac{n ^ 2-6}{n ^ 2-2} 

$
 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
$
 Answer:
The simplified expression is:
 $\frac{n ^ 2-6}{n ^ 2-2}$
The restrictions are:
 $n = \sqrt{2} 
$
$n = - \sqrt{2}$

7 0

3 years ago

A circle has a circumference of 28.26cm. what is the area of the circle? show work please

earnstyle [38]

-circumference is equal to pi×diameter, area is equal to pi×radius^2
-28.26÷3.14=9, 9÷2=4.5, 4.5×4.5=20.25, and 20.25×3.14=63.585
-rounded to the nearest hundredth, the answer is 63.59

8 0

3 years ago

PLZ HELP ASAP!!

zysi [14]

Answer:

Step-by-step explanation:

8 0

3 years ago

Help guys plzzz asapppp

nignag [31]

sin(x) = opp/hyp
cos(x) = adj/hyp
tan(x) = opp/adj

sin(x) = 3.9/8.1
sin(x) = 0.481

Inverse sin of 0.481 = 28.8 degrees

Each answer should be between 0 and 90 :)

4 0

2 years ago