Dion has a pizza with a diameter of 10 1/3 in . Is the square box shown big enough to fit the pizza inside? The box is 10.38 in wide and the pizza is 10 1/3 inches wide Will give brainly :-)

Answers

Answer 1

Answer:

The pizza box is wide enough to rest the pizza in it.

What is geometry?

A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects. 2D Geometric shapes. flat forms. The square is a two-dimensional shape having all the sides equal to each other.

Given that the box is 10.38 in wide and the pizza is 10 ( 1/3 ) inches wide. The shape will be analyzed as below:-

Diameter of pizza = 10 ( 1 / 3 ) = 10.333 inches

The width of the box = 10.38 inches

Difference = 10.38 - 10.33 = 0.05 inches gap

Therefore, the square box showed big enough to fit the pizza inside.

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Answer 2

Answer: yes, the box is wide enough because 10 1/3 is 10.33 repeating and the box is 10.38 (.05 inches wider than the pizza)

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What are the solutions of the equation x4+6x^2+5=0? Use substitution to solve

Answers

Answer:

+ or - square root of 5, and + or - i

Step-by-step explanation:

(x^2 + 5)(x^2 + 1)= 0

Set each set of parentheses equal to zero:

x^2 + 5 = 0; x^2 = -5, so x will equal plus or minus i times the square root of 5.

X^2 +1 = 0; x^2 = -1, so x will equal plus or minus i times the square root of one, which is just i

Answer: The solutions are i and 5i.

Step-by-step explanation:

Since we have given that

$x^4+6x^2+5=0$

By using Substitution, we use

$y=x^2$ in the above equation:

$y^2+6y+5=0\n\ny^2+5y+y+5=0\n\ny(y+5)+1(y+5)=0\n\n(y+1)(y+5)=0\n\ny=-1,-5$

Now, put the value of y in the equation $y=x^2$ .

Put y = -1,

$-1=x^2\n\nx=√(-1)=i$

Similarly, put y = -5

$-5=x^2\n\nx=√(-5)=5i$

Hence, the solutions are i and 5i.

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Answers

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