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4 years ago

I need help please! need answers quickly!!

Mathematics

2 answers:

NARA [144]4 years ago

8 0

Answer:

Step-by-step explanation:

3.1 - 1.3 = t + 2.9

1.8 = t + 2.9

-1.1 = t

t = -1.1

REY [17]4 years ago

5 0

3.1-1.3= t + 2.9
1.8 = t + 2.9
t + 2.9 = 1.8
t = 1.8 - 2.9
t = -1.1

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8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has <u>13 sides.</u>

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has <u>7 sides.</u>

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a <u>Square.</u>

<u>(c)</u>The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The <u>sum of the exterior angle of a polygon is 360 degrees.</u>

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle <u>does not change either in a regular or irregular polygon.</u>

3 0

3 years ago

Deon has a pizza with a diameter

OverLord2011 [107]

The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.

<h3>What is the area of the circle and the square?</h3>

The area of the circle is

Ac = πr² = πd²/4 sq. units

Where r is the radius and d is the diameter of the circle.

The area of the square is given by

As = s² sq. units

Where s is the length of the side of a square.

<h3>Calculation:</h3>

It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.

So,

The area of pizza is

Ap = Ac = πd²/4 sq. units

= π(10)²/4

= 25π

= 78.54 sq. in

Then, the area of the square box with the length same as the diameter of the pizza is,

As = d²

= 10²

= 100 sq. in

Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.

Learn more about the area of a circle here:

brainly.com/question/15673093

#SPJ1

7 0

2 years ago

B. There are 47 cats. There are 18 fewer cats than birds. How many birds are in

ivolga24 [154]

Answer:

Step-by-step explanation

47 + 18 = 65

6 0

3 years ago