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3 years ago

Please help me with this math problem I don’t know it I need to pass this class !!!!!!

Mathematics

1 answer:

Alisiya [41]3 years ago

4 0

The correct option is Option 4: $2a^2b^3 + 10ab^4$

Step-by-step explanation:

Given

Length of box = l = ab

Width of box = w = a+5b

Height of box = h = 2b^2

The volume of a box is given by:

$V = Length*Width*Height\\V = l*w*h$

Putting the values

$V = (ab)(a+5b)(2b^2)\\ = (ab)(2b^2)(a+5b)\\=(2ab^3)(a+5b)\\Distributive property\\=(2ab^3*a) + (2ab^3*5b)\\=2a^2b^3 + 10ab^4$

Hence,

The correct option is Option 4: $2a^2b^3 + 10ab^4$

Keywords: Volume, Polynomials

Learn more about polynomials at:

#LearnwithBrainly

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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 13 sides.

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 7 sides.

(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 Square.

(c)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 sum of the exterior angle of a polygon is 360 degrees.

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 does not change either in a regular or irregular polygon.

3 0

3 years ago

If s = 1 over 3 unit and A = 18s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)

arsen [322]

S= $\frac{1}{3}$
A=18 $s^{2}$
A=18*( $\frac{1}{3 )^{2} }$
A=2

3 0

2 years ago

Read 2 more answers

The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items

Brilliant_brown [7]

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

$C(0) = 10(0) + 500 = 0 + 500 = 500$

b. For zero items produced, cost will be-

$C(25) = 10(25) + 500 = 250 + 500 = 750$

c. If $C(x)_{max} = 1500$

$10x + 500 = 1500\\10x = 1000\\x = 100$

∴ domain for cost function will be $[0,100]$ and range will be 100

7 0

3 years ago

Can someone please HELP ME

nirvana33 [79]

a) the independent variable is the number of training miles.

b) the dependent variable is the cost to mail the package

c) the dependent variable is P

3 0

3 years ago

What is the third angle of a triangle if the other two are (3x-20)° and (4x+10)°

Karolina [17]

Answer:

The other angle is 190-7x.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Let A be the third angle.

A + (3x-20) + (4x+10) = 180

A = 180 - (3x - 20) - (4x + 10) = 190 - 7x

8 0

3 years ago