Please help me out!!!!!!!!!

Please help asap :( This is my "Final grade" My Teacher wants a full explanation included ! on how i got the answer. )

Mrac [35]

If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)

The total volume of the ball will be;

= Total volume - Volume of hollow part

= 4/3πr³ - 4/3πr³

= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³

= 4 × 3.14 × 9 - 4/3 × 3.14 × 8

= 113.04 - 33.52

= 79.52

If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;

= 79.52 × 3.25

= 258.44 g

Now, if there are 8 spheres in one box, the weight if box will be;

= 258.44 × 8

= 2,067.52 g

_____________________________

Ahh! Finally done with this, if you have any doubt just do ask me :)

3 0

3 years ago

The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How m

densk [106]

Answer:

1083 seats

Step-by-step explanation:

this is an arithmetic sequence :

an = an-1 + c

in our case

a1 = 10 (10 seats in the first row)

a2 = a1 + 1 = 10 + 1 = 11

a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12

an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n

a38 = a1 + 37 = 10 + 37 = 47 seats.

altogether this means the sum of the arithmetic sequence of a1 to a38.

the general sum of an arithmetic sequence from a1 to an is

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

3 0

2 years ago

Find the original price of a pair of gloves that is 28$ after a 30% discount?

egoroff_w [7]

Answer:

$40

Step-by-step explanation:

Find the original price by dividing 28 by 0.7

28/0.7

= 40

So, the original price was $40

5 0

3 years ago

Hello please help me need aanswer

Vika [28.1K]

$\bold{\huge{\purple{\underline{ Answers :- }}}}$

<h3>Answer 1 :-</h3>

If I were one of the students in Barangay then I shall prepare the design of kite by using the known properties of kites in mathematics.

For example, Symmetrical about its main diagonals, Adjacent side equals, Having two pairs of congruent triangle etc.

<h3>Answer 2 :- </h3>

Design of kite assign to me

Step 1 :-

I shall take one paper and cut it like that the adjacent sides of paper are equal

Reason :-

Adjacent sides of kite are equal

Step 2 :-

I shall take two thin sticks and paste it on the paper but sticks should intersect each other at 90°

Reason :-

Kite has 2 diagonals which intersect each other at 90° .

Step 3 :-

Make a hole in the one of the end point of a longest sides.

Observation :-

The kite should be looked like that it having two pairs of congruent triangle with common base.

<h3>Answer 3 :-</h3>

The adjacent sides of the kites are equal that is 4cm and 6cm
The diagonals of the kite bisect each other at 90°
As kite is symmetrical from main diagonals , so it has two opposite and equal Angles that is 127°
The opposite angles at the end points of kite are congruent that is Angle D and Angle C
AC is the bisector of AB and AB is the bisector of AC .

[ Note :- Kindly refer the above attachment ]

<h3>Answer 4 :-</h3>

All mathematical concepts used in making kite are as follows :-

Adjacent sides are equal
Diagonal intersect each other at 90°
Having two pairs of congruent triangle with common base
Symmetrical about its main diagonal
Opposite angles at the end points are equal

3 0

2 years ago

A redundant constraint is one which Group of answer choices is added after the problem is already formulated. can only increase

Xelga [282]

Answer:

Plays no role in determining the feasible region of the problem.

Step-by-step explanation:

A Constraints

These are refered to as the restrictions that hinders or reduces the extent to which the/an objective can be worked on/pursued.

A redundant constraint

These are constraints that can be ignored from a system of linear constraints. It is often refered to as an Implied constraints. That is, they are implied by the constraints that surrounds (totality of) the problem.

This is a type of constraint that is not influenced or affected by the feasible region.

Its qualities includes

1. It does not hinders the optimal solution.

2. It also do not hinders the feasible region.

3. It is easily known with the use of graphical solution method

4 0

3 years ago