Answer:
the slope for y-5=-4(x+1) is: -4
The amount of wax that Maria will need to fill up the cylinder in this scenario is 12pi cm3 which is denoted as option A.
<h3>What is a Cylinder?</h3>
This is defined as a a three-dimensional solid that holds two parallel bases joined by a curved surface usually at a fixed point and the volume is πr²h where r is radius and h is height.
Volume = πr²h
= π × 2² × 3
= 12π cm³
Read more about Cylinder here brainly.com/question/9554871
Answer:
<em>$4.15</em>
Step-by-step explanation:
Let the cost of a cheeseburger be x
Let the cost of a soft pretzels be y
If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;
x + 2y = 8.25 .... 1
Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;
3x + y = 13. 50..... 2
The required equations are:
x + 2y = 8.25
3x + y = 13. 50
Find x and y by solving simultaneously:
From 1: x + 2y = 8.25
x = 8.25 - 2y ..... 3
Substitute 3 into 2
3(8.25-2y)+y = 13.50
24.75 - 6y+y = 13.50
24.75 - 5y = 13.50
-5y = 14.50 - 24.75
-5 y = 10.25
y = -10.25/-5
y = 2.05
Since x = 8.25 - 2y
x = 8.25 - 2(2.05)
x = 8.25 - 4.1
x = 4.15
<em>Hence the cost of a cheesburger is $4.15</em>
Answer: J and L are parallel
Step-by-step explanation:
They are parallel because they have the same slope as each other
Answer:
The number of unique rhombuses that can be constructed is one.
Step-by-step explanation:
A rhombus is a 2D shape with 4 straight sides that are all equal length. Also opposite sides are parallel and opposite angles are equal.
The addition of the 4 angles in a rhombus is equal to 360°. We know that one angle is 40°, its opposite angle is also 40°, then the addition of the other 2 angles (which are equal) is 360° - 2*40° = 280°. The other 2 congruent angles measure 140°.
If you have the length of one side (8 cm in this case), you have the length of all sides.
In conclusion, with one side and one angle a rhombus is completely defined and it's unique.
