Answer:
Amanda's popcorn container holds more popcorn
Step-by-step explanation:
<em><u>First we'll have to find the volume.</u></em>
The Volume helps us determine which is bigger.
<em><u>Step 1</u></em>
We'll find Amanda's popcorn container
10cm*10cm*13.5cm=1350cm
<em><u>Step 2</u></em>
We'll find Mary's popcorn container
8cm*8cm*20cm=320cm
<em><u>Step 3</u></em>
Since Amanda's popcorn container has 1350cm (volume) and Mary's popcorn container has 320cm (volume) we'll have this. 1350cm>320cm. We can determine the Amanda's popcorn container has holds more,
<em><u>Final Answer</u></em>
Amanda's popcorn container holds more popcorn
9514 1404 393
Answer:
Step-by-step explanation:
The slope of a line is the tangent of the angle it makes with the x-axis. The given line has a slope of -1/3, so the lines we want will have slopes of ...
m1 = tan(arctan(-1/3) +45°) = 0.5 . . . . . using a calculator
m2 = tan(arctan(-1/3) -45°) = -2
Of course, these two lines are perpendicular to each other, so their slopes will have a product of -1: (0.5)(-2) = -1.
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We can use the point-slope form of the equation for a line to write the desired equations:
y = m(x -h) +k . . . . . line with slope m through point (h, k)
<u>Line 1</u>:
y = 1/2(x -2) +3
y = 1/2x +2
<u>Line 2</u>:
y = -2(x -2) +3
y = -2x +7
<h3>
Answer: 9t+8(101-t)</h3>
Work Shown:
t = number of hours tutoring
101-t = number of hours working as a waiter
The expressions t and 101-t add to 101.
9t = amount earned as a tutor, at $9 an hour
8(101-t) = amount earned as a waiter, at $8 an hour
9t+8(101-t) = total amount earned from both jobs
This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.
Answer:
Therefore Perimeter of Rectangle ABCD is 4 units
Step-by-step explanation:
Given:
ABCD is a Rectangle.
A(-6,-4),
B(-4,-4),
C(-4,-2), and
D (-6,-2).
To Find :
Perimeter of Rectangle = ?
Solution:
Perimeter of Rectangle is given as

Length = AB
Width = BC
Now By Distance Formula we have'

Substituting the values we get


Similarly


Therefore now
Length = AB = 2 unit
Width = BC = 2 unit
Substituting the values in Perimeter we get

Therefore Perimeter of Rectangle ABCD is 4 units
Answer:
x = 19
Step-by-step explanation:
A circle has a total of 360 degrees. Because central angles are congruent to the degree measures of their arcs, and because of vertical angles we can construct the equation :
5x+37+5x+37+3x-9-9=360
We can simplify this to :
8x+28=360
Subtract 28, divide 8, and x is 19