An open concrete tank is internally 1m wide, 2m long and 1.5m deep, the concrete being 10cm thick. Calculate
a) The capacity of the tank in litres.
b.) The volume of concrete used in metres cube
recall that 1L = 1000cm^3
(a) v = 100*200*150 cm^3
(b) Assuming no top, v = (100+20)*(200+20)*10 + 2((100+10)+(200+10))*150*10 cm^3 minus the volume from (a)
watch the units
3000 litres and 1.224m³
8 miles per gallon
Ruth bought a piece of farm machinery valued at $50,000. Over a period of 10 years, the machinery lost value at a constant rate. The graph below models this loss of value.
Which statement most closely matches this relationship?
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1 point
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The machinery ages 3 years for every $10,000 loss in value.
The machinery ages 5 years for every $10,000 loss in value.
Each year, the machinery loses a value of $4,500.
Each year, the machinery loses a value of $2,500.
Each year, the machinery loses a value of $4,500.
Which of the following is a graph of y = 3/2 x^2?
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1 point
Option 1
Option 2
Option 3
Option 4
Option 2
The table shows the amount of money Angelica earned based on the number of hours she worked.
Angelica's Pay
Hours Worked (h) Amount Earned (A)
3 $22.50
8 $60.00
15 $112.50
Which equation best represents Angelica's pay?
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1 point
A = 7.50h
A = 22.50h
A = h + 7.50
A = h + 22.50
A = 7.50h
Which equation is true for all x- and y- values in the table below?
x y
1 7
2 14
3 21
4 28
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1 point
y = x + 7
y = x – 7
y = x /7
y = 7x
y = 7x
Point A(4, 2) is translated according to the rule (x, y) right arrow (x + 1, y – 5) and then reflected across the y-axis.
In which quadrant of the coordinate plane is point A located?
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1 point
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Quadrant IV
Point A(4, 2) is translated according to the rule (x, y) right arrow (x + 1, y – 5) and then reflected across the y-axis.
What are the coordinates of translated point A’? In which quadrant of the coordinate plane is point A’ located?
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1 point
A’(5, −3); Quadrant II
A’(5, −3); Quadrant IV
A’(-5, 3); Quadrant IV
A’(-5, 3); Quadrant II
A’(5, −3); Quadrant IV
Point A(4, 2) is translated according to the rule (x, y) right arrow (x + 1, y – 5) and then reflected across the y-axis.
Using Answer from previous question.
What are the coordinates of reflected point A’’? In which quadrant of the coordinate plane is point A’’ located?
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1 point
A’’(5, 3); Quadrant III
A’’(−5, −3); Quadrant III
A’’(5, 3); Quadrant I
A’’(−5, −3); Quadrant I
A’’(-5, -3); Quadrant II
Can the figure below tessellate a plane?
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1 point
Captionless Image
yes
no
sometimes
it depends on the plane
no
What is the sum of verteces of the internal angles in a tessellation?
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1 point
90 degrees
120 degrees
180 degrees
360 degrees
Other:
360 degrees
The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie?
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1 point
Quadrant I & II
Quadrant II & III
Quadrant III & IV
Quadrant I & III
Quadrant II & IV
Other:
Quadrant II & IV
Look at the shaded triangle in the drawing below. Describe in detail the transformations needed to create the rest of the square design. You can use a combination of translations, reflections, and rotations of the shaded triangle (Figure I) to create the square design.
What would not be a possible first step?
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1 point
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Rotate Figure I 90 degrees clockwise about the origin
Rotate Figure I 90 degrees counterclockwise about the origin
Reflect Figure I over the y axis
Reflect Figure I over the x axis
Other:
Rotate Figure I 90 degrees counterclockwise about the origin (because it would not overlap any side of the triangle with one of the sides of the rectangle).
Look at the shaded triangle in the drawing below. Describe in detail the transformations needed to create the rest of the square design. You can use a combination of translations, reflections, and rotations of the shaded triangle (Figure I) to create the square design.
True or False - I would be able to use translations to complete my square design.
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1 point
Captionless Image
True
false
True.
Look at the shaded triangle in the drawing below. Describe in detail the transformations needed to create the rest of the square design. You can use a combination of translations, reflections, and rotations of the shaded triangle (Figure I) to create the square design.
What would be a possible second step?
Select all appropriate answer options.
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2 points
Captionless Image
Rotate Figure I 90 degrees clockwise about the origin
Rotate Figure I 90 degrees counterclockwise about the origin
Reflect Figure I over the y axis
Reflect Figure I over the x axis
Rotate Figure I 90 degrees clockwise about the origin, Reflect Figure I over the x axis.
Which ordered pair is not a solution of y = –12x – 3?
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1 point
(8,-98)
(-3,33)
(-9,105)
(3,-39)
(-9,105)
Identify the unit rate shown in the graph.
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1 point
Captionless Image
15 gallons per mile
15 miles per gallon
8 miles per gallon
8 gallons per mile