a. 9
c. 1
b. -9
'a' and 'b' in the equation y=ax+b are real numbers, where 'a' is the slope of the line and 'b' is the y-intercept.
In the linear equation y = ax + b, 'a' and 'b' are constants or real numbers. The value of 'a' determines the slope of the line, meaning whether the line rises or falls as it progresses along the x-axis. If 'a' is positive the line rises, if 'a' is negative, the line falls. The value of 'b', on the other hand, is the y-intercept. This is the point at which the line crosses the y-axis. So, in essence, 'a' indicates the tilt of the line whereas 'b' defines where it intersects the y-axis.
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Use 3.14 to approximate pi, and express your final answer in hundredths.
-----ft3
2.
A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make a cylinder with a radius of 16 cm.
What was the height of the cylinder?
Use 3.14 to approximate pi, and express your final answer in tenths.
------cm
3.
A cone-shaped container sits inside a larger cone. The inner cone has a height of 3 in. and a diameter of 6 in. The outer cone has the same diameter and is 15 in. tall. The extra space in the outer cone is filled with crushed ice to keep the contents of the inner cone cool.
What is the volume of crushed ice?
Use 3.14 to approximate pi, and express your final answer in hundredths.
------in3
4.Jade scooped sand from a completely filled cylinder using a cone-shaped container. The cylinder had a diameter of 12 in. and a height of 5 in., and was one-fourth full after she scooped one full scoop of sand.
What were the dimensions of the cone-shaped container? Use 3.14 to approximate pi.
A. h = 5 in.; r = 9 in.
B. h = 9.6 in.; r = 15 in.
C. h = 11.25 in.; r = 12 in
D. h = 15 in.; r = 6 in.
5.A cone-shaped container is filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm3 per hour.
How many hours will it take to drain all of the liquid?
Use 3.14 to approximate pi.
--------h
None of the given options in the question are true. Not all acute, scalene or equilateral triangles are the other types. They have distinct characteristic which defines them.
The subject matter of this question is about the different types of triangles, namely acute triangles, scalene triangles, and equilateral triangles.
An acute triangle is a triangle in which all three angles are less than 90 degrees. A scalene triangle is a triangle where all sides and angles are different. An equilateral triangle is a triangle where all sides and angles are equal, with each angle being 60 degrees.
Looking at these definitions, we can see that none of the given options are true. Not all acute triangles are scalene (they can be isosceles or equilateral), not all scalene triangles are acute (they can be obtuse or right), not all acute triangles are equilateral (they can be scalene or isosceles), and not all equilateral triangles are acute (they are, by definition, always acute).
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