Points Of Concurrency
Domain And Range
Unit Circle
Volume
100
Point G represents which point of concurrency?
A) Circumcenter
B) Centroid
C)Orthocenter
D) Incenter
The answer is Centroid
It is centroid because the centroid of a triangle is the intersection of the three medians of the triangle and it is shown in the picture.
100
What variable is commonly used for the domain?
A) Both x and y
B) X
C) Not enough information
D) Y
The answer is X
The domain of a graph consists of all the input values shown on the x-axis and that's how I got X.
100
Sin(5π/3)=
A) 1/2
B) -√3/2
C) √3/2
D) -1/2
The answer is -√3/2
It's -√3/2 because if you look in the unit circle chart you have to find sin(5π/3) and the sin is the y values and it shows that sin(5π/3)= -√3/2.
100
A cylinder has a base radius of 10m and a height of 18m. What is its volume in cubic m, to the nearest tenths place?
The answer is 5654.9 m3
This is how I got my answer
h=18m r=10
v=πr^2h
i put in demos = π(10)^2(18) and you get 5654.866 then you round it to 5654.9 and that's how you get it
200
Segment DE is ____________.
A) An angle bisector
B) A midsegment
C) A median
D) A perpendicular segment
The answer is a midsegment
It is a midsegment because a midsegment is the line segment connecting the midpoints of two sides of a triangle.
200
What variable is commonly used for the range?
A) Y
B) X
C) Not enough information
D) Both X and Y
The answer is Y
How I got Y is because the y values or outputs are range.
200
Is sin x or y?
A) X
B) Y
The answer is Y
It's Y because the sin is the y-coordinate of the point.
200
A rectangular prism has a length of 11ft, a height of 4ft, and a width of 3ft. What is its volume, in cubic ft?
The answer is 132 ft3
11 x 3 x 4 = 132 ft3
300
If AC = 32, what is the length of EC?
A) 16
B) 64
C) 32
D) 8
The answer is 16
How I did it was I divide 32/2 and I got 16
300
Consider the function:(3,11),(4,18),(5,27),(6,38)
What is the Domain?
A) 4,11,5,18
B) 3,11,4,18
C) 3,4,5,6
D) 11,18,27,38
The answer is 3,4,5,6
It's because in order to find the domain you have to find the x values from the function and also that's how you find your answer.
300
Is cos x or y?
A) Y
B) X
The answer is X
X is the answer because cos is the x-coordinate of the point.
300
Find the volume of a right circular cone that has a height of 5.2 cm and a base with a radius of 19 cm. Round your answer to the nearest tenth of a cubic centimeter.
The answer is 1965.8 cm3
How I got it :
h=5.2 r=19
1/3 pi(19)^2(5.2)
i put it in demos and got 1965.79
and then I round it to get 1965.8 cm3
400
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
A) 4
B) 12
C) Not Enough Information
D) 8
The answer is 8
How I got it was I looked at the picture and saw that GF=4 and I multiply it by 2 and got 8
400
Identify the domain of the following relation:
Remember domain is the "x" values
A) -6, 14, 2, 28
B) (-6,14), (0,32), (2,38), (4,44)
C) -6, 0, 2, 4
D) 14, 32, 38, 44
The answer is -6,0,2,4
I got this answer because the picture shows the x values and that's how you get -6,0,2,4.
400
Find the exact value of cosine 135º.
A) - √2/2
B) √2/2
C) - √3/2
D) 0
The answer is - √2/2
The reason is that the question is asking for the cos for 135 and since the cos is the x value it shows in the unit circle chart that - √2/2 is the cos for 135 so that is your answer.
400
What is the volume of a cylinder, in cubic ft, with a height of 3ft and a base diameter of 18ft? Round to the nearest tenths place
The answer is 763.4 ft3
How I got it:
h=3 d=18
18/2 r=9
i put this in demos π(9)^2(3)
and I got 763.4 ft 3
500
The picture shows which point of concurrency?
A) Centroid
B) Incenter
C) Circumcenter
D) Orthocenter
The answer is the incenter
I got incenter because in the picture it is shown in the middle with the circle and by that you should know that is incenter.
500
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
A) D: {1, -3, -4,}
R: {0, 1, 2, -4}
B) D:{0, 1, 2, -4}
R:{1, -3, -4}
C) D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
The answer is D:{0, 1, 2, -4}
R:{1, -3, -4}
The domain is the x values and Range is the y values that's how you get the answer.
500
What is the sin and cos for (-1/2, sq 3/2)?
sin = sq 3/2
cos = -1/2
The reason is that sq 3/2 is the y value which is the sin and -1/2 is the x value and which makes it the cos.
500
A rectangular prism has a length of 17 inches, a height of 15 inches, and a width of 17 inches. What is its volume, in cubic inches?
The answer is 4335 inches^3
How I got it: 17 x 15 x 17
and I got 4335