Podcast
Questions and Answers
In the right triangle above, x = 60. What is the length of side AB ?
In the right triangle above, x = 60. What is the length of side AB ?
- It cannot be determined from the information given.
- 8 (correct)
- 7
- 9
In the figure above, ∆ACD is a right triangle and BE is parallel to CD. What is the perimeter of ∆ACD to the nearest tenth of a unit?
In the figure above, ∆ACD is a right triangle and BE is parallel to CD. What is the perimeter of ∆ACD to the nearest tenth of a unit?
- 41.5 (correct)
- 29.7
- 36.0
- 50.9
In the xy-plane above, a dilation with center O and scale factor 3 transforms triangle ABC to triangle DEF. Which of the following statements is NOT true?
In the xy-plane above, a dilation with center O and scale factor 3 transforms triangle ABC to triangle DEF. Which of the following statements is NOT true?
- The measure of angle E is 3 times the measure of angle B. (correct)
- The perimeter of triangle DEF is 3 times the the perimeter of triangle ABC.
- Angle A is congruent to angle D.
- The length of AB is 1/3 the length of DE.
A graphic designer is creating a logo for a company. The logo is shown in the figure above. The logo is in the shape of a trapezoid and consists of three congruent equilateral triangles. If the perimeter of the logo is 20 centimeters, what is the combined area of the shaded regions, in square centimeters, of the logo?
A graphic designer is creating a logo for a company. The logo is shown in the figure above. The logo is in the shape of a trapezoid and consists of three congruent equilateral triangles. If the perimeter of the logo is 20 centimeters, what is the combined area of the shaded regions, in square centimeters, of the logo?
In the figure above, point B lies on AD. What is the value of 3x ?
In the figure above, point B lies on AD. What is the value of 3x ?
A circle in the xy-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?
A circle in the xy-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?
In the figure above, triangle ABC is similar to triangle DEF. What is the value of cos(E) ?
In the figure above, triangle ABC is similar to triangle DEF. What is the value of cos(E) ?
A right circular cone has a volume of 24Ï€ cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?
A right circular cone has a volume of 24Ï€ cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?
In quadrilateral ABCD above, AD || BC and CD = $\frac{1}{2}$AB. What is the measure of angle B ?
In quadrilateral ABCD above, AD || BC and CD = $\frac{1}{2}$AB. What is the measure of angle B ?
The volume of a sphere is given by the formula V = $\frac{4}{3}Ï€r^3$, where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
The volume of a sphere is given by the formula V = $\frac{4}{3}Ï€r^3$, where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
In the triangle above, a = 34. What is the value of b + c ?
In the triangle above, a = 34. What is the value of b + c ?
Flashcards
April 2019 NC - Q11
April 2019 NC - Q11
The answer is B.
April 2019 Calc - Q23
April 2019 Calc - Q23
The answer is C.
April 2019 Calc - Q35
April 2019 Calc - Q35
The answer is 84.
October 2019 NC - Q5
October 2019 NC - Q5
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October 2019 C - Q28
October 2019 C - Q28
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October 2018 NC - Q8
October 2018 NC - Q8
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October 2018 NC - Q11
October 2018 NC - Q11
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October 2018 NC - Q12
October 2018 NC - Q12
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October 2018 C - Q15
October 2018 C - Q15
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October 2018 C - Q30
October 2018 C - Q30
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Study Notes
- x =60° in the right triangle.
- The length of the side AB is 8.
Triangle ACD
- Triangle ACD is a right triangle.
- BE is parallel to CD.
- Perimeter of triangle ACD is 41.5.
Right Triangle
- sin θ = 2/5
- AC = √n
- The value of n is 84.
Dilation
- A dilation with center O and scale factor 3 transforms triangle ABC to triangle DEF.
- The measure of angle E is not 3 times the measure of angle B.
- The perimeter of triangle DEF is 3 times the perimeter of triangle ABC.
- The length of AB is 1/3 the length of DE.
- Angle A is congruent to angle D.
Circle
- Points P, Q, R, and T lie on a circle with center O.
- The degree measures of angles POQ and ROT are each 30°.
Right Circular Cone
- A right circular cone has a volume of 1/3 π cubic feet.
- The height of the cone is 9 feet.
Graphic Logo
- Graphic designer creating a logo for a company.
- The logo is in the shape of a trapezoid.
- It consists of three congruent equilateral triangles.
- Perimeter of the logo is 20 centimeters.
- Combined area of the shaded regions of the is 2√3 square centimeters.
Point B on AD
- Point B lies on AD.
- The value of 3x is 54.
Circle in the xy-plane
- A circle in the xy-plane has center (5, 7) and radius 2.
- The equation of the circle is (x − 5)² + (y − 7)² = 4.
Similar Triangles
- Triangle ABC is similar to triangle DEF
- The value of cos(E) is 12/13.
Volume of Right Circular Cone
- A right circular cone has a volume of 24Ï€ cubic inches.
- The height of the cone is 2 inches.
- The radius of the base of the cone is 6 inches.
Quadrilateral
- In quadrilateral ABCD, AD is parallel to BC.
- CD = 1/2 AB
- The measure of angle B is 150°.
Sphere volume Formula
- The volume of a sphere is given by the formula V = (4/3)πr³.
- Radius of the sphere in terms of the volume is r = ³√(3V / 4π).
Triangle Measurement
- In the triangle, a = 34.
- The value of b + c is 146.
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