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?
- 8 (correct)
- 9
- It cannot be determined from the information given.
- 7
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?
- 29.7
- 50.9
- 41.5 (correct)
- 36.0
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 perimeter of triangle ABC.
- Angle A is congruent to angle D.
- The length of $\overline{AB}$ is $\frac{1}{3}$ the length of $\overline{DE}$.
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 $\overline{AD}$. What is the value of 3x?
In the figure above, point B lies on $\overline{AD}$. 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 $24\pi$ 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 $24\pi$ 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, $\overline{AD} \parallel \overline{BC}$ and $CD = \frac{1}{2}AB$. What is the measure of angle B?
In quadrilateral ABCD above, $\overline{AD} \parallel \overline{BC}$ 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 #11 Answer
April 2019 NC #11 Answer
The answer to question 11 on the April 2019 No Calculator section is B.
April 2019 Calc #23 Answer
April 2019 Calc #23 Answer
The answer to question 23 on the April 2019 Calculator section is C.
April 2019 Calc #35 Answer
April 2019 Calc #35 Answer
The answer to question 35 on the April 2019 Calculator section is 84.
October 2019 NC #5 Answer
October 2019 NC #5 Answer
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October 2019 C #28 Answer
October 2019 C #28 Answer
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October 2018 NC #8 Answer
October 2018 NC #8 Answer
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October 2018 NC #11 Answer
October 2018 NC #11 Answer
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October 2018 NC #12 Answer
October 2018 NC #12 Answer
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October 2018 C #15 Answer
October 2018 C #15 Answer
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October 2018 C #30 Answer
October 2018 C #30 Answer
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Study Notes
- In a right triangle where one angle is 60 degrees and one side is 4, the length of side AB is 8.
Triangle ACD
- ∆ACD is a right triangle
- BE is parallel to CD.
- The perimeter of triangle ACD is 41.5 units to the nearest tenth.
Right Triangle
- θ represents an angle in a right triangle.
- sin(θ) = 2/5
- If AC = √n, then n = 84.
Dilation with Center O
- A dilation with center O and scale factor 3 transforms triangle ABC to triangle DEF.
- It's NOT true that the measure of angle E is 3 times the measure of angle B, angle A is congruent to angle D.
Circle With Center O
- Points P, Q, R, and T lie on a circle with center O in the xy-plane.
- Measures of angles POQ and ROT are each 30°.
- The radian measure of angle QOR is 2Ï€/3.
Right Circular Cone Volume
- A right circular cone has a volume of 1/3 π cubic feet and a height of 9 feet
- The radius of the base of the cone = 1/√3 feet.
Trapezoid and Equilateral Triangles
- Logo designed for a company is in the shape of a trapezoid.
- Logo consists of 3 congruent equilateral triangles.
- Perimeter of the logo =20 cm.
- The combined area of the shaded regions = 2√3 cm².
Point B On Line AD
- Point B lies on line AD.
- The value of 3x is 54.
Circle in Xy-plane
- A circle in the xy-plane has a center at (5, 7) and a radius of 2.
- The equation of the circle is (x − 5)² + (y − 7)² = 4
Triangles ABC & DEF
- Triangle ABC is similar to triangle DEF.
- cos(E) = 12/13
Right Circular Cone
- A right circular cone has a volume of 24Ï€ cubic inches.
- Height of the cone =2 inches.
- The radius of the base of the cone =6 inches.
Quadrilateral ABCD Above
- AD is parallel to BC and CD = 1/2 AB.
- Measure of angle B is 150°.
Volume of a sphere formula
- Volume of a sphere = 4/3πr³
- Radius of the sphere in terms of volume: r=∛(3V/4π)
Triangle Values
- In a triangle where angle a = 34 degrees
- Value of b + c = 146.
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