Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?
A) (x – 5)² + (y+5)² = 10
B) (x – 5)² + (y+5)² = 100
C) (x – 10)² + (y+10)² = 10
D) (x – 5√2)² + (y+5√2)² = 100
Clearly, A) is out because that one does not have a radius of 10. What is the most time-efficient way to solve this? Sketch and eyeball?
Test 10 – Question 30
For question 5 on page 242(Angles, Triangle and Polygons), could you explain why the triangle was put into 60,30,90 right triangle and how you came up with b/2 *square root of 3 as the height?
Thomas is making a sign in the shape of a regular hexagon with 4-inch sides, which he will cut out from a rectangular sheet of metal. What is the sum of the areas of the four triangles that will be removed from the rectangle?
Trigonometry does the trick here. Below is that line making a 42° angle with the positive x-axis. I’ve also drawn a dotted segment to make myself a neat little right triangle. Remember that slope is rise over run—how high the line climbs divided by how far it travels right. In this case, the dotted segment (more…)
Think of a 5-12-13 triangle (that’s one of the Pythagorean triples you should know). Say angle A measures x°, which would make angle C measure (90 – x)°. (I’m choosing those based on the fact that I already know that the sine of angle C will be 12/13.) Now that we’ve got it set up, all we (more…)
Practice question for Circles, Radians, and a Little More Trigonometry, #5, p. 272, 4th Ed.
Test 7 Section 4 #36
How do you do #18 in Test 6 Section 3 without a calculator?
Test 3 Section 3 #20
Subject Test Question:
The area bound by the relationship |x|+|y|=2 is
A) 8
B)1
C) 2
D) 4
E) there is no finite area.
How do you find this algebraically?
A square with an area of 2 is inscribed in a circle. what is the area of the circle?
A) pie
B) Pie^2
C) 2pie
D) 2 radical pie
E) 4pie
A right triangle has side lengths of x-1, x+1, and x+3. What is its perimeter?
Hi mike! This question is from the May 2015 SAT.
(will post photo)
In the xy plane above, f and g are functions defined by f(x)=abs[x] and g(x)=-abs[x] + 3 for all values x. What is the area of the shaded region bounded by the graphs of the two functions?
In figure 5, rectangle ABCD is inscribed in a circle. If the radius of the circle is 1 and AB = 1, what is the area of the shaded region?
A) 0.091
B) 0.285
C) 0.614
D) 0.705
E) 0.732
