A triangle with angle measures 30°, 60°, 90° has a perimeter of 18+6√3. What is the length of the longest side of the triangle?

# Thomas is making a sign in the shape of a regular hexagon with 4-inch sides…

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?

# In the xy-plane what is the slope of the line that passes through the origin and makes a 42° angle with the positive x-axis? A. 0.67 B. 0.74 C. 0.90 D. 1.11

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…)

# sin (90-x) = 12/13 what is the value of sin x?

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.

Practice question for Circles, Radians, and a Little More Trigonometry, #5, p. 272, 4th Ed.

# Test 7 Section 4 #36

Test 7 Section 4 #36

# I am very confused about why the answer question 5 on page 28 is A…

I sorry I am very confused about why the answer question 5 on page 28 is A would you help me please?

# Can you please explain Test 3 Section 4 #23?

Can you please explain Test 3 Section 4 #23?

# How do you do #18 in Test 6 Section 3 without a calculator?

How do you do #18 in Test 6 Section 3 without a calculator?

# Test 3 Section 3 #20

Test 3 Section 3 #20

# The area bound by the relationship |x|+|y|=2 is

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 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?

A right triangle has side lengths of x-1, x+1, and x+3. What is its perimeter?

# 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?

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?

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