For an angle with measure α in a right triangle, _ 5 _ 5 sin α = and tan α = . What is the value of cos α ? 13 12 _ 12
13 questions match · Mathematics · Geometry
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At a certain time of day, a flagpole casts a 9.0 -foot-long shadow and a nearby 4.0 -foot-tall fence post casts a 2.4 -foot-long shadow. Given that both the flagpole and the fence post are vertical and on level ground, what is the height, in feet, of the flagpole?
A regular hexagon is inscribed in a circle with diameter 18 inches, as shown. What is the perimeter, in inches, of the hexagon? 18 in
In the standard (x,y) coordinate plane, how many points are both 5 coordinate units from the origin and also 2 coordinate units from the line y = 0 ?
In nABC , if the measure of ∠A is less than the measure of ∠B , and the measure of ∠B is less than the measure of ∠C , what is the correct ordering of the side lengths, from least to greatest?
For circle O shown, A , B , C , and D are on circle O ; A and B are as far apart as possible; C is halfway between A and B along circle O ; and D is halfway between C and B along circle O . What percent of the area enclosed ⏜ by circle O is enclosed by O ‾C , O‾D , and minor arc C D ? B D O A C
The lengths of corresponding sides of 2 similar right triangles are in the ratio 4:5 . The hypotenuse of the smaller triangle is 20 inches long. How many inches long is the hypotenuse of the larger triangle?
A circle in the standard (x,y) coordinate plane has its center at (3,−4) and passes through (0,0) . Which of the following is an equation for that circle?
The vertex angle of an isosceles triangle is 40° . What is the measure of a base angle?
Equilateral triangle nABC is inscribed in circle O , as ⏜ shown. What is the degree measure of minor arc B C ? A O B C
Which of the following expressions equals the height, in feet, of the tree shown? ? 40° 18 feet
The figure shows nABC , a right isosceles triangle, inscribed in a circle with center O and radius 10 cm. ⏜ What is the length, in centimeters, of arc A B shown as the thick curved line? A B 10 cm O C
The hyperbolas − = 1 and − = 1 are graphed 9 4 36 25 in the standard (x,y) coordinate plane. Which of the following equations is an ellipse that intersects all 4 vertices of the hyperbolas? y x O _ x 2 _ y