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In the triangle shown, what is the value of sin x°?

In the figure above, \( tanB=\frac{3}{4} \) . If BC = 15 and DA = 4 , what is the length of \( DE \) ?

RS = 440
ST = 384
TR = 584

The side lengths of right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tanW ?

The measure of angle R is \( \frac{2π}{3} \)  radians. The measure of angle T is \( \frac{5π}{12} \) radians greater than the measure of angle R. What is the measure of angle T, in degrees?

Circle A in the xy-plane has the equation (x +8)²+(y -8)²= 4 . Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the xy-plane is (x +8)²+(y -8)²= k , where k is a constant. What is the value of k?

\( \left(x+6\right)^2+\left(y-7\right)^2=25 \) 
In the xy-plane, the graph of the given equation is a circle. Which point lies on this circle?

A circle has a circumference of 91π centimeters. What is the diameter, in centimeters, of the circle?

Circle A has a radius of 3x and circle B has a radius of 135x. The area of circle B is how many times the area of circle A?

A circle in the xy-plane has its center at (-7, 3) and has a radius of 9. An equation of this circle is \( x^2+y^2+ax+by+c=0 \), where \( a \), \( b \), and \( c \) are constants. What is the value of c?

Points M, N , and P lie on the circle shown.On this circle, minor arc MN has a length of 43 centimeters and major arc MPN has a length of 215 centimeters. What is the circumference, in centimeters, of the circle shown?

In the xy-plane, the graph of the equation (x -6)²+( y -10)² = 36 is a circle. The point (12, c), where c is a constant, lies on this circle. What is the value of c ?

A circle on the xy-plane has a center of (−2, −5). Line k is tangent to the circle on the point (−4, 1). What is the slope of line k?