91Ó°ÊÓ

Many younger children like to play a game similar to baseball called tee-ball. Instead of trying to hit a ball thrown by a pitcher, the batter hits the ball off a tee. To accommodate younger children, the bases are only 40 feet apart. Find the distance between home plate and second base.

Use the \(30^{\circ}-60^{\circ}-90^{\circ}\) and \(45^{\circ}-45^{\circ}-90^{\circ}\) triangles to find each value. Round to four decimal places, if necessary. \(\sin 60^{\circ}\)

Simplify each expression. \(\sqrt{200}\)

Find the distance between \(A(0,0)\) and \(B(3,4)\).

Simplify each expression. \(\sqrt{2} \cdot \sqrt{6}\)

Determine whether it is possible for a trapezoid to have the following conditions. Write yes or no. If yes, draw the trapezoid. congruent diagonals

Use the \(30^{\circ}-60^{\circ}-90^{\circ}\) and \(45^{\circ}-45^{\circ}-90^{\circ}\) triangles to find each value. Round to four decimal places, if necessary. \(\sin 45^{\circ}\)

Line \(\ell\) has a slope of \(\frac{1}{2}\) and a \(y\)-intercept of \(-7\). Which of the following is the equation of \(\ell\) written in slopeintercept form? (A) \(y=\frac{1}{2} x-7\) (B) \(y=\frac{1}{2} x+7\) (C) \(2 x+y=7\) (D) \(x-2 y=14\)

Use the \(30^{\circ}-60^{\circ}-90^{\circ}\) and \(45^{\circ}-45^{\circ}-90^{\circ}\) triangles to find each value. Round to four decimal places, if necessary. \(\cos 30^{\circ}\)

Determine whether it is possible for a trapezoid to have the following conditions. Write yes or no. If yes, draw the trapezoid. three obtuse angles