Given a right triangle, where one cathetus is barA=11 m, the hypothenuse i

Find the point on the line $y=5x+3$ that is closet to the origin.

Find an equation of the plane. The plane through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1)

Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter(A,B, C, D or E)in each blank
A . ${\displaystyle \tan \left(\arcsin \left(\frac{x}{8}\right)\right)}$
B . ${\displaystyle \cos \left(ar\sin \left(\frac{x}{8}\right)\right)}$
C. ${\displaystyle \left(\frac{1}{2}\right)\sin \left(2\arcsin \left(\frac{x}{8}\right)\right)}$
D. ${\displaystyle \sin \left(\arctan \left(\frac{x}{8}\right)\right)}$
E. ${\displaystyle \cos \left(\arctan \left(\frac{x}{8}\right)\right)}$

In $\mathrm{△}PQR$, identify the hypotenuse, adjacent leg, and opposite leg for $\mathrm{\angle }R$.

The following are the dimensions of a few rectangles. Find the are of the two right triangles that are cut from the rectangles using the formmula of the area of a triangle.
A. Lenght= 13.5 m, Breadth=10.5 m
B. Lenght=18 m, Breadth=8 cm
C. Lenght=1.5 m, Breadth=30 cm

[Pic of triangle] Find the measure.

The prism has a cross-sectional area in the shape of a sector. Calculate: a. the radius rr cm,
b. the cross-sectional area of the prism,
c. the total surface area of the prism,
d. the volume of the prism