Use the Law of Cosines to solve the triangle. (Let a =
11.9 ft and c...
Use the Law of Cosines to solve the triangle. (Let a =
11.9 ft and c = 12.1 ft. Round your answer for b
to two decimal places. Round your answers for A and
C to the nearest minute.)
a) Use the law of sines to solve a triangle with sides a = 9, b
= 16, and angle C = 80◦ .
b) . Use the law of cosines to solve a triangle with sides a =
8, c = 17, and angle B = 35◦ .
Suppose that an oblique triangle has side a = 12 ft, side b = 31
ft and angle ? = 20.5°. Find all possible values for angle C (round
your answer to the nearest hundredth position).
A. 94.72°
B. 94.72° ?? 44.28°
C. 64.78° ?? 115.22°
D. 23.92 E. none of these
Let us consider a sample of 35 continuous measurements:
12.5
11.9
13.2
17.4
13.5
15.7
11.9
13.7
16.5
12.4
11.6
17.2
15.6
14.9
12.8
17.5
15.7
11.6
14.9
15.2
13.7
13.3
12.6
11.7
17.3
15.6
14.6
13.6
11.6
12.6
15.3
13.8
16.4
15.8
17.4
Test whether this sample is from a normal population or not. Use
a 5% level of significance.
I've already calculated the mean to be 13.31 and the standard
deviation to be 1.94 but I'm not sure...
let triangle ABC be a triangle in which all three interior
angles are acute and let A'B'C' be the orthic triangle.
a.) Prove that the altitudes of triangle ABC are the angle
bisectors of triangle A'B'C'.
b.) Prove the orthocenter of triangle ABC is the incenter of
traingle A'B'C'.
c.) Prove that A is the A' -excenter of triangle A'B'C'.
Solve the following SSA triangle. Indicate whether the given
measurements result in no triangle, one triangle, or two
triangles. Solve each resulting triangle. Round each answer to the
nearest tenth. A equals 45degrees°, a equals 57, c equals 63
Let J be the antipodal of A in the circumcircle of triangle ABC.
Let M be the midpoint of side BC. Let H be the orthocenter of
triangle ABC. Prove that H, M, and J are collinear.
Let J be the antipodal of A in the circumcircle of triangle ABC.
Let M be the midpoint of side BC. Let H be the orthocenter of
triangle ABC. Prove that H, M, and J are collinear.
Let a circle inside triangle DEF have a radius = 3, and let it
be tangent to EF at point Z. Suppose |EZ| = 6 and |FZ| = 7. What
are the lengths of d, e, and f?
Use SELECTION, DO NOT USE METHODES AND ARRAYS.
(Inside The Triangle)
Suppose a right triangle is placed in a plane as shown in the book.
The right-angle point is placed at (0, 0), and the
other two points (x,y) are placed at (200, 0), and (0, 100). Write
a program that prompts the user to enter a point with
x- and y-coordinates and determines whether the point is inside the
triangle.
*** Methods are not allowed for this assignment. Do...
An isosceles right triangle, whose hypotenuse is 12 ft long, is
submerged vertically so that the hypotenuse is parallel to the
surface of the water. If its vertex is 3 ft above the surface, find
the total force on one side of the plate?