In triangle ABC, a=5, M

In triangle ABC, a=5, M<B=92°, c=3. Find b.

In triangle ABC, a=5, \(\displaystyle{M}{<}{B}={92}°\)</span>, c=3. Find b.

Answers (1)

The given case is SAS (two sides and included angle) so use the Law of Cosines:
b ~ 5.92

Relevant Questions

asked 2021-04-15
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 235 m, and the car completes the turn in 33.0 s. (Enter only the answers in the input boxes separately given.)
(a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors \(\displaystyle\hat{{{i}}}\) and \(\displaystyle\hat{{{j}}}\).
1. (Enter in box 1) \(\displaystyle\frac{{m}}{{s}^{{2}}}\hat{{{i}}}+{\left({E}{n}{t}{e}{r}\in{b}\otimes{2}\right)}{P}{S}{K}\frac{{m}}{{s}^{{2}}}\hat{{{j}}}\)
(b) Determine the car's average speed.
3. ( Enter in box 3) m/s
(c) Determine its average acceleration during the 33.0-s interval.
4. ( Enter in box 4) \(\displaystyle\frac{{m}}{{s}^{{2}}}\hat{{{i}}}+\)
5. ( Enter in box 5) \(\displaystyle\frac{{m}}{{s}^{{2}}}\hat{{{j}}}\)
asked 2021-02-21

the equations of the altitude AD, BE, CF of a triangle ABC arex \(+ y = 0,\ x - 4y = 0,\ 2x - y = 0\) respectively. the cordinates of Aare \((t, -t)\), find the cordinates of \(B\ \&\ c.\) Prove tha as tvaries the locus of the centroid of the triangle ABC is theline \(x + 5y = 0\)

asked 2021-03-07
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
asked 2021-03-12
Aidan knows that the observation deck on the Vancouver Lookout is 130 m above the ground. He measures the angle between the ground and his line of sight to the observation deck as \(\displaystyle{77}^{\circ}\). How far is Aidan from the base of the Lookout to the nearest metre?
asked 2020-12-13
Expanding isosceles triangle The legs of an isosceles right tri- angle increase in length at a rate of 2 m/s.
a. At what rate is the area of the triangle changing when the legs are 2 m long?
b. At what rate is the area of the triangle changing when the hypot- enuse is 1 m long?
c. At what rate is the length of the hypotenuse changing?
asked 2020-11-20
How would you find m A. Add 30∘ to 180∘
B. Subtract 60∘ from 180∘
C. Subtract 30∘ from 90∘
D. Subtract 180∘ from 60∘.
asked 2020-10-18
Use function notation to describe the way the second variable (DV) depends upon the first variable (IV). Determine the domain and range for each, determine if there is a positive, negative, or no relationship, and explain your answers.
A)IV: an acute angle V in a right triangle: DV: the area B of the triangle if the hypotenuse is a fixed length G.
B)IV: one leg P of a right triangle: DV: the hypotenuse G of the right triangle if the other leg is 2
C)IV: the hypotenuse G of a right triangle: DV: the other leg P of the right triangle is one leg is 5.
asked 2021-02-11
BD bisects \(\displaystyle{<}{A}{B}{C}\). Solve for x and find m\(\displaystyle{m}{<}{A}{B}{D}={7}{x}-{5},{m}{<}{C}{B}{D}={4}{x}+{1}\) x=?
asked 2021-01-13
The drawing shows a uniform electric field that points in the negative y direction; the magnitude of the field is 5300 N/C.Determine the electric potential difference (a) VB - VA between points A and B, (b) VC - VB between points B and C, and (c) VA - VB between points C and A.
A-C is 10.0cm, b-c is 8.0 cm, a-b is 6.0 cm. They are all in a right triangle shape. With angle b having the 90 degree angle, and electric potential is pointing down. This is problem 56 in 7th edition.
asked 2021-02-01
One side of an equilateral triangle is given. Solve for the other sides.
3 ft
1 in.
93 m
8.4 yd