Solve the right triangle ABC, with C=90 degrees. A=31.3 degrees, c= 18.6ft

B=
a=
b=
simply your answer, type a decimal or integer, round to the nearest tenth as needed
this homework is due in 2 days

B = 58.7°

b = 15.9 ft

a = 9.7 ft

Step-by-step explanation:

We are given;

C = 90°

A = 31.3°

c = 18.6 ft

Since sun of angles in a triangle is 180°, thus; B = 180 - (90 + 31.3)

B = 58.7°

From law of sines, we can find b.

Thus; b/sin B = c/sin C

b/sin 58.7 = 18.6/sin 90

b/0.8545 = 18.6/1

b = 18.6 × 0.8545

b = 15.8937 ft

To the nearest tenth gives;

b = 15.9 ft

Similarly;

a/sin A = c/Sin C

a/sin 31.3 = 18.6/sin 90

a/0.5195 = 18.6

a = 18.6 × 0.5195

a = 9.6627

To the nearest tenth gives;

a = 9.7 ft

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!