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galben [10]
3 years ago
14

Given that a=43 ,b=82 , and c=28, solve triangle abc. round to the nearest tenth.

Mathematics
2 answers:
iragen [17]3 years ago
8 0

Answer:

C= 55°, b= 33.8 units length , a= 23.3 units length

Step-by-step explanation:

The question is incomplete. The complete data is: a=43°, b=82° and c=28 units length

We know that the addition of the angles of a triangle is 180°, then: c = 180° - 43° - 82° = 55°

From law of sines:

sin(a)/a = sin(c)/c

sin(a)*c/sin(c) = a

sin(43°)*28/sin(55) = a

a = 23.3  units length

sin(b)/b = sin(c)/c

sin(b)*c/sin(c) = b

sin(82°)*28/sin(55) = b

b = 33.8  units length

Virty [35]3 years ago
3 0

Answer:

NO triangle exists.

Step-by-step explanation:

Given that the sides of the triangle are  a=43 ,b=82 , and c=28

To solve for unknown angles of the triangle

PLease refresh the triangle rule of inequality that the sum of any two sides is always greater than the third side

Before solving the triangle, let us check whether this is true.

a+b >c

b+c>a

But a+c is not greater than b.

Hence there cannot be any real triangle with these sides given.

Answer is no triangle exists.

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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s
shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0
1 year ago
84784+24849+748429+123456
zhuklara [117]

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

5 0
2 years ago
Omg ty for the help<br><br>is this the correct way to solve for x?​
Degger [83]

Answer:

x=6 degrees

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Yes! That's exactly right.

8x-1+58+75=180

8x+132=180

8x=48

x=6 degrees

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

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3 0
3 years ago
What is 21 &gt; 15 + 2a
raketka [301]
My bests answer I got was a<3
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3 years ago
What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.? Use π=3.14 an
Alex_Xolod [135]

Answer:

The volume of a right circular cone is 31400\ \text{feet}^3.

Step-by-step explanation:

The circumference of the base of a right circular cone is 125.6 ft.

Height of cone is 75 ft.

Circumference of base is :

C=2\pi r, r is radius

r=\dfrac{C}{2\pi}\\\\r=\dfrac{125.6}{2\times 3.14}\\\\r=20\ ft

The volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (20)^2\times 75\\\\V=31400\ \text{feet}^3

So, the volume of a right circular cone is 31400\ \text{feet}^3.

5 0
3 years ago
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