Given:
In triangle GHI, h = 300 inches, G=30° and H=29º.
To find:
The length of i.
Solution:
We have, G=30° and H=29º.
Using angle sum property, we get





According to Law of sines,

Using Law of sines, we get



Multiply both sides by 0.8572.



Therefore, the length of i is about 530 inches.
Answer:
x = y - 5
Step-by-step explanation:
Given
y = x + 5 ( isolate x by subtracting 5 from both sides )
y - 5 = x
The measures of the angles are 30, 60 and 90 degrees.
Explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.
⇒
2
x
+
4
x
+
6
x
=
180
12
x
=
180
12
x
12
=
180
12
x
=
15
The measures of the angles are:
2
x
=
2
(
15
)
=
30
4
x
=
4
(
15
)
=
60
6
x
=
6
(
15
)
=
90
15:12 is the equivalent ratio of 5:4
Answer:
- The circles radious increases
Step-by-step explanation:
- The equation of a circle can be written as
, where "r" is the radious, and (a,b) are the coordenates in the axis x and b respectively. - Then, in the first circle the coordenates are (0,7), which means that the circle will be center there, and the radious is 7 (
). - The second circle have different coordenates: (-5,4), which means that the circle has moved left (from 0 to -7 in the x axis) and down (from 7 to 4 in the y axis). Additionally, its radious has increased from 7 (
, from 8 (
). - See the attached figure please.
- Then, the <u>correct answers</u> are:
- The circles radious increases (from r=7 to r=8)
- The circles moves left (from x=0 to x=-5)
- The circles moves down (from y=7 to y=4)