Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
<span>You are given the sum of the power created by wind worldwide which doubles every 3 years. In one an unknown year, the world wind generating capacity was about 91 thousand megawatts. You are asked for the growth rate. the growth rate formula is given below:
growth rate = (present / past)^(1/n)
2 = (present/91MW)^(1/3)
the present power is 728MW</span>
If we have the speed of 18 miles per second, 18miles/s
to find out what is the speed in 1 minute we will need to multiply 18 by 60, as there are 60 seconds in 1 minute
18 miles..............................1 second
?miles..................................60 seconds(1min)
18*60=1080 miles
we have 1080 miles/minute
in 2 minutes we have 1080*2=2160 miles
hope it helps
As a percent is out of 100% or 1 (as a whole number), the best thing to do is multiply it by ten, until you get a whole number. As you cannot have a decimal in a percentage. 2.45x10= 24.5. This is still a decimal, so you need to multiply it be ten again, 24.5x10= 245.
Therefore, 2.45 is a percent is 245%
Axis of symmetry: x=1
Vertex: (1, -24)
Explanation:
6x²-12x-25=-7
6x²-12x-18=0
a=6, b=-12, c=-18
Formula of axis of symmetry: x=-b/2a
x=-b/2a
x= -(-12)/2(6)
x= 12/12
x= 1
Vertex: (1,?)
Sub x= 1 into the equation,
6(1)² - 12(1) - 18 = y
6 - 12 - 18 = y
y = -24
