Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles the legs are equal (2x - 6) and the base is x
Perimeter = (x) + (2x - 6) + (2x - 6)
38 = 5x - 12
38 + 12 = 5x
50 = 5x
10 = x
very simple, we use the formula sin(a+b)=sinacosb +
sinbcosa and sin(20)=2sinacosa
5pi = 2pi/3+3pi/3,
First, we use sin(a+b)=sinacosb + sinbcosa
sin(5pi/3)=sin(2pi/3+3pi/3)=
sin(2pi/3+pi)=
sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)
but we know that sin(pi)=
0, and cos (pi) = -1, so sin(5pi/3)=
- sin(2pi/3)
now, use sin(2a)=2sinacosa,
sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)
sin<span>(5pi/3)=
-2sin(pi/3)cos(pi/3)</span>
<span>sin(pi/3)= 0.86,
cos(pi/3)=0.5, finally we have </span>sin<span>(5pi/3)= -0.86 x 0.5= -0.43</span>
The answer to this equation is x= -19/3
Answer:
Therefore,
Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.
Step-by-step explanation:
Given:
The wind speed near the center of a tornado is represented by the equation,
Where,
d = the distance, in miles
S = the wind speed, in miles per hour.
To Find:
S = ? at d = 4 miles
Solution:
We have
.........Given
Substitute d = 4 in above equation we get,
Rounding the answer to the nearest tenth we have
Therefore,
Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.
Answer:
the answer is x=15 cm
Step-by-step explanation:
here the above given figure is a rectangle ABCD with diagonals AC and BD measuring AC= (x+10)cm and BD=(3x-20) cm
Now,
AC=BD
or, 3x-20 = x+10 [ diagonals of a rectangle are equal]
or, 2x = 30
or, x= 15 cm
I HOPE IT WILL HELP YOU!!!
