Answer: option D
Step-by-step explanation:
Remember the cosine identity:
Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:
Now you can substitute values into and then reduce the fraction.
THerefore you get:
10 percent of 60 is 6. So 60+6= 66
Perimeter is 2width+2length
Therefore since you already know that the perimeter is 60 and the length is 14 you can set up the equation;
60= 2w+14
with this you then need to find w so;
60=2w+14
-14 -14
46=2w
(46/2)=(2w/2)
13=w
The width is 13
Answer:
30
Step-by-step explanation:
a^2 + b^2 = c^2
(8sqrt(3))^2 + b^2 = 16^2
64 * 3 + b^2 = 256
192 + b^2 = 256
b^2 = 64
b = 8
The ratio of the lengths of the sides of this triangle is
8 : 8sqrt(3) : 16
which reduces to
1 : sqrt(3) : 2
This is the ratio of the lengths of the sides of a 30-60-90 triangle.
m<W = 30 deg
12x^3-11x^2+9x+18 divided by 4x+3
put he division into fraction
12x^3-11x^2+9x+18/4 x +3
reduced fraction by 2
12x^3-11x^2+9x+9/2 x +3
calculate sum
12x^3-11x^2+27/2 x +3
that is your answer ^
hope this helps :)
