Answer:
x = 20
Step-by-step explanation:
First, we need to combine both equations as we know they are create a "straight angle", which is 180 degrees:
2x + 8 + 6x + 12 = 180
Next, we can combine like terms to simplify the equation:
8x + 20 = 180
Now, we can subtract 20 from each side:
8x = 160
Finally, we divide both sides by 8 to find the value of "x":
x = 20
I hope this helps!
-TheBusinessMan
Answer:
Step-by-step explanation:
a. This is a right triangle with two sides and one angle given.
-We apply Sine Rule to find the angle B:

-The sides given are 10and 17 and the right angle 90°

Hence the angle B is 36.03°
b.We again use the sine rule to obtain the unknown angle w:
-15 corresponds to 90° and 9 corresponds to w°

Hence, the measure of w is 36.87°
Let's say that the hypotenuse is length 1.
In a 45 45 90 triangle, the legs are equal to the hypotenuse * (1 / [sq rt (2)])
So if the hypotenuse =1, the legs equal 1 /
<span>
<span>
<span>
1.4142135624
</span>
</span>
</span>
which equals
<span>
<span>
<span>
0.7071067812
</span>
</span>
</span>
Source:
http://www.1728.org/trig2.htm
Answer:
$27 approx
Step-by-step explanation:
Given data
Membership fee= 14.99 per month
for a year the fee is 14.99*12= 179.88
discount = 15%
=15/100*179.88
=0.15*179.88
=26.982
Hence for a year, you will save $27 approx
To simplify √((2x)^2)√2y, we
must multiply the indices of both roots and the coefficients that within both roots. As we can see bellow, we get a root which has index 4:
=((2x)^(2y))^1/4
Finally, the factor (2x)^2 has an exponent which is divisible by the index of the root, so it can be simplified, as it's shown in the following step:
=
(2x)(2y)^1/4