Answer:
0.40x = 320
Step-by-step explanation:
40 = percent, 320 = part. Write the percent as a decimal and multiply by the whole.
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
Answer:
12.5%
Step-by-step explanation:
There is only 1 seven card from the 8 total cards.
1 out of 8.
1/8 = 0.125
P(7) = 12.5%
Answer:
Number 21 is < number 23 is > number 22 is < and number 24 is >
Step-by-step explanation:
Answer:
D) 1/5 e 1/3
Step-by-step explanation:
You have the following quadratic equation:
(1)
In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:
Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:
Then, the roots of the equation (1) are
D) 1/5 e 1/3
