Answer:
16
Step-by-step explanation:
a^2+b^2=c^2
a^2+12^2=20^2
144+a^2=400
a^2=256
a=16
<u>Given:</u>
The radius of the circle XY is XY = 11.4 in
The length of ZY is 15.2 in
The length of XZ is 19.6 in
We need to determine whether YZ is a tangent to the circle X.
<u>Is YZ tangent to the circle X:</u>
We shall determine whether YZ is a tangent to the circle X by using the Pythagorean theorem.
Thus, we have;
Substituting the values, we have;
Simplifying, we get;
Since, both sides of the equation are not equal, thus, YZ is not a tangent to the circle X.
Answer:
7.3485
Step-by-step explanation:
Answer: $36 is discounted from the regular price
Step-by-step explanation:
<em>First, we need to take our given numbers</em>
<em>Originally </em><u><em>$90</em></u><em> </em>
<em>On sale for </em><u><em>%40</em></u>
<em>Let's now use this equation</em>
<em>90(n)</em>
<em>n will equal 0.40 due to it being %40 off</em>
<em>90(0.40)</em>
<em>$36</em>
Answer:
The answer is below
Step-by-step explanation:
Let us assume that the age of Greg's brother (Gabe) is x years, and let Greg's age by y years. Since Greg is 10 years older than his brother gabe, then:
y = x + 10 (1)
Also. Greg is 3 times as old as Gabe, hence:
y = 3x (2)
From equation 1 and equation 2:
y = x + 10 = 3x
Hence:
3x = x + 10
Subtracting x from both sides gives:
3x - x = x + 10 - x
2x = 10
Dividing by 2:
2x/2 = 10/2
x = 5 years
y = x + 10 = 5 + 10 = 15 years
Therefore Gabe is 5 years old and Greg is 15 years old
