Jim and Sarah are running for a president and Cayla and Daniel are running for a vice president.Combinations are:Jim (P) - Cayla (VP)Jim (P) - Daniel (VP)Sarah (P) - Cayla (VP)Sarah (P) - Daniel (VP)In total: 4 combinations.
Let s=number of seeds and t=number of days...
st=120 and (s+10)(t-2)=120
From the first we can say t=120/s, now using this value of t in the second equation gives us:
(s+10)(120/s-2)=120
(s+10)(120-2s)/s=120
(s+10)(120-2s)=120s
120s-2s^2+1200-20s=120s
2s^2+20s-1200=0
s^2+10s-600=0
(s+30)(s-20)=0, since s>0
s=20, and since she planted s+10 seeds per day to finish two days earlier:
20+10=30
She planted 30 seeds per day.
Answer:
<h2>Side YZ is 8 units long.</h2>
Step-by-step explanation:
We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.
By given, we know that 
, which means 
, by radius definition.
An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means 
and 
is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.
Where 
is the hypothenuse and 
, 
are legs of the triangle.
Replacing all given values, we have
However, by sum of segments, we have
, where 
and 
Therefore, side YZ is 8 units long.
First one is 4^2 or just 16.
Second one is using√ So what you want to do is 2√16
Hope this helps
