Solve the equation P = t+ r+ s for t
1 answer:
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Answer:
Measures are SV=9 units., SY=14 units, YW= , YW=
Step-by-step explanation:
Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.
As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.
Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.
Given ST=18 units.
As VY is perpendicular bisector implies SV=9 units.
Also in triangle VTY
⇒
⇒ VY^{2}=115
As vertices of triangle are equidistant from the circumcenter
⇒ SY=YT=UY=14 units
Hence, SY is 14 units
In ΔUWY,
⇒
⇒ ⇒ YW=
In ΔYXU,
⇒
⇒ ⇒ YW=
Hence, measures are SV=9 units., SY=14 units, YW= , YW=
Answer:
Step-by-step explanation:
The formula to find the area of a circle is
We know that
Therefore the area is
Answer:
33k - 15
Step-by-step explanation:
Given expression,
By the distributive property,
By combining like terms,
∵ Further simplification is not possible,
Hence, the required simplified form of the given expression is,
Answer:
d. 10%
Step-by-step explanation:
1. Information to know
15 cards left in the deck, and 5 are diamond, to find the probability of the next 2 cards being diamond, one has to find the probability of the 1st card as a diamond, and then multiply it by the probability of the 2nd card being a diamond.
Remember, probability is;
2. Find probability 1
favorable out comes; diamond = 5
total outcomes; total cards = 15
probability is;
Simplified;
3. Finding probability 2
If the last card drawn was a diamond then the new numbers will be
favorable outcomes; 4
total outcomes; 14
Probability is;
Simplified;
4. Total probability
Now, one has to multiply the first probability by the second probability to find the probability of the event;
=
= 0.095238
~10%