The fact that this triangle is a right angle triangle makes you now have 2 angles and the 1 side given, so it should be solvable.
First, You know that A=46 and C=90 as it is the right angle, and you know that the sum of any triangle's angles is 180. so now B=180-(90-46)=44
Now to the sides,
sin(B)=opp./hyp.=b/c=8/c=sin(44)
so, c=8/sin(44) which is approximately 11.52 unit length
now, use Pythagoras to find a,
a=√c²-b² =√11.52²-8² which is approximately 8.3 unit length.
Hope this helps.
Answer:
In 16170 ways the committee can be formed.
Step-by-step explanation:
3 faculty members and 5 students are required to form a committee.
The eligible to serve on the committee are 7 faculty members and 11 students.
If each committee position has the same duties and voting rights.
Then, the number of ways of selecting 3 faculty members out of 7 eligible faculty members is
.
Again, the number of ways of selecting 5 students out of 11 eligible students is given by
.
Therefore, in (35 × 462) = 16170 ways the committee can be formed. (Answer)
Answer:
114,688
Step-by-step explanation:
the previous term is multiplied by 4 to get the next term.if you continue with this sequence you would eventually get 114 688
Answer:
.
Step-by-step explanation:
The given equation is

Using distributive property, we get



Isolate variable terms.


Divide both sides by -0.35.



Therefore,
.