Answer:
312
Step-by-step explanation:
T.S.A : ( 2 × L × w ) + ( 2 × h × w ) + ( 2 × L × h ) = Area
9 - 3 = 6 - 3 = 3
( 2 × 12 × 3 ) + ( 2 × 8 × 3 ) + ( 2 × 12 × 8 ) = Area
72 + 48 + 192 = 312
Answer:
r·sin Ф = 5(r·cos Ф) - 2
Step-by-step explanation:
y = r·sin Ф and x = r·cos Ф, and so
y = 5x - 2 becomes
r·sin Ф = 5(r·cos Ф) - 2
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
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Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.
Answer:
1) The 38th term is A. 38
2) The 11th term is D. 3072
3) The 3rd term is C. 34
Step-by-step explanation:
1) I added 2 until I got to the 38th term.
2) I multiplied until I got to the 11th term.
3) I added 3 until i got to the 12th term.
The teacher showed a more complex way to do it but this is just what I did.
I took the quiz, so I know that I got them all correct.
Answer:
Remove backets
Group and Evaluate like terms
