Answer:
the ratio is 10:12 and if you were to write it in a fraction you get 10/12 which can be simplified as 5/6
Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
Answer:
Solution given:
B=12.56cm²
P=12.56cm
H=6cm
Surface area of cylinder=P*H+2B=100.48cm²
Volume=B*H=12.56*6=75.36cm³
You can build as many numbers as you like: just pick three primes and repeat them as required.
The only caution is that you have to pick large enough primes to make sure that the result is larger than 1000.
Since
, it is enough that the prime repeating three times is larger than 10.
So, for example, we can pick
- 2, not repeating
- 3, repeating twice
- 11, repeating 3 times
The result is
