Answer: The area common to both triangle is 31.77 sq. cm.
Step-by-step explanation:
Since we have given that
30-60-90 triangles are placed.
So, the ratio of sides would be

Since Hypotenuse = 12 cm
So, it becomes,

So, Base would be

and Perpendicular would be

So, Area common to the both triangles would be

Hence, the area common to both triangle is 31.77 sq. cm.
Answer:
8820
Step-by-step explanation:
Prime factorization of 294,
→ 2 × 3 × 7 × 7
Prime factorization of 1260,
→ 2 × 2 × 3 × 3 × 5 × 7
LCM of 294 and 1260,
→ 2 × 2 × 3 × 3 × 5 × 7 × 7
→ 8820
Hence, the LCM is 8820.
Answer:
$337.12
Step-by-step explanation:
Multiply $1562 by 78.5% (or 0.785) =1230.88
Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)
1562-1230.88=337.12
Answer:
Arithmetic
Step-by-step explanation:
Sequences:
A sequence is called arithmetic if the difference between consecutive terms is the same.
A sequence is called geometric if the quotient between consecutive terms is the same.
In this question:
28 - 22 = 22 - 16 = 16 - 10 = ... = 6
Difference is always 6, that is, each term is the previous one subtracted by 6. So the sequence is arithmetic.