Answer: B. 12.7
Step-by-step explanation:
Answer:
if ∠ABC = 180°,
then, 2x∠ADC = ∠ABC ( angles subtended by an arc at the center is double the angle subtended it at any point on the remaining part if the circle)
{ please read the theorem carefully as i know u wont be able to understand it at first try :) }
therefore ∠ADC = 90°
How would I at least start out those two problems?
It looks to me like you already did. Now just follow through with it.
If the length of each side of the frame's inner dimension (i.e. the glass) is x, and the length of each side of the frame's outer dimension is x^2 - 3, then the area of the frame is:
A = (outer dimension)^2 - (inner dimension)^2
27 = (x^2 - 3)^2 - (x)^2
27 = x^4 - 6x^2 + 9 - x^2
27 = x^4 - 7x^2 + 9 <----- This is where you got to already.
0 = x^4 - 7x^2 - 18
0 = (x^2 - 9)(x^2 + 2)
Therefore, either x^2 = 9 or x^2 = -2... and you know it can't be the latter.
Thus, x^2 = 9 and therefore x = 3. The glass is 3" on each side.
<span>Each (outer) side of the frame is x^2 - 3 = 9 - 3 = 6" </span>
Answer:
d = 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁ = - 2 and a₈ = 26 , then
- 2 + 7d = 26 ( add 2 to both sides (
7d = 28 ( divide both sides by 7 )
d = 4
Answer:
I think it is 3?
Step-by-step explanation:
3, -2 ≤ 0
-5, 0 < -2 ≤ 5
3, -2 > 5
The second two lines do not hold true, as -2 is less than 0 and 5, not greater. The only that is true is the first one, but I am not sure that is how you do it.1
