Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
6L = 6,000ML
54,000ML = 54L
Answer:
x = 8
Step-by-step explanation:
log₅ (10x − 1) = log₅ (9x + 7)
10x − 1 = 9x + 7
x = 8
<h3>
Answer: Choice A) triangle FDE = triangle IGH</h3>
There are 3 ways to label any triangle. We simply list 3 points in any order. Once we pick an order, the other triangle must follow that same pattern for the sides and angles to match up.
With choice A, we start at the bottom for both triangles (points F and I). For the triangle on the right, we go in counterclockwise direction to get F, D, then E. So we have FDE. The triangle on the left will go opposite this and we go clockwise: I to G to H. So we have IGH.
angle F = angle I
angle D = angle G
angle E = angle H
segment FD = segment IG
segment DE = segment GH
segment EF = segment GI
