Answer:
Step-by-step explanation:
MX = XN
5r² + 2r + 52 = 4r² + 12r + 27
5r² - 4r² + 2r - 12r + 52 - 27 = 0
r² - 10r + 25 = 0
(r - 5)² = 0
r - 5 = 0
r = 5
4r² + 12r + 27
4•5² + 12•5 + 27
4•25 + 60 + 27
100 + 60 + 27
187
The Second one
I hope I helped you.
Answer:
26 A =1690.48 in^2
27 B 10 2/15 hours
Step-by-step explanation:
26. The area of the mat is given by
A = l*w
where l = 74.8 and w = 22.6
A = 74.8 * 22.6
A =1690.48 in^2
27. The candle is 11 2/5 inches tall. It burns 1 1/8 inches per hour
We need to divide
11 2/5 ÷ 1 1/8
Changing to improper fractions
11 2/5 = (5*11+2)/5 = 57/5
1 1/8 = (8*1+1)/8 = 9/8
57/5 ÷9/8
Copy dot flip
57/5 * 8/9
456/45
Change back to a mixed number
45 goes into 456 10 times with 6 left over
10 6/45
10 2/15 hours
Answer:
Area of segment = 9.8 cm² (Approx.)
Step-by-step explanation:
Given:
Angle θ = 120°
Radius of circle = 4 cm
Find:
Area of segment
Computation:
Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]
Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]
Area of segment = [0.333][3.14][16] - [0.5][16][0.866]
Area of segment = 16.7299 - 6.28
Area of segment = 9.8019
Area of segment = 9.8 cm² (Approx.)
All answer choices show the boundary line going through (0,-2) and (2,2). This is because y = 2x-2 goes through these two points. We make the boundary line a dashed line to indicate that solution points are not found on the boundary (because there is no "or equal to" portion in the inequality sign).
The shading is below the boundary line because of the "less than" sign. Any solution point (x,y) will have its y coordinate smaller than the y coordinate of points on the boundary line. So if (a,b) is on the boundary, then (a,c) is a solution where c < b.
In summary, the graph has a dashed boundary line and the shading is below the boundary
<h3>Answer: Graph B</h3>
