Answer:
1 A. 1080°
1 B. 142°, 74°,74°, 125°, 125°
Step-by-step explanation:
1A.
The sum of the measure of the interior angle of a convex octagon is given as
S = (n-2)180°................. Equation 1
Where n = 8 sides
S = (8-2)180°
S = 6×180°
S = 1080°
1B.
The sum of the angle of a convex pentagon is given as
S = (5-2)180°
S = 3×180°
S = 540°
From the diagram,
2x+142+2x+(3x+14)+(3x+14) = 540
10x+170 = 540
10x = 540-170
10x = 370
x = 37°
Hence,
∠H = ∠K = 2(37) = 74°,
∠M = ∠L= (3×37)+14 = 111+14 = 125°
Answer: 205,209
Step-by-step explanation:
We want to find a perfect cube that is closest to the number N = 205,632
A perfect cube number is a number such that the square root is a whole number.
Now, to search this number we must take the square root of N:
n = √(205,632) = 453.47
Now, we can round it down or up and get whole numbers, and the squares of those whole numbers will be perfect squares that are near 205,632, lets start with rounding down.
n = 453
the square of 453 is:
453^2 = 205,209
If instead we round up the 453,47, we would get:
n = 454
and the square will be
n = 454^2 = 206,116
Now, to see which one is closser to N, we can take the differences:
205,632 - 205,209 = 423
206,116 - 205,632 = 484
so if we take n = 453 we are closser no N, then the perfect square that is closest to 205,632 is 205,209
Answer:
Close! But not quite 42 exactly.
Step-by-step explanation:
96/1 X 4/9 = 384/9
Simplify that and you get 42 and 2/3
as a mixed fraction that would be 128/3
Or, if you were rounding to the nearest whole number, you'd round up to 43.
Answer:
x=7/2, y=3
Step-by-step explanation:
3x-2(10-2x)=22
3x-20+4x=22
7x=2
x=7/2
y=10-2(7/2)
y=3
It’s a square, so all 4 sides are the same length, 16.8 inches, multiply 16.8 x 16.8 for area, 282.24 inches squared, or 23 feet and 6.24 inches squared, or 23.52 feet squared
