Answer:
the length of the line is 7
Step-by-step explanation:
it is b. 7
A) n + d = 20
B) .05n + .10d = 1.40 Multiplying A) by -.10
A) -.1n -.1d = -2 Then adding it to B
B) .05n + .10d = 1.40
-.05n = -.60
n = 12 nickels
d = 8 dimes
High school math tip: learn how to apply the ratios 1:1:√2 for the 45/45/90 right triangle and 1:√3:2 for the 30/60/90 triangle; these two triangles probably constitute 90% of the examples and problems you'll see.
He we have half a square, the 45/45/90 isosceles right triangle, sides in ratio 1:1:√2. We write that ratio for our sides and solve.
1:1:√2 = (3/2)√2 : y : x
Ratios are pretty much like fractions, and we can make fraction equations out of corresponding pairs:
1/1 = ( (3/2)√2 ) / y
y = (3/2)√2
1 /√2 = (3/2)√2 / x
x = (3/2)√2 × √2 = (3/2)(2) = 3
Answer: y = (3/2)√2, x = 3
It's not too hard to get fast at these and just say y=(3/2)√2 because it's an isosceles triangle and x = y×√2 = 3 for the hypotenise.
Step-by-step explanation:
Side a = 63
Side b = 21
Side c = 66.40783 = 21√10
Angle ∠A = 71.565° = 71°33'54" = 1.24905 rad
Angle ∠B = 18.435° = 18°26'6" = 0.32175 rad
Angle ∠C = 90° = 1.5708 rad = π/2Area = 661.5
Perimeter p = 150.40783
Semiperimeter s = 75.20392
Height ha = 21
Height hb = 63
Height hc = 19.92235
Median ma = 37.85829
Median mb = 63.86901
Median mc = 33.20392
Inradius r = 8.79608
Circumradius R = 33.20392
Vertex coordinates: A[0, 0] B[66.40783, 0] C[6.64078, 19.92235]
Centroid: [24.34954, 6.64078]
Inscribed Circle Center: [12.20392, 8.79608]
Circumscribed Circle Center: [33.20392, 0]