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2 years ago

Please help me on this problem !

Mathematics

1 answer:

svp [43]2 years ago

4 0

Answer:

x = 8.66
y = 17.321

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠C = 180° - A - B = 1.0472 rad = π/3 = 60°

a = c·sin(A)/sin(C) = 8.66025 = 5 $\sqrt{3}$

b = c·sin(B)/sin(C) = 17.32051 = 10 $\sqrt{3}$

Area = $\frac{ab·sin(C)}{2}$ = 64.95191

Perimeter p = a + b + c = 40.98076

Semiperimeter s = $\frac{a + b +c}{2}$ = 20.49038

Height ha = $\frac{2×Area}{a}$ = 15

Height hb = $\frac{2×Area}{b}$ = 7.5

Height hc = $\frac{2×Area}{c}$ = 8.66025

Median ma = $\sqrt{(a/2)^{2} + c2 - ac·cos(B)}$ = 15.61249

Median mb = $\sqrt{(b/2)^{2} + a2 - ab·cos(C)}$ = 8.66025

Median mc = $\sqrt{(c/2)^{2} + b2 - bc·cos(A)}$ = 11.45644

Inradius r = $\frac{Area}{s}$ = 3.16987

Circumradius R = $\frac{a}{2sin(A)}$ = 8.66025

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3 years ago

Y * x = 20 y + x = 9 what numbers are y and x equal to?

Ksivusya [100]

$y = 9 - x$
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3 years ago

Simplify the expression: (6y + 10) - (2y + 3)show work plss

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3 years ago

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Answer:

Step-by-step explanation:

(a)

let, f(x) = 2x+1 & g(x) = 2x+2

So, f(x).g(x) = (2x+1).(2x+2) = 4x² + 6x + 2 = 2x+2 in $Z_4[x]$

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So, deg(f.g) = 5 (as desired) but, deg(f) + deg(g) = 2+2 = 4 but, 4 < 5

So, this is not possible.

So, no such example exists.

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3 years ago