In Δ EFG , side E = 22, m < E= 81* and m < G = 26*. Find side G to the nearest tenth of an integer.

  9.8

Step-by-step explanation:

The law of sines tells us ...

  g/sin(G) = e/sin(E)

Multiplying by sin(G) and filling in the given values, we have ...

  g = e·sin(G)/sin(E) = 22·sin(26°)/sin(81°) ≈ 9.76438

Side G is about 9.8 in length.

g = 9.8

Step-by-step explanation:

Considering the given triangle EFG, to determine side g, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

e/SinE = f/SinF = g/SinG

Therefore

g/Sin 26 = 22/Sin 81

Cross multiplying, it becomes

gSin81 = 22Sin26

0.988g = 22 × 0.438

0.988g = 9.636

g = 9.636/0.988

g = 9.8

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336