2 years ago

Is 4 to 7 the same as 7 to 4 and why or why not

Mathematics

1 answer:

podryga [215]2 years ago

8 0

Answer:

Step-by-step explanation:

4 to the 7th power is 4x4x4x4x4x4x4 (4 multiplied by itself 7 times) And 7 to the 4th power is 7x7x7x7 (7 multiplied by itself 4 times)

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A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Be

Vinil7 [7]

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

$\frac{a}{sin(A)}=\frac{b}{sin(B)} =\frac{c}{sin(C)}$

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b = distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a = distance from B to C = 120 m.

Therefore using sine rule:

$\frac{a}{sin(A)}=\frac{b}{sin(B)} \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)} \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o$