Please help and explain.

Mathematics

2 answers:

vichka [17]1 year ago

7 0

Answer:

Option B

Step-by-step explanation:

The equation is:

$y=10-2x$

when x=2

$y=10-2(2)010-4=6$

When x = 3

$y=10-2(3)=10-6=4$

When x=4

$y=10-2(4)=10-8=2$

Hope this helps

frozen [14]1 year ago

6 0

Answer:

Step-by-step explanation:

It's B

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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:

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