Answer:
°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:
Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
Now take the cross product in this equation to simplify it further,
Inverse operations, solve this equation for (x),
For the 51-deg angle, y is the opposite leg, and 12 is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin A = opp/hyp
sin 51 deg = y/12
y = 12 * sin 51 deg
y = 9.3
Answer: 31.5 miles
Step-by-step explanation: know how many miles tabitha walked per hour, which is 4.5 miles. then multiply 13.5 x 2, and add 4.5 to receive your answer - 31.5.
Answer:
1, 2
2, 5
3, 8
4, 11
5, 14
Step-by-step explanation:
you just plug each n value into the <em>n</em>
Suppose nick spent x number of tokens on day 1
So he spent x + 5 on day 2
He spent x + 10 on day 3
He spent x + 15 on day 4
He spent x + 20 on day 5
On day 6 he spent x + 25
And on day 7 he spent x + 30
So in all he spent
x + x + 5 + x + 10 + x + 15 + x + 20 + x + 25 + x + 30
= 7x + 105
But total token spent = 203
So
7x + 105 = 203
Subtracting 105 from both sides
7x = 203 - 105
7x = 98
Dividing by 7 on both sides
x = 14
So on third day he spent x + 10
= 14 + 10
= 24 tokens
Tokens spent on day 3 = 24
