To find 1. all you have to do is 165/30 and you get $5.50. To find 2. you have to add 165+45 you get 210. then divide 210/40 and you get 5.25
ANSWER
x = 1.2226
EXPLANATION
To solve this equation we have to apply the property of the logarithm of the base,
Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,
Now we apply the property of the logarithm of a power,
In our equation,
Then divide both sides by 4 and solve,
The solution to this equation is x = 1.2226, rounded to four decimal places.
Answer:
12
Step-by-step explanation:
This thing to know about this question is that angle 1 and angle 3 are actually the same.
When two lines intersect, the opposite angles such as that shown in 1 and 3 are equal to each other.
So what you can do is set angle 1 and 3 equal to each other like so:
5x+10 = 70
Then solve for x
5x+10 = 70
5x = 60
x = 12
Answer:
2.33
Step-by-step explanation:
imagine a circle. its center is A, and it goes through B, so its radius is AB.
then it is important to know that the sum of all the angles in a triangle is 180 degrees.
one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.
more back to our circle.
in this circle the line CB is the sine of the angle at A multiplied by the radius.
and AC is the cosine of the angle at A multiplied by the radius.
we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).
=> CB = sin(A)×AB
AC = cos(A)×AB
=> 5 = sin(65)×AB
=> AB = 5 / sin(65)
=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =
= 5 × cot(65) = 2.33
