Can you use a calculator? If yes, then isolate 7) cot 8) tan 2 theta, etc. Then, input the inverse of that trig into the calculator.
Ex. #7 cot theta= -6/5
Then, input arccot (-6/5) (aka inverse cot (-6/5)) into your calculator.
420=7/6x
The 6, who was under / now goes across the equal sign with * value.
420*6 =7x
2520 = 7x
Now the 7, who is under * value, goes across the equal sign with / value, so
2520/7 = x
x= 360.
420-360 = 60
It earned $60 of interest.
Answer:
10
Step-by-step explanation:
3:4:<u>5</u>:7 added up is 19 so doubling it is-
6:8:<u>10</u>:14 =38
Hope this helps!
Answer:
D. 
Step-by-step explanation:
We have been given an image of a scalene triangle. We are asked to find the equation that can be used to find the value of “b".
We know that perimeter of a triangle is sum of three side lengths of the triangle.
Upon adding the measure of side lengths for our given triangle, we will get:
Combining like terms we will get,
Substituting the value of perimeter and 'a' in above equation we will get:
Upon looking at our given choices, we can see that option D is the correct choice.
Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
