Answer:try 43
Step-by-step explanation:
7 = r^1/2 is the same as saying 7 = square root of r. So, to get rid of the square root sign on the r, you need to square it, and when you do something to one side of the equation, you have to do the same to the other side. So after squaring both sides, you get 49 = r.
Answer:
Theta = 59 degrees
Step-by-step explanation:
Here, we want to get the value of the marked angle
To do this, we use the appropriate trigonometric ratio
From what we have,
The side 42 ft is adjacent the angle given
The side facing the right angle is 82 ft
The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse
Cos theta = 42/82
theta = cos^-1 0.5122
theta= 59.189
To the nearest degrees, this is 59 degrees
Answer: 25
Step-by-step explanation:
Both lines are being cut by the same transversal so to solve for x, make both equations equal to each other
2x+10 = 3x-15
To isolate x, do the inverse operations (for any side chosen)
Do the inverse operations to move -15 and isolate 3x
Add 15 to 10 (10+15=25)
You now have 2x+25=3x
Now, do the same to combine the x values together
25=3x-2x
You now have 25=1x
Divide by 1 on both sides
25=x