Log(7x+1) - log(x-2) =1
log[(7x+1) / (x-2)] =1 or log[(7x+1) / (x-2)] =log10 (log10=1)
it means (7x+1) / (x-2) =10
Solving ===> x=7
Answer:
The distance between the light and the actor's face is 29.24 ft
Step-by-step explanation:
In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.

Let's plug in our numbers and variable.

Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.

Divide 10 by (cos)70.
<em>x = 29.24</em>
So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.
Greetings I am BrotherEye
Answer: How find the volume of a triangular pyramid?
Triangular pyramid volume formula
In words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height
Step-by-step explanation:
Now in mathematical terms Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
Best of Luck!
If AB ≠ EF, the criterion for congruency is violated. In this situation, angle C angle G are not equal :
angle C ≠ angle G