Their are 6 equilateral triangles in a regular hexagon:
The area of one triangle = (x²√3)/4, then:
1st answer: The area of the hexagon base: is 6 TIMES the area of one equilateral triangle [or, needed for 2nd, question, TOT AREA:(6x²√3)/4] = (3x²√3)/2] unit²
2nd answer: :
Volume of pyramid: (base area)(height)/3
Volume of pyramid: (3x²√3).(3x)/3 (because height = 3x, given)
Then Volume of pyramid= 3x³√3 unit³.
3 is the answer for the second question
and 6 for the 1st
The hill means it was already 23 feet above ground and he went and back up so the answer is 23 positive
The value of tangent theta is equal to the negative 1. At this value the value of secant theta is 
.
<h3>What is tangent theta?</h3>
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,
Given information-
The value of tangent theta is equal to the negative 1.
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,
The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,
Simplify it further as,
When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of 
. Which extent to the 
for the cosine function.
In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,
Thus the value of secant theta is
Learn more about the tangent theta here;
brainly.com/question/29190
Answer:
y=9-7x
If x= -1, y=16
If x= 0, y=9
If x=2, y= -5
Step-by-step explanation:
Because you are solving the equation for y, you want to have y by itself on one side. The only way to do that in this problem is by subtracting the 7x on both sides.
y+7x=9
-7x -7x ---> y=9-7x
The next part of the question says to find the value of Y for each value of X. Using the given X values, we plug them into the equation we just got in order to find Y.
y=9-7(-1) ----> y=16
y=9-7(0) ----> y=9
y=9-7(2) ----> y=-5
