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
9514 1404 393
Answer:
x-intercept: (16, 0)
y-intercept: (0, 8)
Step-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable of interest.
I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.
<u>x-intercept</u>
y = 0, so we have 4x = 64 ⇒ x = 64/4 = 16
x-intercept is (16, 0)
<u>y-intercept</u>
x = 0, so we have 8y = 64 ⇒ y = 64/8 = 8
y-intercept is (0, 8)
_____
<em>Additional comment</em>
There is a form of the linear equation called the "intercept form" that looks like this:
x/a +y/b = 1
where 'a' is the x-intercept and 'b' is the y-intercept.
You can get this form by dividing the standard form equation by the constant. Here, that gives ...
4x/64 +8y/64 = 1
x/16 +y/8 = 1
This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.
By the law of cosines, the angle
satisfies
which reduces to
which converts to approximately 77 degrees (this can be done my multiplying by 180 and dividing by pi).
Answer:
B
Step-by-step explanation:
To be a function every input must have exactly one output. There are two input values with 2, therefore this makes it not a function.
Answer A would the one that's false
