See the attached figure to better understand the problem
we know that
in the triangle BCD
y²+5.66²=z²-------> y²=z²-5.66²------> equation 1
in the triangle ABC
y²+5.66²=x²-------> y²=x²-5.66²------> equation 2
equals 1 and 2
z²-5.66²=x²-5.66²--------> z²=x²---------> z=x
if z=x then
angle A=45°
angle D=45°
in the triangle ABD
cos 45=z/(5.66*2)-------> z=11.32*cos 45-----> 11.32*√2/2----> 8
z=8
x=8
y²=z²-5.66²------> 8²-5.66²-----> y²=31.96------> y=5.65
the answer isthe value of x is 8the value of z is 8the value of y=5.65
Remember to subtract based on the place of the digits. In this case:
32.654
- 0.1
-------------
32.554
32.554 is your answer
hope this helps
Answer:
2, 1, 1/2, 1/4
Step-by-step explanation:
2¹ = 2
2^0 = 1
2^-¹
= 1/2¹
= 1/2
2^-2
= 1/2²
= 1/2*2
= 1/4
To complete the table
2² 2¹ 2^0 2^-1 2^-2
4 2 1 1/2 1/4
Answer:
y - 3 = -8(x + 7)
Step-by-step explanation:
The equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
__
The slope you want is m = -8, which is the slope of the given line.* The given point is (h, k) = (-7, 3), so the equation you're looking for is ...
y - 3 = -8(x -(-7))
The expression inside parentheses can be simplified so you have ...
y - 3 = -8(x + 7)
_____
* The given line is in "slope-intercept" form, which is y = mx + b. Matching this pattern to the given equation, you see that m=-8. Parallel lines have equal slope, so -8 is the slope of the line you're writing the equation for.
B. A hexagonal prism would have every side be a hexagon or a triangle.