Answer:
<em>a = </em>60°
<em>b </em>=<em> </em>120°
Step-by-step explanation:
First, you can find measure <em>a </em>by using the first shape. There are six rhombuses, and you can use the innermost <em>a </em>of each one to form a circle. A full circle is 360°, so divide 360 by six. The answer is sixty. So on the next shape, the <em>a</em> measurements add up to 120°. Subtract that from the circle: 360 - 120 = 240. And since there are two measurements for <em>b</em>, you would divide 240 by two. The answer is 120.
To check your work, use the knowledge that circles are 360° (the four interior corners of a rhombus will also add up to 360°. 2(120) + 2(60) = 360. Hope this helps! Feel free to ask any questions!
One function you would be trying to minimize is
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>
<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>
To find radius just divide diameter by 2
So the answer will be
6 divide 2 = 3mm
Answer:
btw it olny 8 points but it is c
Step-by-step explanation:
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let 
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
Point-slope intercept formula:
and 
Substitute these in the formula, we get
Add 8 on both sides of the equation.
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16
