Answer:
Step-by-step explanation:
<u>Solve for π</u>
- V = 4/3πr³
- 3/4V = πr³
- 3V/(4r³) = π
- π= 3V/(4r³)
Answer:
y = 4x - 1
Step-by-step explanation:
Equation y = 4x - 1 matches the function described in the table.
Answer:
a) x = 128 degrees
b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Step-by-step explanation:
Given:
attached diagram
ABC is a straight line
Solution:
a) Find x
ABC is a straight line
angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.
x is the central angle of the arc APD
so angle ABD is the inscribed angle which equals half of the arc angle =>
angle ABD = x/2 = 64 degrees
Solve for x
x/2 = 64
x = 2*64
x = 128 degrees
b.
Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Answer:
<h3>The answer is option C</h3>
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
![m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20y_2%20-%20y%20_%201%7D%7Bx_%202%20-%20x_%201%7D%20%5C%5C)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(8, 10) and (-7, 14)
The slope is
![m = \frac{14 - 10}{ - 7 - 8} = \frac{4}{ - 15} = - \frac{4}{15} \\](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B14%20-%2010%7D%7B%20-%207%20-%208%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B%20-%2015%7D%20%20%3D%20%20-%20%20%5Cfrac%7B4%7D%7B15%7D%20%20%5C%5C%20)
We have the final answer as
![- \frac{4}{15} \\](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B4%7D%7B15%7D%20%20%5C%5C%20)
Hope this helps you