9514 1404 393
Answer:
m = 35
n = 110
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
n° = 180° -70°
n = 110
Opposite angles in a parallelogram are congruent.
2m° = 70°
m = 35 . . . . . . divide by 2°
Answer:
AC = 12.5 cm
Step-by-step explanation:
use cosine law c^2 = a^2 + b^2 − 2ab cos(C)
c^2 = 6^2 + 10^2 - 2(6)(10)(cosin100)
c^2 = 156.84
c= √156.84
c= 12.5 cm
The cosine rule is used when we are given either three sides or two sides and the included angle.
Answer:
$125
Step-by-step explanation:
if there was a discount of 20%, the sales price is 100 - 20 = 80% of the original price
let a = original price
this equation can be used to represent the question
a x 0.8 = 100 ]]divide both sides by 0.8
a = 100 / 0.8 = 125
Answer:
y = 6x
Explanation:
This question is asking you to write a linear equation in slope-intercept form, <u>y = mx + b,</u> where m is the slope and b is the y-intercept.
The y-intercept (where the line crosses the y-axis) is visibly 0. As for the slope, you can take two points, I'll use (0,0) and (0.1,0.6) to calculate it.
Slope = y - y/x- x
Slope = (0.6 - 0)/(0.1 - 0) = 0.6/0.1 = 6
Plug in 0 for b and 6 for m and you have an equation.
y = 6x + 0
y = 6x
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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