Answer:
The sum of the marked angles = Total angles on the 4 straight lines – Sum of the interior angles of the quadrilateral. Sum of interior angles of polygon of 4 sides = (4 – 2) *1800 =3600
Hence, sum of the marked angles = 4 * 180° – 360° = 720° – 360° = 360°
Step-by-step explanation:
Hope it helps
The derivative of y=cos(^7)base x is
<u> Dydx = (cos(7x))x⋅(ln(cos(7x))−7x(tan(7x)))
</u>
Step-by-step explanation:
step 1 :
y= (cos(7x))x
Take the natural logarithm of either side, bringing the t x down to be the coefficient of the right hand side we get the answer:
step 2 :
⇒ln y = xln (cos (7x))
Differentiate each side with respect to x. The rule of implicit differentiation: ddx (f(y)) = f'(y) ⋅ dydx
step 3 :
<u>∴1y ⋅ dydx = ddx (x) ⋅ln (cos(7x)) + ddx (ln (cos(7x)))⋅x
</u>
Use the chain rule for natural logarithm functions – ddx ( ln (f(x)) )= f'(x)f(x) - we can differentiate the ln (cos (7x))
step 4 :
<u>Ddx (ln (cos(7x))) = −7xsin (7x) cos( 7x 7tan (7x)
</u>
Returning to the original equation:
1y ⋅dydx = ln (cos(7x))−7xtan(7x)
Substitute the original y as a function of x value from the start back in.
Dydx = (cos(7x))x⋅(ln(cos(7x))−7x(tan(7x)))
Answer:
500
Step-by-step explanation:
1=50 and 50 x 10 = 500
Answer:
![y=\frac{3}{4} x-\frac{5}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7D%20x-%5Cfrac%7B5%7D%7B4%7D)
Step-by-step explanation:
two points on the line are
(-1, -2)
(-5, -5)
The slope:
![m=\frac{-2-(-5)}{-1-(-5)} =\frac{-2+5}{-1+5} =\frac{3}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2-%28-5%29%7D%7B-1-%28-5%29%7D%20%3D%5Cfrac%7B-2%2B5%7D%7B-1%2B5%7D%20%3D%5Cfrac%7B3%7D%7B4%7D)
The equation:
with (-1,-2)
![y-(-2)=\frac{3}{4} (x-(-1))](https://tex.z-dn.net/?f=y-%28-2%29%3D%5Cfrac%7B3%7D%7B4%7D%20%28x-%28-1%29%29)
![y+2=\frac{3}{4} x+\frac{3}{4}](https://tex.z-dn.net/?f=y%2B2%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B%5Cfrac%7B3%7D%7B4%7D)
![y=\frac{3}{4} x+\frac{3}{4} -\frac{8}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B%5Cfrac%7B3%7D%7B4%7D%20-%5Cfrac%7B8%7D%7B4%7D)
![y=\frac{3}{4} x-\frac{5}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7D%20x-%5Cfrac%7B5%7D%7B4%7D)
Hope this helps