Answer:
the slope is 4 and the y-intercept is -7
Step-by-step explanation:
The answer is b kilometers and m/s2
Step-by-step explanation:
m∠2 = m∠4
y + 10 = 3y - 24
y - 3y = -24 - 10
-2y = -34
y = -34/-2
y = 17
m∠2 = y + 10
m∠2 = 17 + 10
m∠2 = 27°
a = 6.2
Solution:
Given ABC is triangle.
AC = b = 8, BA = c = 11, ∠A = 32.2°
BC = a
To find the length of a:
Law of cosines:
![a^{2}=b^{2}+c^{2}-2 b c \cdot \cos A](https://tex.z-dn.net/?f=a%5E%7B2%7D%3Db%5E%7B2%7D%2Bc%5E%7B2%7D-2%20b%20c%20%5Ccdot%20%5Ccos%20A)
![a^{2}=8^2+11^{2}-2 \times 8 \times 11 \cdot \cos 32.2^\circ](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D8%5E2%2B11%5E%7B2%7D-2%20%5Ctimes%208%20%5Ctimes%2011%20%5Ccdot%20%5Ccos%2032.2%5E%5Ccirc)
![a^{2}=64+121-174 \cdot \cos 32.2^\circ](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D64%2B121-174%20%5Ccdot%20%5Ccos%2032.2%5E%5Ccirc)
![a^{2}=185-174 (0.8461)](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D185-174%20%280.8461%29)
![a^{2}=185-147.221](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D185-147.221)
![a^{2}=37.779](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D37.779)
Taking square root on both sides of the equation.
a = 6.1464
a = 6.2
The length of BC is 6.2.
Step-by-step explanation:
Discount amount = discount%of marked price
= 20% of 250
= 20/100x250
=Rs 50