Let
![\mathbf u\in\mathbb R^2](https://tex.z-dn.net/?f=%5Cmathbf%20u%5Cin%5Cmathbb%20R%5E2)
, where
![\mathbf u=(u_1,u_2)](https://tex.z-dn.net/?f=%5Cmathbf%20u%3D%28u_1%2Cu_2%29)
and let
![k\in\mathbb R](https://tex.z-dn.net/?f=k%5Cin%5Cmathbb%20R)
be any real constant.
Given this definition of scalar multiplication, we can see right away that there is no identity element
![e](https://tex.z-dn.net/?f=e)
such that
![e\mathbf u=\mathbf u](https://tex.z-dn.net/?f=e%5Cmathbf%20u%3D%5Cmathbf%20u)
because
Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:
![5x-10=\frac{1}{2}(195-(8x+17))](https://tex.z-dn.net/?f=5x-10%3D%5Cfrac%7B1%7D%7B2%7D%28195-%288x%2B17%29%29)
which simplifies down a bit to
which simplifies down a bit more to
Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°
X=7%
y=12%
x+y=20000
0.07x+0.12y=20000*0.19=3800
ABC
MIT
MEL
are right triangles
to solve this you can get help from
ThePythagorean Proposition
or use an useful app all in one calculator
Answer:
X = 20.6 inches
Step-by-step explanation:
Pythagorean Theorem: ![A^{2} =B^{2} +C^{2}](https://tex.z-dn.net/?f=A%5E%7B2%7D%20%3DB%5E%7B2%7D%20%2BC%5E%7B2%7D)
A = 41.2 in, while B = 35.7 in and we are solving for C.
![41.2^{2} = 35.7^{2} +C^{2}](https://tex.z-dn.net/?f=41.2%5E%7B2%7D%20%3D%2035.7%5E%7B2%7D%20%2BC%5E%7B2%7D)
![1697.44 = 1274.49 + C^{2}](https://tex.z-dn.net/?f=1697.44%20%3D%201274.49%20%2B%20C%5E%7B2%7D)
Now solve for C
![422.95 = C^{2}](https://tex.z-dn.net/?f=422.95%20%3D%20C%5E%7B2%7D)
Take the square root
![20.5657482237 = C](https://tex.z-dn.net/?f=20.5657482237%20%3D%20C)