Answer:
9. ![x=30, y=10\sqrt{3}](https://tex.z-dn.net/?f=x%3D30%2C%20y%3D10%5Csqrt%7B3%7D)
11. ![x=5\sqrt{3}, y=10\sqrt{3}](https://tex.z-dn.net/?f=x%3D5%5Csqrt%7B3%7D%2C%20y%3D10%5Csqrt%7B3%7D)
Step-by-step explanation:
9)
![\sin x=\dfrac{10}{20}\\x=\sin^{-1}\left( \dfrac{1}{2} \right)=30^{\circ}\\y=\sqrt{20^2-10^2}=\sqrt{400-100}=\sqrt{300}=10\sqrt{3}](https://tex.z-dn.net/?f=%5Csin%20x%3D%5Cdfrac%7B10%7D%7B20%7D%5C%5Cx%3D%5Csin%5E%7B-1%7D%5Cleft%28%20%5Cdfrac%7B1%7D%7B2%7D%20%5Cright%29%3D30%5E%7B%5Ccirc%7D%5C%5Cy%3D%5Csqrt%7B20%5E2-10%5E2%7D%3D%5Csqrt%7B400-100%7D%3D%5Csqrt%7B300%7D%3D10%5Csqrt%7B3%7D)
11)
![\tan 60= \dfrac{15}{x}\\x=\dfrac{15}{\tan 60}=5\sqrt{3}\\y=\sqrt{(5\sqrt{3})^2+15^2}=\sqrt{75+225}=\sqrt{300}=10\sqrt{3}](https://tex.z-dn.net/?f=%5Ctan%2060%3D%20%5Cdfrac%7B15%7D%7Bx%7D%5C%5Cx%3D%5Cdfrac%7B15%7D%7B%5Ctan%2060%7D%3D5%5Csqrt%7B3%7D%5C%5Cy%3D%5Csqrt%7B%285%5Csqrt%7B3%7D%29%5E2%2B15%5E2%7D%3D%5Csqrt%7B75%2B225%7D%3D%5Csqrt%7B300%7D%3D10%5Csqrt%7B3%7D)
Hope this helps!
Answer:
The length of rectangle is 16 meters and the width of rectangle is 7 meters
Step-by-step explanation:
Let
L -----> the length of the rectangle
W ---> the width of the rectangle
we know that
The perimeter of rectangle is equal to
----> the perimeter of a rectangle is twice the sum of its length and its width
we have
![P=46\ m](https://tex.z-dn.net/?f=P%3D46%5C%20m)
so
![46=2(L+W)](https://tex.z-dn.net/?f=46%3D2%28L%2BW%29)
simplify
-----> equation A
----> equation B
substitute equation B in equation A and solve for W
![23=(2W+2+W)](https://tex.z-dn.net/?f=23%3D%282W%2B2%2BW%29)
![23=3W+2](https://tex.z-dn.net/?f=23%3D3W%2B2)
![3W=23-2](https://tex.z-dn.net/?f=3W%3D23-2)
![3W=21](https://tex.z-dn.net/?f=3W%3D21)
![W=7\ m](https://tex.z-dn.net/?f=W%3D7%5C%20m)
Find the value of L
therefore
The length of rectangle is 16 meters and the width of rectangle is 7 meters
Well A should be congruent to S because (Base Angles Therom)
A =S
Answer:
g= 0,35
Step-by-step explanation:
We apply distributive property, we gather the g on one side and the integers on the other, it clears g
(0.10)(0.5) + 0.35g = 0.15(g + 0.5)
0,05 + 0,35g= 0,15 g + 0,075
0,35g -0,15 g= 0,075 - 0,05
0,20 g = 0,070
g= 0,070 / 0,20 = 0,35
Answer:
x=9
Step-by-step explanation:
since the location of 4x+2 and 7x-25 is across from each other that means that they are equal to each other so you have to set them equal to each other by doing 4x+2=7x-25 then you add like terms you add 25 and 2 together which gives you 27 and the equation will look like 4x+27=7x and then you subtract 4x from 7x which gives you 3x and u get the equation 27=3x now you divide 27 by 3 and get 9 so the equation will be x=9