Answer:
x = 60 degrees
Step-by-step explanation:
we know x+(2x)=180
so, then we get 3x=180
x = 180/3
x = 60
Answer:
Step-by-step explanation:
Since both the triangles are similar, their sides will be in proportion. As one side is getting doubled, by SSS test of similarity, all the other sides will get doubled as well.
As the perimeter of a triangle is sum of its sides, the doubling of all sides will result in doubling of the perimeter.
Hence, perimeter of 2nd triangle = 14 cm.
(x) = arcsec(x) − 8x
f'(x) = d/dx( arcsec(x) −
8x )
<span> 1/xsqrt( x^2 - 1) - 8</span>
f'(x) = 0
1/xsqrt( x^2 - 1) - 8 = 0
8 x sqrt (x^2-1) = 1
<span> ( 8 x sqrt (x^2-1) )^2 = 1</span>
64 x^2 ( x^2 - 1) = 1
64 x^4 - 64 x^2 =1
64 x^4 - 64 x^2 - 1 = 0
x = 1.00766 , - 1.00766
<span> x = - 1.00766</span>
f(- 1.00766) = arcsec(-
1.00766) − 8( - 1.00766)
f( - 1.00766 ) = 11.07949
x = 1.00766
f(1.00766) =
arcsec(1.00766) − 8( 1.00766)
f(1.00766 ) = -7.93790
relative maximum (x, y) =
(- 1.00766 , 11.07949 ) relative minimum (x, y) = ( 1.00766 ,
-7.93790 )
The surface area of a rectangular prism is:
A=2(xy+xz+yz) where x,y, and z are the dimensions, in this case:
A=2(312*114+312*2+114*2)
A=2(35568+624+228)
A=2(36420)
A=72840 ft^2
If it’s a regular quadrilateral and c is a right angle then c will be 90 degrees