Answer:
5/64
Step-by-step explanation:
numerators 1 time 5 is 5 and denominators 8 times 8 is 64; 5/64
Answer:
Option B
Step-by-step explanation:
Again, another great question! Here we are given the following system of equations, bound by quadrant 1 -
![\begin{bmatrix}2x+7y\le \:70\\ 8x+4y\le \:136\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D2x%2B7y%5Cle%20%5C%3A70%5C%5C%208x%2B4y%5Cle%20%5C%3A136%5Cend%7Bbmatrix%7D)
Convert this to slope - intercept form -
![\begin{bmatrix}y\le \frac{70-2x}{7}\\ y\le \:2\left(-x+17\right)\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dy%5Cle%20%5Cfrac%7B70-2x%7D%7B7%7D%5C%5C%20y%5Cle%20%5C%3A2%5Cleft%28-x%2B17%5Cright%29%5Cend%7Bbmatrix%7D)
Now the graphed solution of this intersects at a shaded region with which there are 3 important point that lie on the border. They are the following -
( 0, 10 ),
( 15, 9 ),
( 17, 0 )
When these point are plugged into the main function f ( x, y ) = 2x + 6y, the point ( 15, 9 ) results in the greatest solution of 84. Thus, it is our maximum point -
<u><em>Option B</em></u>
<span>A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters and 12 centimeters. The distance between the bases is 10 centimeters.
</span>
<span>The fittable function seems to be 2 x^2+4 x+7.
So C (167)</span>
Answer:
155°
Step-by-step explanation:
The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...
180° -60° = 120°
The angle x is the sum of the remote interior angles of that large triangle:
x = 35° +120° = 155°
__
<em>Check</em>
The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...
180° -55° -60° = 65°
The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)