The ans is C
you have perpendicular angles so 60 is equal to the total of the equation... doing the whole math X= 20
If you check the picture below
the rectangular solid is a 6x6x6, so all sides are equal thus is a cube
is painted on all faces, so the only part that's painted is the faces, ok
then you split it like in the picture, you have all 6 faces painted there,
now, let's say each of those 6 faces are cut in 2cm
how many of those 2cm pieces will each have? so get that amount for each and sum them up, that's how many of the cubes have one face painted
only the cubes that are part of the face, which was painted, are the ones that have a painted face themselves
keep in mind that each face is a 6x6 rectangle
notice the 2nd picture below
Answer:
C.) 14
Step-by-step explanation:
Look at the triangle: angles b and c have the same arch, so they are congruent.
In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.
The sides opposite the congruent angles are congruent:
∠B → opposite side → AC
∠C → opposite side → AB
The sides AB and AC are equal. Make an equation:

Simplify the equation, solving for x. Add 7 to both sides:

Subtract 2x from both sides:

The value of x is 7. Insert the value of x into the given length of AC:

Simplify multiplication:

Subtract:

Therefore, the length of the line segment AC is 14.
:Done
Answer:
x ≈ 63.27
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan49° =
=
=
( multiply both sides by 55 )
55 × tan49° = x , then
x ≈ 63.27 ( to the nearest hundredth )
Answer:
1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165. So that's what the premium would have to be in order to get a profit of 0.
2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.
3. The expected profit on 375 policies would be 375 * 185 = $69375
Step-by-step explanation: