Remember
note that if
is a perfect cube then
is also a perfect cube when c is an integer
so if a number is a perfect cube then the power must be divisible by 3
8 is not divisible by 3
24 is divisible by 3
26 is not divisibley by 3
64 is not divisible by 3
the perfect cube is y^24
To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).
To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.
We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.
ANSWER: Ike must pull the truck with a force of 16.0 N.
9514 1404 393
Answer:
∠CAB = 28°
∠DAC = 64°
Step-by-step explanation:
What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.
<u>Left</u>
Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...
x + x + ∠AEB = 180°
2x = 180° -124° = 56°
x = 28°
The measure of angle CAB is 28°.
__
<u>Right</u>
Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.
∠BCA = ∠DAC = 64°
The measure of angle DAC is 64°.
(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)
Answer:
Naomi will get paid $630 if she only works 30 hours this week.
Step-by-step explanation:
You divide 840 by 40 to see how much you get paid per hour.
Once you do that you get $21 per hour.
You multiply 21 by 30 to know how much you'd be paid for working 30 hours.
You get your final answer which is $630.
