Answer:
A. $27.23
B. $467.77
Step-by-step explanation:
Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?
B.How much money will the store get from the sale of the couch?
Salesperson commission = 5 1/2%
Price of couch = $495
A. Amount earned by the salesperson = 5 1/2% of $495
= 5.5% × 495
= 0.055 × 495
= 27.225
Approximately
Amount earned by the salesperson = $27.23
B.How much money will the store get from the sale of the couch?
Amount the store get = Total price - amount earned by salesperson
= $495 - $27.23
= $467.77
This is a geometric sequence where r = -3.
4 x -3 = -12
-12 x -3 = 36
36 x -3 = -108
-108 x -3 = 324
Answer: 324
We can ise Pythagorean triplet which is ( 12 , 16 , 20 )
Therefore the answer is 16.
Step-by-step explanation:
Or we can use Pythagoras theorem , stated as ;
( hyp )^2 = ( adj )^2 + ( opp )^2
hyp ( hypotenuse ) = 20
We can assume the adj ( adjacent ) = 12
By substituting the values ,
20^2 = 12^2 + ( adj )^2
400 = 144 + ( adj )^2
400 - 144 = ( adj )^2
256 = ( adj )^2
Take the square root of both sides
✓256 = adj
16 = adj
Therefore the length of the other leg which is the adjacent( adj ) side is 16.
We are given that two lines are cutting by a transversal line.
We can see that angle <1 and angle 78 degree are Consecutive Interior Angles.
Note: When two parallel lines cut by a transversal line, the each pair of angles inside the parallel lines on the same side of the transversal are called Consecutive Interior Angles.
Also please note that two Consecutive Interior Angles are supplementary.
In simple words, the sum of two Consecutive Interior Angles is 180 degree.
So, we can apply supplementary angles property of Consecutive Interior Angles to find the angle <1 and given angle 78 degrees in the given diagram.
Therefore, <1 + 78 = 180°.
Subtracting 78 from both sides, we get
<1=102°.
Therefore, <1=102°.
Answer:
The relation between is
Step-by-step explanation:
Natural length = 0.23 m
Spring stretches from 23 cm to 33 cm. now
Work done in stretching the spring
where b = 0 & a = 0.1 m
With limits b = 0 & a = 0.1 m
Put the values of limits we get
------- (1)
Now the work done in stretching the spring from 33 cm to 43 cm.
With limits b = 0.1 m to a = 0.2 m
With limits b = 0.1 m to a = 0.2 m
Thus
This is the relation between .