The perimeter of a parallelogram is the distance around the outside of the parallelogram. A parallelogram has four sides with opposites sides being congruent. The formula for finding the perimeter is Side A + Side B + Side A + Side B.
Answer:
∠ XYZ ≈ 66.4°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosY = 
= 
= 
, then
∠ Y = 
( ) ≈ 66.4° ( to 1 dec. place )
Answer:
It takes 14 years for the account balance to reach $10,296.62
Step-by-step explanation:
Given:
Principal amount = $5,887
Rate of interest = 4% and 12 times per year
Balance amount = $10296.62
To find:
The time to reach $10,296.62 = ?
Solution:
We know that
Here,
N(t) = 10,296.62
= $5,887
r = 4 % = 0.04
we have to find the t value
On substituting the given values
Taking ln to remove e we get
ln
ln(1.749) = 0.04t
t = 13.97
t = 14
Answer:
Step-by-step explanation:
Let the length and breadth of the rectangle be a,b units respectively.
Then the area will be ab square units.
Now if the length of the rectangle is reduced by 5 units and breadth is increased by 2 units then new length and breadth will be (a−5) units and (b+2) units.
Then new area will be (a−5)(b+2).
Then according to the problem,
(a−5)(b+2)−ab=−80
or, 2a−5b=−70.......(1).
Now if length of the rectangle is increased by 10 units and breadth is decreased by 5 units then new length and breadth will be (a+10) units and (b−5) units.
Then new area will be (a+10)(b−5).
Then according to the problem,
(a+10)(b−5)−ab=50
or, 10b−5a=100
or, 2b−a=20
or, 4b−2a=40......(2).
Now adding (1) and (2) we get
−b=−30
or, b=30.
Putting the value of b in (1) we get, a=40.
Now a+b=40+30=70.
You look to the right when you round
A centimeter ruler is more precise because it is a smaller measurement
Yes, there is a difference between 51 and 51.0 because you now know that there is a 0 behind 51 and it was not rounded to become 51.
Units can be helpful because they can help you picture the world problem or convert any numbers like feet to inches properly.
