Answer:
-4 5\12
Step-by-step explanation:
Identify the Least Common Denominator, 12, then just simply evaluate.
So,
53,879 rounded to the nearest hundred:
If the number in the tens place is greater than or equal to 5, then round up. If not, round down.
7 is greater than or equal to 5, so round up.
53,879 --> 53,900
Answer:
The correct option is 4.
4) Doing two distance formulas to show that adjacent sides are not the same length.
Step-by-step explanation:
Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.
We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.
However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.
Answer:
16 cm
Step-by-step explanation:
Suppose that x is the original width. If that original width is enlarged by a scale factor 5/2 that means that x is multiplied by 5/2 and after that multiplication we obtained new width, 40 cm.
Therefore,
x*(5/2) = 40
We multiply the equation by 2 and obtain:
x*5 = 40*2
5x = 80
Now we divide the equation by 5 and obtain:
x = 80/5
x = 16
We obtained that x, the original width was 16 cm
Answer:
Rs 328
Step-by-step explanation:
Find the <u>principal</u> amount invested.
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned
- P = principal
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- I = Rs 320
- r = 5% = 0.05
- t = 2 years
Substitute the given values into the formula and solve for P:
⇒ 320 = P(0.05)(2)
⇒ 320 = P(0.1)
⇒ P = 3200
<u>Compound Interest Formula</u>
where:
- I = interest earned
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = 3200
- r = 5% = 0.05
- n = 1 (annually)
- t = 2 years
Substitute the given values into the formula and solve for I:
Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.
