Answer:
Step-by-step explanation:
Given
Shape: Rectangle
Required
Determine the area of the rectangle;
Area is calculated as thus;
Substitute values for Length and Width
<em>Hence, the area of the rectangle is </em>
<em />
Answer:
x=60°
Step-by-step explanation:
Let's say the point where angle x is, be K
Because ABCD and PQRS are paralelograms,
∡PSR = ∡PQR =130°
and
∡DAB=∡DCB=70°
and by angles between parallels
∡SPQ + ∡PQR = 180°
∡SPQ + 130° = 180°
∡SPQ = 50°
by angles opposite by vertex
∡PKC = ∡BKQ = x
So in triangle PKC the sum of all angles must add up to 180°
so
∡SPQ + ∡PKC + ∡DCB = 180
50 + x + 70 = 180
x = 60
Answer:
3/4 hour
Step-by-step explanation:
1/3 + 1/6 + 1/4 = 4/12 + 2/12 + 3/12 = 9/12
12*5 = 60
9*5 = 45
45/60 = 3/4
Answer: 54.99
When rounding 54.987 to the nearest hundredth, we need to look to the thousandths place. If the number in the thousandths place is 5 or greater we round up. If the number in the thousandths place is 4 or less, we round down.
54.987
7 is greater than 5, so we round up. So 54.987 becomes:
54.99
This is the concept of simultaneous equations:
Let the time taken to do one sum be x and time taken to do one product be y.
Total time taken to do 5 sums and seven products will be:
5x+7y=43
Total time taken to do 4 sums and 6 products will be:
4x+6y=36
This gives us the simultaneous equations:
5x+7y=43
4x+6y=36
multiply the top equation by 4 and the bottom equation by 5 then subtract the bottom equation from the top gives us:
-2y=-8
thus:
y=4
next
multiply the top equation by 6 and the bottom equation by 7 then subtract the bottom from the top equation gives us:
-2x=-6
hence;
x=3
therefore:
Total time taken to do 1 sum is x=3 nanoseconds
Total time taken to do 1 product is y=4 nanoseconds
