Answer
it is the 3rd one I believe sorry if you got it wrong thought
Step-by-step explanation:
I think you can find the explan on g00gle or on your notes if you write any
Okie doke. So, we are rounding this number to the nearest thousandths place, which is three digits behind the decimal. The rules for rounding are if the number is 5 or more in the digit behind it, the number goes up. If it is 4 or less, the number goes back. In other words, we depend on the digit right of the digit we are rounding to in order to see what we do. The number we are rounding is 1.49882. The 8 is in the thousandths place and the 8 is to the right of that, which is the ten thousandths place. Because 8 is greater than 5, the number rounds up. So the number rounded to the nearest thousandth is 1.500.
Answer:
Alyssa's team won 20 games.
Step-by-step explanation:
We can introduce a variable that represents how many games Alyssa's team won.
Let x<em> </em>represent how many games Alyssa's team won.
We can now create a expression, we know that her team won 5 out of 7 games which would be equivalent to the fraction 5/7. We also know her team has played 28 games and five sevenths (5/7) of those they won.
This would give us the expression 5/7 = x/28.
We need to do this because 5/7 is equivalent to x the numbers of games they won over 28 the number of games they played.
Solving for 5/7 = x/28 we have:
5/7 = x/28
We need to isolate x on the right side to do so we can multiply both sides by 28.
5/7 * 28 = x/28*28 simplifying
20 = x.
Therefore the number of games Alyssa's team won is 20 games.
Answer:
i) Area = 25 m²
ii) slope of roof = 36.87°
Step-by-step explanation:
(i) Let the midpoint of AB = M
Find BC by using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Legs = MB and MC, hypotenuse = BC
⇒ 1.5² + 2² = BC²
⇒ 6.25 = BC²
⇒ BC = √(6.25) = 2.5
Area of a rectangle = width x length = BC x BE
⇒ area of BCFE = 2.5 x 5 = 12.5
⇒ area of ACFD = area of BCFE = 12.5
Therefore area covered by tiles = 12.5 + 12.5 = 25 m²
ii)
The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.
Using sin(A)/a = sin(B)/b = sin(C)/c
sin(90)/2.5 = sin(B)/1.5
0.4 = sin(B)/1.5
0.6 = sin(B)
∠B = 36.87°
