Answer:
x,y = -4, -15
Step-by-step explanation:
Well first find the area of the semi-circle.
If the area of a cricle is equal to pi*radius^2 , then you can just find that and divide by 2.
So, A = pi*2^2. = 4pi
We know that the radius is 2 because the length of the side of the rectangle is 4, meaning that the diameter of the semi-circle is 4, and so the radius is 2 as it is half of the diameter.
We can easily calculate the area of the rectangle, which is
Length * width = 6*4 = 24.
Next we divide 4pi by 2 in order to get the area of the semi-circle, giving us an area of 2pi
We can just subtract 2pi from 24 and get the area of the shaded region.
Area of the shaded region (answer): 17.7
The two possible answers are w = 3 and w = -1/5
These answers can be obtained through solving to the absolute value symbols.
<span>−2∣5w−7∣+9=−7 ---> subtract 9 from both sides
</span><span>−2∣5w−7∣= -16 ---> divide both sides by -2
</span>∣5w−7∣= 8
Now, because of the absolute value symbols, set the inside equal to 8 and -8 for the two answers.
5w - 7 = 8
5w = 15
w = 3
AND
5w - 7 = -8
5w = -1
w = -1/5
Answer:
Option (1).
Step-by-step explanation:
Amount of water hold by both the pitchers (Large + small) = 12 cups
Let the small pitcher holds the water = S cups
If the water hold by the large pitcher is twice the size of the small pitcher, then the amount of water hold by large pitcher = 2S
Total amount water hold by both = S + 2S
Equation for this situation will be,
S + 2S = 12
Therefore, Option (1) will be the answer.
Answer:
1) 60
2) 60
3) 119
4) 59
Step-by-step explanation:
All triangle angles add up to 180 degrees. All lines with transversals add to 180 degrees. Use these rules and the measurements given to solve.
