Answer:
M = 4.33885225095
Step-by-step explanation:
Area of the square ABFE = 10² = 100
M = 100 - (2P + Q)
Let’s calculate 2P + Q :
The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF
Note :
ΔABC is an equilateral triangle
m∠CBF = m∠CAE = 30°
area ΔABC = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922
CG = √(10^2 - 5^2)=8.660254037844 (Pythagorean theorem)
area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π
then
Area 2P + Q = area ΔABC + area sector ACE + area sector BCF
= 43.30127018922+(100÷12)π+(100÷12)π
= 43.30127018922+ (8.333333333333)π + (8.333333333333)π
= 95.66114774905
Conclusion:
M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095
Since the two equations equal y, set them equal to each other.
x-1=-2x+5
From there, solve for x.
First get x on one side, by using the addition property of equality.
x-1=-2x+5
3x-1=5
Isolate x by adding 1.
3x=6
Lastly get x all by itself by dividing each side by 3.
x=2
You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)
y=x-1
y=2-1
y=1
OR
y=-2x+5
y=-2(2)+5
y=-4+5
y=1
Final answer:
x=2 and y=1
Any questions or anything you would like me to clarify, feel free to ask :)
2 sack of cement is needed to cover entire floor of Joel
<em><u>Solution:</u></em>
Given that a sack of cement is enough to cover a floor with a total area of 45 sqft
Joel’s floor length is 8ft by 7ft
To find: Number of sacks needed to cover entire floor of Joel
Let us first find area of Joel's floor
Since the floor is generally of rectangular, we can use area of rectangle
<em><u>So the total area of floor with length 8 feet and width 7 feet is:</u></em>
Thus the total area of floor is 56 square feet
<em><u>Let us now find number of sacks needed to cover entire floor</u></em>
Given that, one sack of cement covers 45 square feet
Since Sack of cement cannot be in point value hence we can say 2 sack of cement is required.
Answer:
1/8
Step-by-step explanation:
Expression equivalent to 5a+5b is:
=5(a+b)
hope this helps ;)
