Answer: 84.14
Step-by-step explanation:
Area of the rectangle is L*W=B*H
14*5=70
To find the area of the half circle we must use the formula pi r^2/2
r=radius
and the radius is 6 because we add 4 and 4 and need to get to 14
because the line below it is 14 and it is a rectangle so the lengths are the same.
Diameter=6
So radius =3
pi (3)^2/2=
9/2 pi + 70=
84.14
Answer:
see explanation
Step-by-step explanation:
Using the property of parallelograms
• The diagonals bisect each other, hence
DH = HF and GH = HE
x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5
Solving the 2 equations simultaneously
x + 1 = 3y → (1)
3x = 5y + 5 → (2)
rearrange (1) expressing x in terms of y
x = 3y - 1 → (3)
substitute x = 3y - 1 in (2)
3(3y - 1) = 5y + 5
9y - 3 = 5y + 5 ( subtract 5y from both sides )
4y - 3 = 5 ( add 3 to both sides )
4y = 8 ( divide both sides by 4 )
y = 2
substitute y = 2 into (3)
x = (3 × 2) - 1 = 6 - 1 = 5
Hence x = 5, y = 2
Answer:
x=33
Each base angle measures 69 degrees
Step-by-step explanation:
the 2 base angles are equal so the measure of 1 base angle = (180 - 42) / 2
= 69 degrees
2x + 3 = 69
2x = 66
x = 33
Answer:
51 DVDs
Step-by-step explanation:
Let the number of DVDs and CDs sold be x each.
<u>Initial</u>
Number of DVDs= 86
Number of CDs= 52
<u>After selling</u>
Number of DVDs= 86 -x
Number of CDs= 52 -x
Given that there are 3 times as many DVDs than CDs left,
86 -x= 3(52 -x)
<em>Expand:</em>
86 -x= 156 -3x
<em>Bring x terms to 1 side, constant to the other:</em>
3x -x= 156 -86
<em>Simplify:</em>
2x= 70
<em>Divide both sides by 2:</em>
x= 35
Amount of DVDs left
= 86 -x
= 86 -35
= 51
She now has 6 oz. if that’s what you’re asking. If not please clarify
